Global optimization advances in Mixed-Integer Nonlinear Programming, MINLP, and Constrained Derivative-Free Optimization, CDFO

•We review the recent advances in global optimization for Mixed Integer Nonlinear Programming, MINLP.•We review the recent advances in global optimization for Constrained Derivative-Free optimization, CDFO.•We present theoretical contributions, software implementations and applications for both MINL...

Celý popis

Uloženo v:
Podrobná bibliografie
Vydáno v:European journal of operational research Ročník 252; číslo 3; s. 701 - 727
Hlavní autoři: Boukouvala, Fani, Misener, Ruth, Floudas, Christodoulos A.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Amsterdam Elsevier B.V 01.08.2016
Elsevier Sequoia S.A
Témata:
Algorithms
Applications programs
Benchmarking
Benchmarks
Computer programs
Constraints
Derivative-free
Deterministic global optimization
Grey-/Black-box
Integer programming
Literature reviews
Mathematical problems
MINLP
Nonlinear programming
Optimization
Optimization algorithms
Software packages
Studies
MINLP
Grey-/Black-box
Constraints
Deterministic global optimization
Derivative-free
ISSN:0377-2217, 1872-6860
On-line přístup:Získat plný text
Tagy: Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
Abstract •We review the recent advances in global optimization for Mixed Integer Nonlinear Programming, MINLP.•We review the recent advances in global optimization for Constrained Derivative-Free optimization, CDFO.•We present theoretical contributions, software implementations and applications for both MINLP and CDFO.•We discuss possible interactions between the two areas of MINLP and CDFO.•We present a complete test suite for MINLP and CDFO algorithms. This manuscript reviews recent advances in deterministic global optimization for Mixed-Integer Nonlinear Programming (MINLP), as well as Constrained Derivative-Free Optimization (CDFO). This work provides a comprehensive and detailed literature review in terms of significant theoretical contributions, algorithmic developments, software implementations and applications for both MINLP and CDFO. Both research areas have experienced rapid growth, with a common aim to solve a wide range of real-world problems. We show their individual prerequisites, formulations and applicability, but also point out possible points of interaction in problems which contain hybrid characteristics. Finally, an inclusive and complete test suite is provided for both MINLP and CDFO algorithms, which is useful for future benchmarking.
AbstractList This manuscript reviews recent advances in deterministic global optimization for Mixed-Integer Nonlinear Programming (MINLP), as well as Constrained Derivative-Free Optimization (CDFO). This work provides a comprehensive and detailed literature review in terms of significant theoretical contributions, algorithmic developments, software implementations and applications for both MINLP and CDFO. Both research areas have experienced rapid growth, with a common aim to solve a wide range of real-world problems. We show their individual prerequisites, formulations and applicability, but also point out possible points of interaction in problems which contain hybrid characteristics. Finally, an inclusive and complete test suite is provided for both MINLP and CDFO algorithms, which is useful for future benchmarking.
•We review the recent advances in global optimization for Mixed Integer Nonlinear Programming, MINLP.•We review the recent advances in global optimization for Constrained Derivative-Free optimization, CDFO.•We present theoretical contributions, software implementations and applications for both MINLP and CDFO.•We discuss possible interactions between the two areas of MINLP and CDFO.•We present a complete test suite for MINLP and CDFO algorithms. This manuscript reviews recent advances in deterministic global optimization for Mixed-Integer Nonlinear Programming (MINLP), as well as Constrained Derivative-Free Optimization (CDFO). This work provides a comprehensive and detailed literature review in terms of significant theoretical contributions, algorithmic developments, software implementations and applications for both MINLP and CDFO. Both research areas have experienced rapid growth, with a common aim to solve a wide range of real-world problems. We show their individual prerequisites, formulations and applicability, but also point out possible points of interaction in problems which contain hybrid characteristics. Finally, an inclusive and complete test suite is provided for both MINLP and CDFO algorithms, which is useful for future benchmarking.
Author Floudas, Christodoulos A.
Misener, Ruth
Boukouvala, Fani
Author_xml – sequence: 1
  givenname: Fani
  surname: Boukouvala
  fullname: Boukouvala, Fani
  organization: Texas A & M Energy Institute, Texas A & M University, 302 Williams Administration Building, College Station, TX 77843-1372, USA
– sequence: 2
  givenname: Ruth
  surname: Misener
  fullname: Misener, Ruth
  organization: Department of Computing,Imperial College London, South Kensington SW7 2AZ, UK
– sequence: 3
  givenname: Christodoulos A.
  surname: Floudas
  fullname: Floudas, Christodoulos A.
  email: floudas@princeton.edu, floudas@titan.princeton.edu, floudas@tamu.edu
  organization: Texas A & M Energy Institute, Texas A & M University, 302 Williams Administration Building, College Station, TX 77843-1372, USA
BookMark eNp9kT2PEzEQhi10SOQO_gCVJRqK7OKP2N6VaFCOHJFylyugthx7NvJq1w72JgIKfjsOoUBXXOVinmfGM-81ugoxAEJvKakpofJDX0MfU80IFTVlNaHNCzSjjWKVbCS5QjPClaoYo-oVus65J6SQVMzQ77sh7syA42Hyo_9lJh8DNu5kgoWMfcD3_ge4ah0m2EPCDzEMPoBJ-DHFfTLj6MN-ju_XD5vHOTbB4WUMeUqmQA7fQvKn0vIE1SoB4O1_Q-Z4ebvavkYvOzNkePPvvUHfVp-_Lr9Um-3devlpU1kh5FR1nBsrpbS8BdPaFnaOk27HJesocyBMU8qdaVrJDaEdEwsBTBjiFmoHyjX8Br2_9D2k-P0IedKjzxaGwQSIx6xpQyVZNFSRgr57gvbxmEL5naZKqVZKTkWhmgtlU8w5Qaetn_4udl5-0JToczC61-dg9DkYTZkuwRSVPVEPyY8m_Xxe-niRoFzp5CHpbD2UkJxPYCfton9O_wORAqpU
CODEN EJORDT
CitedBy_id crossref_primary_10_3390_rs12111870
crossref_primary_10_1515_revce_2024_0064
crossref_primary_10_1016_j_coche_2024_101012
crossref_primary_10_1016_j_compchemeng_2018_06_027
crossref_primary_10_1002_ese3_1774
crossref_primary_10_1007_s11081_018_9411_8
crossref_primary_10_1007_s10898_021_01006_1
crossref_primary_10_1016_j_apenergy_2017_06_038
crossref_primary_10_1016_j_compchemeng_2018_02_017
crossref_primary_10_1016_j_jclepro_2021_129494
crossref_primary_10_1007_s11590_019_01421_0
crossref_primary_10_1016_j_ces_2020_116275
crossref_primary_10_1002_aic_17189
crossref_primary_10_1080_10556788_2017_1350675
crossref_primary_10_1007_s10614_022_10277_z
crossref_primary_10_1080_02626667_2019_1624922
crossref_primary_10_1134_S1995080221070040
crossref_primary_10_3390_fi17040168
crossref_primary_10_1007_s10596_016_9610_3
crossref_primary_10_1007_s10107_021_01762_8
crossref_primary_10_1007_s10898_023_01309_5
crossref_primary_10_1016_j_compchemeng_2016_07_001
crossref_primary_10_1016_j_compchemeng_2017_10_020
crossref_primary_10_1016_j_compchemeng_2024_108584
crossref_primary_10_3390_pr13040977
crossref_primary_10_1002_aic_16364
crossref_primary_10_1016_j_compchemeng_2018_10_008
crossref_primary_10_1016_j_energy_2020_119311
crossref_primary_10_1016_j_jenvman_2024_123277
crossref_primary_10_1021_acs_iecr_7b00527
crossref_primary_10_3390_pr7110838
crossref_primary_10_1007_s11590_019_01396_y
crossref_primary_10_1016_j_compchemeng_2020_106847
crossref_primary_10_1515_revce_2024_0060
crossref_primary_10_1016_j_compchemeng_2016_10_006
crossref_primary_10_1016_j_compchemeng_2016_10_007
crossref_primary_10_1016_j_cherd_2022_10_014
crossref_primary_10_1016_j_ijpharm_2025_125861
crossref_primary_10_1016_j_ejor_2024_02_020
crossref_primary_10_1016_j_isprsjprs_2017_04_022
crossref_primary_10_1016_j_cherd_2017_05_015
crossref_primary_10_1177_09544100241286256
crossref_primary_10_1007_s10898_020_00890_3
crossref_primary_10_1007_s10898_022_01178_4
crossref_primary_10_3390_en15093299
crossref_primary_10_1016_j_omega_2020_102236
crossref_primary_10_1002_aic_16994
crossref_primary_10_1007_s10898_018_00734_1
crossref_primary_10_1016_j_compchemeng_2022_107903
crossref_primary_10_1371_journal_pone_0182186
crossref_primary_10_1016_j_ejor_2019_01_038
crossref_primary_10_1016_j_heliyon_2024_e32928
crossref_primary_10_3390_eng5030104
crossref_primary_10_1021_acs_iecr_4c03782
crossref_primary_10_1007_s11081_022_09740_5
crossref_primary_10_1108_SASBE_11_2017_0070
crossref_primary_10_1007_s11590_016_1028_2
crossref_primary_10_1016_j_swevo_2023_101427
crossref_primary_10_1016_j_compchemeng_2018_07_016
crossref_primary_10_1002_aic_16507
crossref_primary_10_1016_j_scs_2019_101794
crossref_primary_10_1007_s10898_021_01045_8
crossref_primary_10_1007_s10898_021_01027_w
crossref_primary_10_1016_j_seppur_2023_123682
crossref_primary_10_1109_JIOT_2020_3024223
crossref_primary_10_1007_s10589_022_00363_1
crossref_primary_10_1016_j_compchemeng_2022_107874
crossref_primary_10_1109_TASE_2020_3042409
crossref_primary_10_3390_pr7010009
crossref_primary_10_1007_s10957_019_01499_7
crossref_primary_10_1007_s10287_021_00395_8
crossref_primary_10_1016_j_cej_2018_07_031
crossref_primary_10_1007_s11276_022_02978_y
crossref_primary_10_3390_en15145168
crossref_primary_10_1007_s10898_016_0484_7
crossref_primary_10_1016_j_ces_2018_12_002
crossref_primary_10_1007_s10898_020_00974_0
crossref_primary_10_1016_j_compchemeng_2018_01_005
crossref_primary_10_1016_j_jprocont_2024_103207
crossref_primary_10_3390_en13082084
crossref_primary_10_1016_j_compchemeng_2025_109232
crossref_primary_10_1016_j_compchemeng_2018_03_010
crossref_primary_10_1016_j_compchemeng_2019_03_010
crossref_primary_10_1007_s10898_018_0643_0
crossref_primary_10_1016_j_compchemeng_2023_108411
crossref_primary_10_1016_j_swevo_2020_100748
crossref_primary_10_1016_j_trb_2025_103173
crossref_primary_10_1016_j_oceaneng_2020_108054
crossref_primary_10_3390_en16114304
crossref_primary_10_3390_su13095295
crossref_primary_10_1007_s10107_020_01475_4
crossref_primary_10_1007_s10479_021_03998_1
crossref_primary_10_1287_ijoc_2020_0993
crossref_primary_10_1007_s43938_023_00024_7
crossref_primary_10_1016_j_cej_2020_126659
crossref_primary_10_1016_j_ejor_2019_02_016
crossref_primary_10_1109_JIOT_2024_3408216
crossref_primary_10_1016_j_segan_2025_101924
crossref_primary_10_1007_s40997_025_00914_x
crossref_primary_10_1016_j_compchemeng_2019_106567
crossref_primary_10_1016_j_apenergy_2021_118061
crossref_primary_10_1016_j_compchemeng_2022_107850
crossref_primary_10_1109_TCOMM_2024_3481007
crossref_primary_10_1016_j_compchemeng_2018_06_003
crossref_primary_10_1016_j_jclepro_2020_119983
crossref_primary_10_1049_iet_syb_2018_5079
crossref_primary_10_1007_s11081_018_9377_6
crossref_primary_10_1007_s12532_021_00204_y
crossref_primary_10_1016_j_compchemeng_2020_106772
crossref_primary_10_1016_j_pecs_2024_101201
crossref_primary_10_1016_j_resconrec_2023_106943
crossref_primary_10_1016_j_epsr_2025_111912
crossref_primary_10_1109_TITS_2022_3190669
crossref_primary_10_1002_cpe_8132
crossref_primary_10_1016_j_compchemeng_2017_09_015
crossref_primary_10_1016_j_compchemeng_2019_106599
crossref_primary_10_1016_j_ces_2022_117469
crossref_primary_10_1016_j_ejor_2025_07_016
crossref_primary_10_1016_j_ijpe_2018_09_024
crossref_primary_10_1007_s10589_021_00335_x
crossref_primary_10_1016_j_ast_2019_03_041
crossref_primary_10_1109_TR_2018_2798298
crossref_primary_10_1016_j_compchemeng_2019_106519
crossref_primary_10_1109_TBME_2018_2855404
crossref_primary_10_1007_s11081_021_09601_7
crossref_primary_10_1016_j_ifacol_2023_10_917
crossref_primary_10_1007_s11590_023_02047_z
crossref_primary_10_1016_j_compchemeng_2021_107655
crossref_primary_10_1016_j_ejor_2017_10_058
crossref_primary_10_1109_JIOT_2024_3457488
crossref_primary_10_1007_s11081_020_09551_6
crossref_primary_10_1016_j_compchemeng_2018_03_004
crossref_primary_10_1016_j_ejor_2018_11_021
crossref_primary_10_1016_j_compchemeng_2021_107252
crossref_primary_10_1109_TMC_2024_3483951
crossref_primary_10_1016_j_compchemeng_2020_107193
crossref_primary_10_1146_annurev_chembioeng_100522_112139
crossref_primary_10_1186_s42162_021_00150_y
crossref_primary_10_1007_s10898_017_0577_y
crossref_primary_10_1016_j_ejor_2019_07_044
crossref_primary_10_1016_j_compchemeng_2019_05_008
crossref_primary_10_1016_j_compchemeng_2017_10_006
crossref_primary_10_3390_a16010046
crossref_primary_10_1109_ACCESS_2020_2974262
crossref_primary_10_1109_TR_2017_2715172
crossref_primary_10_1109_JIOT_2025_3567111
crossref_primary_10_7717_peerj_cs_2095
Cites_doi 10.1007/s10898-006-9075-3
10.1002/aic.13977
10.1006/jcta.2001.3225
10.1007/BF01097056
10.1007/s10898-012-9940-1
10.1007/s10107-002-0308-z
10.1007/s10601-009-9076-1
10.1002/aic.12772
10.1016/j.compchemeng.2012.12.008
10.1093/comjnl/7.4.308
10.1016/j.compchemeng.2003.11.006
10.1137/S1052623499352024
10.1002/aic.10717
10.1529/biophysj.107.124016
10.1007/BF01096418
10.1016/S0098-1354(98)00218-X
10.1016/j.jcp.2010.03.005
10.1137/S1052623403433638
10.1137/050635432
10.1021/ie00080a013
10.1016/0098-1354(95)00250-2
10.1007/s10898-004-6455-4
10.1080/02286203.2007.11442407
10.1007/s10898-014-0184-0
10.1007/s10898-012-9890-7
10.1002/wrcr.20326
10.1080/10556788.2010.549231
10.1016/S0165-1889(97)00032-8
10.1016/S0377-0427(00)00421-0
10.1007/BF00941892
10.1007/s10107-008-0226-9
10.1016/j.compchemeng.2012.03.008
10.1007/s10107-005-0581-8
10.1287/moor.8.2.273
10.1016/S0098-1354(98)00027-1
10.1137/08071380X
10.1016/j.tcs.2005.09.062
10.1080/0305215X.2012.687731
10.1007/s10107-011-0496-5
10.1002/aic.13914
10.1002/aic.12754
10.1007/s10898-013-0057-y
10.1162/EVCO_a_00068
10.1109/TEVC.2010.2059031
10.1021/ie800028a
10.1101/gr.1262503
10.1007/s10898-008-9354-2
10.1021/ie200280m
10.1080/10556780902883184
10.1016/j.compchemeng.2004.08.013
10.1016/0166-218X(88)90093-5
10.1002/jcc.540150606
10.1007/BF01096455
10.1093/imanum/drn045
10.1007/s10898-012-0024-z
10.1002/cjce.5450810608
10.1007/s10898-012-9877-4
10.1007/s10898-012-9951-y
10.1080/10556780903087124
10.1023/A:1021924706467
10.1080/0305215X.2013.765000
10.1016/j.ces.2007.09.033
10.1016/j.compchemeng.2005.07.012
10.1016/j.cor.2009.05.003
10.1007/s10107-012-0555-6
10.1080/0305215X.2011.637556
10.1007/s10957-009-9624-2
10.1016/j.cherd.2011.03.002
10.1016/j.compchemeng.2013.01.016
10.1016/0098-1354(94)00097-2
10.1007/s10898-013-0059-9
10.1007/s00158-011-0658-3
10.1016/j.paerosci.2008.11.001
10.1007/s10898-007-9217-2
10.1080/10556788.2012.693926
10.1093/comjnl/8.1.42
10.1016/j.compchemeng.2013.12.014
10.1016/0898-1221(91)90163-X
10.1007/s11081-009-9087-1
10.1016/j.compstruct.2006.02.036
10.1023/A:1011233805045
10.1080/10556788.2014.888426
10.1007/s10898-014-0176-0
10.1205/026387698524901
10.1137/0805015
10.1039/C2EE23369J
10.1007/s10589-014-9660-1
10.1007/s10107-008-0263-4
10.1016/j.compchemeng.2014.03.008
10.1016/j.cor.2010.09.013
10.1007/s11518-013-5234-5
10.1007/BF00939667
10.1063/1.463486
10.2514/1.60492
10.1007/s10898-004-6095-8
10.1007/s10898-008-9287-9
10.1016/j.applthermaleng.2007.11.014
10.1021/ie000761a
10.1007/s11750-011-0193-9
10.1287/ijoc.15.1.114.15159
10.1023/A:1013735414984
10.1007/s10898-012-9869-4
10.1021/ie402931c
10.1021/ie8003573
10.1016/j.orl.2010.05.010
10.1007/s10898-004-2704-9
10.1016/0009-2509(94)80010-3
10.1002/aic.14441
10.1007/s10898-008-9372-0
10.1016/0098-1354(90)87033-L
10.1007/s10107-010-0351-0
10.1007/s10898-010-9572-2
10.1007/s12667-013-0099-8
10.1007/s11590-007-0065-2
10.2172/1000278
10.1016/S0098-1354(97)00146-4
10.1016/j.compchemeng.2013.12.001
10.1016/j.jocs.2012.06.005
10.1137/130917661
10.1007/s10898-005-3249-2
10.1007/s11081-011-9141-7
10.1007/s11081-011-9164-0
10.1002/aic.690410715
10.1021/ie0340995
10.1016/j.cor.2012.08.022
10.1016/j.orl.2013.04.004
10.1090/S0025-5718-05-01772-2
10.1016/j.orl.2004.04.002
10.1063/1.4821583
10.1021/ie500505h
10.1007/BF00122429
10.1007/s10898-012-9874-7
10.1137/110836183
10.1007/s10898-014-0166-2
10.1080/10556788.2013.777722
10.1007/BF01106605
10.1007/s10957-013-0378-5
10.1016/j.disopt.2006.10.011
10.1016/j.ejor.2003.10.009
10.1023/A:1013729320435
10.1021/ie8016048
10.1016/j.biosystems.2005.06.016
10.1007/s10898-011-9757-3
10.1155/2009/150624
10.1023/A:1008217604285
10.1137/120878963
10.1007/s10898-011-9685-2
10.1016/j.compchemeng.2004.06.008
10.1007/s10107-003-0387-5
10.1016/j.cam.2015.04.047
10.1007/s11590-008-0089-2
10.1080/10556788.2014.885521
10.1016/j.compchemeng.2005.02.006
10.1016/j.fluid.2009.09.021
10.1145/779359.779363
10.1162/EVCO_a_00089
10.1039/c3cp53627k
10.1016/j.amc.2013.06.041
10.1016/j.desal.2014.03.026
10.1016/j.compchemeng.2007.03.011
10.1080/10556780802702278
10.1007/BF01099647
10.1016/S0010-4655(02)00735-X
10.1137/090778110
10.1080/10556788.2013.783032
10.1007/s10898-013-0060-3
10.1016/j.compchemeng.2012.06.032
10.1007/s10898-012-9944-x
10.1080/03052159508941259
10.1007/s12532-011-0031-y
10.1080/10556788.2011.648932
10.1021/ie901632w
10.1007/s11081-008-9037-3
10.1007/s10957-012-0033-6
10.1007/s00158-011-0749-1
10.1002/aic.11280
10.1016/j.apenergy.2009.01.022
10.1002/aic.11385
10.1007/s11590-007-0072-3
10.1016/0098-1354(90)80021-3
10.1007/s10898-007-9234-1
10.1002/aic.690320408
10.1115/1.2890106
10.1002/aic.12341
10.1016/j.compchemeng.2004.04.010
10.1007/s10898-014-0177-z
10.1002/aic.13996
10.1016/0098-1354(94)00106-5
10.1007/s10107-010-0371-9
10.1007/s101070050003
10.1287/trsc.1110.0381
10.1080/0740817X.2012.706377
10.1007/s10898-011-9792-0
10.1016/j.compchemeng.2011.01.026
10.1007/s10898-007-9274-6
10.1007/BF01580665
10.1023/A:1013819515732
10.1016/j.compchemeng.2005.02.018
10.1007/s10589-013-9547-6
10.1016/j.compchemeng.2009.11.012
10.1145/1377612.1377613
10.1021/ie800257x
10.1007/BF01096454
10.1080/0305215X.2012.665450
10.1002/bit.21679
10.1007/s12532-008-0001-1
10.1137/07069359X
10.1049/ip-gtd:20020026
10.1016/j.applthermaleng.2006.05.002
10.1007/BF01100203
10.1007/s10898-008-9288-8
10.1007/BF01197708
10.1007/s10107-010-0340-3
10.1016/j.fluid.2010.08.001
10.1007/s10107-013-0690-8
10.1007/BF00138693
10.1137/S105262340138983X
10.1016/j.jbiotec.2005.02.013
10.1016/j.advwatres.2008.01.010
10.1137/080729165
10.1080/10556788.2014.916287
10.1016/j.desal.2012.06.009
10.1287/mnsc.1030.0207
10.1287/ijoc.1040.0102
10.1145/321062.321069
10.1007/s11590-010-0228-4
10.1007/s10479-009-0592-6
10.1007/BF01582066
10.1137/050638382
10.1016/j.compchemeng.2014.10.004
10.1137/040603371
10.1137/070707518
10.1080/10556780903039893
10.1007/s10107-012-0616-x
10.1007/s12247-013-9154-1
10.1023/A:1011295715398
10.1016/j.ejor.2011.04.026
10.1137/080716980
10.1016/S0377-2217(02)00229-1
10.1007/s10107-004-0549-0
10.1002/aic.11228
10.1007/s10898-013-0104-8
10.1007/s10957-013-0396-3
10.1007/s10479-012-1272-5
10.1023/A:1008306431147
10.1007/s10957-014-0617-4
10.1007/s10898-008-9313-y
10.1007/s10107-005-0582-7
10.1016/0009-2509(88)85175-3
10.1016/j.ejor.2005.09.032
10.1007/s11590-013-0688-4
10.1007/BF00138689
10.1002/aic.11230
10.1016/j.ejor.2009.05.002
10.1007/s10107-010-0429-8
10.1016/S0167-6377(97)00013-8
10.1137/070692662
10.1016/j.compchemeng.2013.01.013
10.1023/A:1008382309369
10.1023/A:1011860702585
10.1016/j.cma.2007.12.009
10.1021/ie0496784
10.1016/S0098-1354(97)00226-3
10.1137/050623802
10.1016/0098-1354(90)85010-8
10.1021/ie060030w
10.1007/s10898-014-0224-9
10.1007/s10898-009-9484-1
10.1007/s10107-004-0550-7
10.1021/ie3033763
10.1080/00401706.1962.10490033
10.1137/S1052623497331373
10.1137/080717341
10.1137/1.9780898718768
10.1145/1916461.1916468
10.1007/s10898-014-0190-2
10.1137/070711451
10.1016/S0377-2217(97)00066-0
10.1016/S0098-1354(98)00286-5
10.1002/aic.12109
10.1016/j.dam.2007.08.044
10.1017/S0022112006003235
10.1023/A:1009795911987
10.1023/A:1011584207202
10.1007/s10898-004-5903-5
10.1137/090750639
10.1080/10556780902917701
10.1023/B:OPTE.0000033376.89159.65
10.2514/2.1999
10.1137/110823596
10.1016/0098-1354(90)80020-C
10.1145/1132973.1132980
10.1137/S1052623400378742
10.1007/s10898-006-9092-2
10.1186/1471-2105-10-386
10.1007/s10898-013-0125-3
10.1137/S003614450242889
10.1021/ie0613570
10.1007/s10107-006-0080-6
10.1021/ie0705094
10.1007/BF02592064
10.1002/aic.12010
10.1023/A:1021095211251
10.1021/ie8019592
10.1016/j.compchemeng.2011.04.015
10.1007/s10107-003-0437-z
10.1016/j.compchemeng.2013.05.024
10.1007/s10107-003-0467-6
10.1016/j.fluid.2009.03.009
10.1016/0098-1354(87)85014-7
10.1016/j.compchemeng.2003.11.003
10.1007/s12532-013-0060-9
10.1016/j.compchemeng.2009.10.005
10.1007/s10107-008-0235-8
10.1016/0098-1354(89)80008-0
10.1287/moor.1100.0473
10.1007/s10898-012-9848-9
10.1002/aic.12419
10.1016/j.desal.2014.03.030
10.1002/aic.14113
10.1021/ie100025e
10.1007/s10589-011-9405-3
10.1137/S1052623403429573
10.1287/ijoc.2.3.225
10.1016/j.resconrec.2006.06.013
10.1016/j.compchemeng.2005.11.005
10.1021/ie071316j
10.1007/s10898-008-9332-8
10.1080/10556780802699201
10.1007/s10898-011-9780-4
10.1021/ie950519h
10.1021/ie301572n
10.1007/s10898-011-9747-5
10.1007/s10898-007-9271-9
10.1016/j.jcta.2006.04.002
10.1137/060673424
10.1007/s10107-005-0580-9
10.1007/s10898-007-9133-5
10.1002/aic.14442
10.1007/s10589-009-9266-1
10.1023/B:JOGO.0000042112.72379.e6
10.1007/s10898-004-0570-0
10.1007/s10898-012-9892-5
10.1007/s10898-013-0061-2
10.1007/s10898-013-0121-7
10.1137/120895056
10.1080/10556788.2011.623162
10.1007/s10107-012-0608-x
10.1002/aic.11579
10.1002/aic.690460908
10.1016/j.compchemeng.2011.03.026
10.1016/S0006-3495(03)74905-4
10.1016/j.compchemeng.2010.02.014
10.1007/s10898-007-9223-4
10.1016/j.jclepro.2014.04.038
10.1007/s10098-008-0172-5
10.1007/s11081-007-9030-2
10.1007/s101079900106
10.1007/s10957-008-9402-6
10.1007/s10898-012-0022-1
10.1007/BF01097059
10.1007/s00454-008-9093-7
10.1115/1.4023119
10.3934/naco.2012.2.695
10.1023/A:1021043227181
10.1021/ie101368k
10.1016/j.compchemeng.2012.02.008
10.1007/s10898-006-9005-4
10.1007/s11590-009-0120-2
10.1007/s10107-011-0462-2
10.1016/j.compchemeng.2008.09.017
10.1016/j.ejor.2006.08.040
10.1371/journal.pone.0037493
10.1007/s10107-010-0355-9
10.1016/j.compchemeng.2011.01.035
10.1002/aic.12276
10.1016/j.compchemeng.2015.04.034
10.1016/j.jclepro.2014.01.023
10.1023/B:JOGO.0000044768.75992.10
10.1007/s10898-006-9040-1
10.1080/10556780902909948
10.1186/1471-2105-7-483
10.1016/S0098-1354(98)00059-3
10.1007/s10107-012-0581-4
10.1016/j.compchemeng.2012.06.038
10.1017/S0962492913000032
10.1023/B:COAP.0000004976.52180.7f
10.1023/A:1012771025575
10.1007/s10107-013-0635-2
10.1029/2005WR004134
10.1016/0098-1354(88)87003-0
10.1137/05064504X
10.1137/S1052623496300507
10.1016/j.compchemeng.2012.02.018
10.1002/aic.11425
10.1016/S0098-1354(96)00282-7
10.1016/j.sorms.2012.08.001
10.1137/130940037
10.1080/02331934.2011.619535
10.1021/ie00085a015
10.1007/s10107-012-0606-z
10.1016/j.dam.2007.09.020
10.1007/BF01580581
10.1021/i260070a031
10.1080/03052150211751
10.1016/S0098-1354(00)00579-2
10.1016/0009-2509(91)85063-4
10.1007/s10898-010-9525-9
10.1007/s10601-004-5307-7
10.1287/ijoc.1060.0182
10.1007/s10898-011-9664-7
10.1007/s12532-011-0032-x
10.1007/s10898-013-0070-1
10.1080/10556780902753221
10.3934/naco.2012.2.739
10.1002/aic.12623
10.1016/0098-1354(96)00031-2
10.1016/S0098-1354(01)00663-9
10.1287/ijoc.1100.0429
10.1016/j.compchemeng.2012.06.006
10.1016/S0098-1354(97)00000-8
ContentType Journal Article
Copyright 2015 Elsevier B.V.
Copyright Elsevier Sequoia S.A. Aug 1, 2016
Copyright_xml – notice: 2015 Elsevier B.V.
– notice: Copyright Elsevier Sequoia S.A. Aug 1, 2016
DBID AAYXX
CITATION
7SC
7TB
8FD
FR3
JQ2
L7M
L~C
L~D
7TA
JG9
DOI 10.1016/j.ejor.2015.12.018
DatabaseName CrossRef
Computer and Information Systems Abstracts
Mechanical & Transportation Engineering Abstracts
Technology Research Database
Engineering Research Database
ProQuest Computer Science Collection
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts – Academic
Computer and Information Systems Abstracts Professional
Materials Business File
Materials Research Database
DatabaseTitle CrossRef
Technology Research Database
Computer and Information Systems Abstracts – Academic
Mechanical & Transportation Engineering Abstracts
ProQuest Computer Science Collection
Computer and Information Systems Abstracts
Engineering Research Database
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts Professional
Materials Research Database
Materials Business File
DatabaseTitleList Technology Research Database
Materials Research Database
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
Computer Science
Business
EISSN 1872-6860
EndPage 727
ExternalDocumentID 4008931881
10_1016_j_ejor_2015_12_018
S037722171501142X
Genre Feature
GroupedDBID --K
--M
-~X
.DC
.~1
0R~
1B1
1RT
1~.
1~5
4.4
457
4G.
5GY
5VS
6OB
7-5
71M
8P~
9JN
9JO
AAAKF
AABNK
AACTN
AAEDT
AAEDW
AAIAV
AAIKJ
AAKOC
AALRI
AAOAW
AAQFI
AARIN
AAXUO
AAYFN
ABAOU
ABBOA
ABFNM
ABFRF
ABJNI
ABMAC
ABUCO
ABYKQ
ACAZW
ACDAQ
ACGFO
ACGFS
ACIWK
ACNCT
ACRLP
ACZNC
ADBBV
ADEZE
ADGUI
AEBSH
AEFWE
AEKER
AENEX
AFKWA
AFTJW
AGHFR
AGUBO
AGYEJ
AHHHB
AHZHX
AIALX
AIEXJ
AIGVJ
AIKHN
AITUG
AJBFU
AJOXV
ALMA_UNASSIGNED_HOLDINGS
AMFUW
AMRAJ
AOUOD
APLSM
ARUGR
AXJTR
BKOJK
BKOMP
BLXMC
CS3
DU5
EBS
EFJIC
EFLBG
EJD
EO8
EO9
EP2
EP3
F5P
FDB
FIRID
FNPLU
FYGXN
G-Q
GBLVA
GBOLZ
HAMUX
IHE
J1W
KOM
LY1
M41
MHUIS
MO0
MS~
N9A
O-L
O9-
OAUVE
OZT
P-8
P-9
P2P
PC.
PQQKQ
Q38
RIG
ROL
RPZ
RXW
SCC
SDF
SDG
SDP
SDS
SES
SPC
SPCBC
SSB
SSD
SSV
SSW
SSZ
T5K
TAE
TN5
U5U
XPP
ZMT
~02
~G-
1OL
29G
41~
9DU
AAAKG
AAQXK
AATTM
AAXKI
AAYWO
AAYXX
ABWVN
ABXDB
ACLOT
ACNNM
ACRPL
ACVFH
ADCNI
ADIYS
ADJOM
ADMUD
ADNMO
ADXHL
AEIPS
AEUPX
AFFNX
AFJKZ
AFPUW
AGQPQ
AI.
AIGII
AIIUN
AKBMS
AKRWK
AKYEP
ANKPU
APXCP
ASPBG
AVWKF
AZFZN
CITATION
EFKBS
FEDTE
FGOYB
HVGLF
HZ~
R2-
SEW
VH1
WUQ
~HD
7SC
7TB
8FD
AFXIZ
AGCQF
AGRNS
FR3
JQ2
L7M
L~C
L~D
SSH
7TA
JG9
ID FETCH-LOGICAL-c556t-f33ac666c39ea9c9ebd30fb362f12de5a8ac6fa8963a01f2545e25a0d47be7d83
ISICitedReferencesCount 172
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000373865500002&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 0377-2217
IngestDate Sun Sep 28 01:11:53 EDT 2025
Fri Jul 25 06:15:46 EDT 2025
Sat Nov 29 07:19:53 EST 2025
Tue Nov 18 21:23:31 EST 2025
Fri Feb 23 02:27:37 EST 2024
IsDoiOpenAccess false
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 3
Keywords MINLP
Grey-/Black-box
Constraints
Deterministic global optimization
Derivative-free
Language English
LinkModel OpenURL
MergedId FETCHMERGED-LOGICAL-c556t-f33ac666c39ea9c9ebd30fb362f12de5a8ac6fa8963a01f2545e25a0d47be7d83
Notes SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ObjectType-Article-1
ObjectType-Feature-2
content type line 23
OpenAccessLink http://hdl.handle.net/10044/1/28553
PQID 1777966315
PQPubID 45678
PageCount 27
ParticipantIDs proquest_miscellaneous_1816048170
proquest_journals_1777966315
crossref_citationtrail_10_1016_j_ejor_2015_12_018
crossref_primary_10_1016_j_ejor_2015_12_018
elsevier_sciencedirect_doi_10_1016_j_ejor_2015_12_018
PublicationCentury 2000
PublicationDate 2016-08-01
PublicationDateYYYYMMDD 2016-08-01
PublicationDate_xml – month: 08
  year: 2016
  text: 2016-08-01
  day: 01
PublicationDecade 2010
PublicationPlace Amsterdam
PublicationPlace_xml – name: Amsterdam
PublicationTitle European journal of operational research
PublicationYear 2016
Publisher Elsevier B.V
Elsevier Sequoia S.A
Publisher_xml – name: Elsevier B.V
– name: Elsevier Sequoia S.A
References Forrester, Jones (bib0189) 2008
Abramson, Audet, Dennis, Le Digabel (bib0008) 2009; 20
Hasan, Karimi, Avison (bib0241) 2011; 50
(bib0288) 2011; Vol. 356
Rikun (bib0430) 1997; 10
Nyberg, Grossmann, Westerlund (bib0392) 2013; 59
Regis, Shoemaker (bib0424) 2007; 182
Fowler, Reese, Kees, Dennis, Kelley (bib0193) 2008; 31
Lima, Francois, Srinivasan, Salcedo (bib0313) 2004; 43
Powell (bib0410) 1994; 275
Floudas, Grossmann (bib0179) 1987; 11
Benson (bib0069) 2004; 27
Vaz, Vicente (bib0491) 2009; 24
Neumaier (bib0385) 1990
Rodrigues-Fernandez, Egea, Banga (bib0434) 2006; 7
Gupte, Ahmed, Cheon, Dey (bib0228) 2013; 23
Yee, Grossmann (bib0511) 1990; 14
Lundell, Skjäl, Westerlund (bib0334) 2013; 57
Berthold (bib0071) 2013; 6
Berthold (bib0072) 2014
Papageorgiou, Toriello, Nemhauser, Savelsbergh (bib0399) 2012; 46
Sasena, Papalambros, Goovaerts (bib0448) 2002; 34
(bib0183) 2000
.
Guillén-Gosálbez, G. Pozo, C. (2010). Optimization of metabolic networks in biotechnology. Available from CyberInfrastructure for MINLP [A collaboration of CMU and IBM Research] at
Gau, Schrage (bib0202) 2003
Hooke, Jeeves (bib0253) 1961; 8
Aggarwal, Floudas (bib0017) 1990; 14
Anstreicher (bib0028) 2003; 97
Gatzke, Tolsma, Barton (bib0201) 2002; 3
Kleniati, Adjiman (bib0275) 2014; 60
Westerlund, Skrifvars, Harjunkoski, Pörn (bib0506) 1998; 22
Conejo, Karas, Pedroso, Ribeiro, Sachine (bib0126) 2013; 220
Rebennack, Kallrath, Pardalos (bib0419) 2009; 43
Hasan, Karimi (bib0240) 2010; 56
Audet, Béchard, Le Digabel (bib0033) 2008; 41
Floudas, Pardalos, Adjiman, Esposito, Gümüs, Harding, Schweiger (bib0185) 1999
Hemmecke, Köppe, Lee, Weismantel (bib0244) 2010
Parrilo (bib0403) 2003; 96
Tsoukalas, Mitsos (bib0487) 2014; 59
Floudas, Gounaris (bib0178) 2009; 45
Lewis, Shepherd, Torczon (bib0296) 2007; 29
Bragalli, D’Ambrosio, Lee, Lodi, Toth (bib0094) 2012; 13
Tawarmalani, Ahmed, Sahinidis (bib0478) 2002; 3
Audet, Guillou, Hansen, Messine, Perron (bib0042) 2011; 49
Gounaris, First, Floudas (bib0210) 2013; 139
(bib0182) 1996
Teles, Castro, Matos (bib0486) 2012; 40
Tardella (bib0475) 1988/89; 22
Tawarmalani, Richard, Xiong (bib0479) 2013; 138
Powell, M. J. D.(2013a). COBYLA (constrained optimization by linear approximations). Available at
Floudas, Aggarwal (bib0174) 1990; 2
Henrion, Lasserre (bib0246) 2003; 29
Boukouvala, Ierapetritou (bib0092) 2014; 60
Powell, M. J. D.(2013b). LINCOA (linearly constrained optimization algorithm). Available at
Audet, Ianni, Le Dibagel, Tribes (bib0047) 2014; 24
Liberti, Maculan (bib0309) 2006
Liuzzi, Lucidi (bib0319) 2009; 20
Bagajewicz (bib0049) 2000; 24
Smith, Pantelides (bib0469) 1997; 21, Supplement
Chang, Sahinidis (bib0121) 2005; 29
Davis, Ierapetritou (bib0142) 2007; 53
Meyer, Floudas (bib0355) 2003
Audet, Hansen, Messine, Xiong (bib0046) 2002; 98
Lin, Schrage (bib0316) 2009; 24
Müller, Shoemaker, Piche (bib0382) 2013; 40
Zhao, Meza, Hove (bib0519) 2006; 18
Domes (bib0151) 2009; 24
Flores-Tlacuahuac, A. Grossmann, I. E. (2009). Simultaneous cyclic scheduling and control of a multiproduct CSTR. Available from CyberInfrastructure for MINLP [A collaboration of CMU and IBM Research] at
Csendes, Pal, Sendin, Banga (bib0130) 2008; 2
Audet, Dennis (bib0037) 2004; 14
Belotti, Cafieri, Lee, Liberti (bib0062) 2010; 6508
Faria, Bagajewicz (bib0168) 2012; 58
Lin, Floudas, Kallrath (bib0315) 2005; 32
Grossmann, Guillén-Gosálbez (bib0224) 2010; 34
Kallrath, Rebennack (bib0267) 2014; 59
Duran, Grossmann (bib0158) 1986; 32
Maranas, Floudas (bib0340) 1992; 97
Bienstock, Michalka (bib0078) 2014; 24
McDonald, Floudas (bib0354) 1996; 21
Kleniati, Parpas, Rustem (bib0274) 2010; 145
Baliban, Elia, Floudas (bib0051) 2013; 59
Vandenbussche, Nemhauser (bib0489) 2005; 102
Floudas, Elia, Baliban (bib0177) 2012; 41
Conn, Scheinberg, Vicente (bib0128) 2009; 20
Hare, Nutini (bib0232) 2013; 56
Maranas, Androulakis, Floudas, Berger, Mulvey (bib0339) 1997; 21
Ong, Nair, Keane (bib0396) 2003; 41
Gratton, Toint, Tröltzsch (bib0217) 2011; 26
Regis, Shoemaker (bib0427) 2013; 56
Fahmi, Cremaschi (bib0167) 2012; 46
Belotti (bib0061) 2013; 56
Boukouvala, Ierapetritou (bib0091) 2013; 8
Li, Tomasgard, Barton (bib0304) 2012; 54
Biegler, Grossmann (bib0077) 2004; 28
Banga, Irizarry-Rivera, Seider (bib0056) 1998; 22
Burer, Vandenbussche (bib0101) 2008; 113
Ponce-Ortega, El-Halwagi, Jiménez-Gutiérrez (bib0409) 2010; 34
Bomze (bib0083) 2012; 216
Belotti, Miller, Namazifar (bib0067) 2010; 36
Tadayon, Smith (bib0474) 2013; 161
Polisetty, Gatzke, Voit (bib0408) 2008; 99
Pozo, Guillen-Gosalbez, Sorribas, Jimenez (bib0414) 2011; 50
Caprara, Locatelli (bib0113) 2010; 125
Li, Misener, Floudas (bib0301) 2012; 58
Lucidi, Sciandrone (bib0332) 2002; 21
Schittkowski (bib0453) 1987; 282
Le Thi, Vaz, Vicente (bib0292) 2012; 20
Das, Suganthan (bib0141) 2011; 15
Zondervan, E. Grossmann, I. E. (2009). A deterministic security constrained unit commitment model. Available from CyberInfrastructure for MINLP [A collaboration of CMU and IBM Research] at
Ryoo, Sahinidis (bib0442) 1995; 19
Berthold, Gleixner (bib0073) 2013; 144
Liuzzi, Lucidi, Sciandrone (bib0323) 2010; 20
Ruiz, Grossmann (bib0438) 2011; 5
Custódio, Madeira (bib0131) 2015; 62
Zabinsky (bib0517) 2003
Maranas, Floudas (bib0341) 1995; 7
Audet, Hansen, Messine (bib0044) 2007; 114
Sankaran, Audet, Marsden (bib0447) 2010; 229
Szabó, Markót, Csendes (bib0473) 2005
Locatelli (bib0326) 2015; 30
Rios, Sahinidis (bib0431) 2010; 177
Di Pillo, Lucidi, Rinaldi (bib0148) 2013
Gopalakrishnan, A. Biegler, L. (2011). MINLP and MPCC formulations for the cascading tanks problem. Available from CyberInfrastructure for MINLP [A collaboration of CMU and IBM Research] at
Martinez, Sobral (bib0349) 2013; 56
Bussieck, Vigerske (bib0103) 2010
Castro, Teles (bib0119) 2013; 52
Dahdah, Mitsos (bib0134) 2014; 344
Akrotirianakis, Meyer, Floudas (bib0022) 2004
Selot, Kuok, Robinson, Mason, Barton (bib0456) 2008; 54
Meyer, Floudas (bib0358) 2005; 32
Hemker, Werner (bib0243) 2011; 7
Scozzari, Tardella (bib0455) 2008; 156
Bergamini, Grossmann, Scenna, Aguirre (bib0070) 2008; 32
Pal, Csendes, Markot, Neumaier (bib0397) 2012; 20
Sherali, Tuncbilek (bib0465) 1997; 21
Liuzzi, Lucidi, Rinaldi (bib0322) 2015; 164
Maleki, Sawhney, Farvaresh, Sepehri (bib0338) 2014; 85
Oeuvray, Bierlaire (bib0394) 2007; 27
Quan, Yin, Ng, Lee (bib0416) 2013; 45
Chang, Sahinidis (bib0122) 2007; 38
Floudas (bib0172) 1995
Marsden, Feinstein, Taylor (bib0344) 2008; 197
Castro, Matos, Novais (bib0118) 2007; 50
Liberti, Cafieri, Savourey (bib0306) 2010
Domes, Neumaier (bib0154) 2014
Visweswaran, Floudas (bib0499) 1990; 14
Sherali, Adams (bib0461) 1999
Ben-Tal, Eiger, Gershovitz (bib0068) 1994; 63
Kokkolaras, Audet, Dennis (bib0281) 2001; 2
Kokossis, Floudas (bib0282) 1991; 46
Belotti, Lee, Liberti, Margot, Wächter (bib0066) 2009; 24
Khajavirad, Sahinidis (bib0271) 2013; 137
Regis (bib0421) 2014; 46
Pfetsch, Fügenschuh, Geissler, Geissler, Gollmer, Hiller, Willert (bib0405) 2015; 30
Huyer, Neumaier (bib0256) 2008; 35
Achterberg (bib0009) 2009; 1
Locatelli (bib0324) 2013; 41
Jansson, Wakeman, Manson (bib0259) 2007; 80
Bruno, Fernandez, Castells, Grossmann (bib0098) 1998; 76
Bompadre, Mitsos (bib0082) 2011; 52
Ruuth (bib0441) 2006; 75
Quesada, Grossmann (bib0417) 1995; 6
Parr, Keane, Forrester, Holden (bib0402) 2012; 44
Jones, Perttunen, Stuckman (bib0263) 1993; 79
Graciano, Roux (bib0215) 2013; 59
Garcia-Palomares, Gonzalez-Castano, Burguillo-Rial (bib0199) 2006; 34
Oeuvray (bib0393) 2005
Misener, Smadbeck, Floudas (bib0370) 2014; 30
Pardalos (bib0400) 1991; 21
Floudas, Akrotirianakis, Caratzoulas, Meyer, Kallrath (bib0175) 2005; 29
Domschke, Geissler, Kolb, Lang, Martin, Morsi (bib0155) 2011; 23
Henao, Maravelias (bib0245) 2011; 57
Zhao, Karisch, Rendl, Wolkowicz (bib0518) 1998; 2
Loiola, de Abreu, Boaventura-Netto, Hahn, Querido (bib0329) 2007; 176
Maranas, Floudas (bib0342) 1997; 21
Meyer, Floudas (bib0359) 2006; 52
Abramson, Audet, Dennis (bib0007) 2001; 11
Audet, Dennis (bib0038) 2006; 17
D’Ambrosio, C., Bragalli, C., Lee, J., Lodi, A. Toth, P.(2011a). Optimal design of water distribution networks. Available from CyberInfrastructure for MINLP [A collaboration of CMU and IBM Research] at
Moré, Wild (bib0375) 2002; 91
Eldred, M. S., Adams, B. M., Gay, D. M., Swiller, L. P., Haskell, K., Bohnhoff, W. J., Eddy, J. P., Hart, W. E., Watson, J. P., Hough, P. D. Kolda, T. G. (2008). DAKOTA, a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification and sensitivity analysis. Available at
Conn, Le Digabel (bib0127) 2013; 28
Floudas, Anastasiadis (bib0176) 1988; 43
Saxena, Bonami, Lee (bib0452) 2011; 130
Ding, Ge, Wolkowicz (bib0149) 2011; 36
Laguna, Gortźar, Gallego, Duarte, Martí (bib0289) 2014; 58
Garcia-Palomares, Garcia-Urrea, Rodriguez-Hernandez (bib0198) 2013; 28
Misener, Floudas (bib0361) 2009; 8
Davis, Ierapetritou (bib0143) 2008; 47
Gilmore, Kelley (bib0206) 1995; 5
Le Digabel (bib0291) 2011; 37
Androulakis, Maranas, Floudas (bib0026) 1995; 7
Bao, Sahinidis, Tawarmalani (bib0058) 2011; 129
Henrion, Lasserre, Löfberg (bib0247) 2009; 24
Hladík (bib0249) 2014
Nowak (bib0390) 2005
Audet, Brimberg, Hansen, Le Digabel, Mladenovic (bib0034) 2004; 50
Ruiz, Grossmann (bib0439) 2011; 35
Shikhman, Stein (bib0466) 2012; 61
Tawarmalani, Sahinidis (bib0481) 2002; 93
Espinet, Shoemaker, Doughty (bib0166) 2013; 49
Fourer, Gay, Kernighan (bib0192) 2002
Marsden, Wang, Dennis, Parviz (bib0345) 2004; 5
Sherali, Dalkiran, Liberti (bib0459) 2012; 52
Abramson, Audet, Chrissis, Walston (bib0005) 2009; 3
Chang, Y. J. Sahinidis, N. V. (2009). Stabilizing controller design and the Belgian chocolate problem. Available from CyberInfrastructure for MINLP [A collaboration of CMU and IBM Research] at
Locatelli (bib0325) 2014; 59
Misener, Floudas (bib0363) 2012; 11
Baliban, Elia, Misener, Floudas (bib0052) 2012; 42
Alfaki, Haugland (bib0024) 2013; 56
Brönnimann, Melquiond, Pion (bib0097) 2006; 351
Hasan, First, Floudas (bib0239) 2013; 15
Gounaris, Floudas (bib0211) 2008; 138
Liberti, Mladenović, Nannicini (bib0310) 2011; 3
Brekelmans, Driessen, Hamers, den Hertog (bib0095) 2005; 160
Floudas, Visweswaran (bib0187) 1990; 14
(bib0180) 1992
Vigerske (bib0495) 2012
Akrotirian
10.1016/j.ejor.2015.12.018_bib0171
Ruiz (10.1016/j.ejor.2015.12.018_bib0439) 2011; 35
Li (10.1016/j.ejor.2015.12.018_bib0302) 2012; 58
Klepeis (10.1016/j.ejor.2015.12.018_bib0277) 2004; 43
Szabó (10.1016/j.ejor.2015.12.018_bib0473) 2005
Laguna (10.1016/j.ejor.2015.12.018_bib0289) 2014; 58
Misener (10.1016/j.ejor.2015.12.018_bib0367) 2014; 161
McDonald (10.1016/j.ejor.2015.12.018_bib0353) 1995; 41
Misener (10.1016/j.ejor.2015.12.018_bib0362) 2010; 49
D’Ambrosio (10.1016/j.ejor.2015.12.018_bib0140) 2013; 204
Savola (10.1016/j.ejor.2015.12.018_bib0449) 2007; 27
Liberti (10.1016/j.ejor.2015.12.018_bib0309) 2006
Kolda (10.1016/j.ejor.2015.12.018_bib0285) 2006; 17
Bergamini (10.1016/j.ejor.2015.12.018_bib0070) 2008; 32
Fügenschuh (10.1016/j.ejor.2015.12.018_bib0195) 2010
Han (10.1016/j.ejor.2015.12.018_bib0231) 2008; 5
10.1016/j.ejor.2015.12.018_bib0163
Martelli (10.1016/j.ejor.2015.12.018_bib0348) 2011; 35
Alfaki (10.1016/j.ejor.2015.12.018_bib0024) 2013; 56
Castillo (10.1016/j.ejor.2015.12.018_bib0114) 2005; 30
10.1016/j.ejor.2015.12.018_bib0165
Henao (10.1016/j.ejor.2015.12.018_bib0245) 2011; 57
Visweswaran (10.1016/j.ejor.2015.12.018_bib0499) 1990; 14
Lin (10.1016/j.ejor.2015.12.018_bib0315) 2005; 32
Ruiz (10.1016/j.ejor.2015.12.018_bib0438) 2011; 5
You (10.1016/j.ejor.2015.12.018_bib0515) 2010; 56
Sherali (10.1016/j.ejor.2015.12.018_bib0464) 1995; 7
Leyffer (10.1016/j.ejor.2015.12.018_bib0299) 2009; 180
Domschke (10.1016/j.ejor.2015.12.018_bib0155) 2011; 23
Maranas (10.1016/j.ejor.2015.12.018_bib0340) 1992; 97
10.1016/j.ejor.2015.12.018_bib0391
Akrotirianakis (10.1016/j.ejor.2015.12.018_bib0022) 2004
Lovász (10.1016/j.ejor.2015.12.018_bib0330) 1982
Pfetsch (10.1016/j.ejor.2015.12.018_bib0405) 2015; 30
Martinez (10.1016/j.ejor.2015.12.018_bib0349) 2013; 56
Regis (10.1016/j.ejor.2015.12.018_bib0427) 2013; 56
Biegler (10.1016/j.ejor.2015.12.018_bib0077) 2004; 28
Anstreicher (10.1016/j.ejor.2015.12.018_bib0030) 2010; 124
Mouret (10.1016/j.ejor.2015.12.018_bib0379) 2011; 35
Bao (10.1016/j.ejor.2015.12.018_bib0057) 2009; 24
Kolodziej (10.1016/j.ejor.2015.12.018_bib0287) 2013; 53
Tardella (10.1016/j.ejor.2015.12.018_bib0476) 2003
Kolda (10.1016/j.ejor.2015.12.018_bib0284) 2003; 45
Qualizza (10.1016/j.ejor.2015.12.018_bib0415) 2012; 154
Quesada (10.1016/j.ejor.2015.12.018_bib0417) 1995; 6
Cafieri (10.1016/j.ejor.2015.12.018_bib0111) 2010; 47
Regis (10.1016/j.ejor.2015.12.018_bib0420) 2011; 38
Lin (10.1016/j.ejor.2015.12.018_bib0316) 2009; 24
Wolfe (10.1016/j.ejor.2015.12.018_bib0509) 2000; 124
Le Digabel (10.1016/j.ejor.2015.12.018_bib0291) 2011; 37
Liberti (10.1016/j.ejor.2015.12.018_bib0307) 2009; 203
Ruiz (10.1016/j.ejor.2015.12.018_bib0440) 2013; 56
10.1016/j.ejor.2015.12.018_bib0262
Niknam (10.1016/j.ejor.2015.12.018_bib0388) 2009; 86
Nelder (10.1016/j.ejor.2015.12.018_bib0384) 1965; 7
Liberti (10.1016/j.ejor.2015.12.018_bib0312) 2006; 36
Shah (10.1016/j.ejor.2015.12.018_bib0458) 2012; 7
Belotti (10.1016/j.ejor.2015.12.018_bib0066) 2009; 24
Bienstock (10.1016/j.ejor.2015.12.018_bib0078) 2014; 24
Misener (10.1016/j.ejor.2015.12.018_bib0363) 2012; 11
Deng (10.1016/j.ejor.2015.12.018_bib0147) 2013; 22
Bomze (10.1016/j.ejor.2015.12.018_bib0084) 1999
Kleijnen (10.1016/j.ejor.2015.12.018_bib0273) 2010; 202
Khor (10.1016/j.ejor.2015.12.018_bib0272) 2014; 77
Berthold (10.1016/j.ejor.2015.12.018_bib0075) 2012; 2
Audet (10.1016/j.ejor.2015.12.018_bib0036) 2002; 13
Vaz (10.1016/j.ejor.2015.12.018_bib0490) 2007; 39
Conn (10.1016/j.ejor.2015.12.018_bib0129) 2009
Oeuvray (10.1016/j.ejor.2015.12.018_bib0393) 2005
Gupte (10.1016/j.ejor.2015.12.018_bib0228) 2013; 23
Berthold (10.1016/j.ejor.2015.12.018_bib0073) 2013; 144
Viana (10.1016/j.ejor.2015.12.018_bib0492) 2013; 56
Maleki (10.1016/j.ejor.2015.12.018_bib0338) 2014; 85
Al-Khayyal (10.1016/j.ejor.2015.12.018_bib0023) 1983; 8
Forrester (10.1016/j.ejor.2015.12.018_bib0189) 2008
Horst (10.1016/j.ejor.2015.12.018_bib0254) 1996
Maranas (10.1016/j.ejor.2015.12.018_bib0342) 1997; 21
Floudas (10.1016/j.ejor.2015.12.018_bib0185) 1999
Baliban (10.1016/j.ejor.2015.12.018_bib0052) 2012; 42
Villemonteix (10.1016/j.ejor.2015.12.018_bib0497) 2009; 44
Floudas (10.1016/j.ejor.2015.12.018_bib0173) 2000
Holmström (10.1016/j.ejor.2015.12.018_bib0252) 2008; 9
Hooke (10.1016/j.ejor.2015.12.018_bib0253) 1961; 8
Maranas (10.1016/j.ejor.2015.12.018_bib0339) 1997; 21
Onel (10.1016/j.ejor.2015.12.018_bib0395) 2014; 71
Chang (10.1016/j.ejor.2015.12.018_bib0121) 2005; 29
Kelley (10.1016/j.ejor.2015.12.018_bib0269) 2011
Bonami (10.1016/j.ejor.2015.12.018_bib0085) 2008; 5
Rosen (10.1016/j.ejor.2015.12.018_bib0436) 1986; 34
Egea (10.1016/j.ejor.2015.12.018_bib0161) 2007; 37
Gentilini (10.1016/j.ejor.2015.12.018_bib0204) 2013; 28
Misener (10.1016/j.ejor.2015.12.018_bib0371) 2011; 35
Sherali (10.1016/j.ejor.2015.12.018_bib0461) 1999
Dalkiran (10.1016/j.ejor.2015.12.018_bib0135) 2013; 57
Misener (10.1016/j.ejor.2015.12.018_bib0364) 2012; 136
D’Ambrosio (10.1016/j.ejor.2015.12.018_bib0137) 2010; 38
Hager (10.1016/j.ejor.2015.12.018_bib0230) 2009; 20
Li (10.1016/j.ejor.2015.12.018_bib0304) 2012; 54
Bruno (10.1016/j.ejor.2015.12.018_bib0098) 1998; 76
Luedtke (10.1016/j.ejor.2015.12.018_bib0333) 2012; 136
Parpas (10.1016/j.ejor.2015.12.018_bib0401) 2006; 3982
Niziolek (10.1016/j.ejor.2015.12.018_bib0389) 2014; 53
Tawarmalani (10.1016/j.ejor.2015.12.018_bib0479) 2013; 138
Anstreicher (10.1016/j.ejor.2015.12.018_bib0029) 2009; 43
Belotti (10.1016/j.ejor.2015.12.018_bib0065) 2013; 22
Abramson (10.1016/j.ejor.2015.12.018_bib0002) 2008; 1
Achterberg (10.1016/j.ejor.2015.12.018_bib0010) 2008
Fasano (10.1016/j.ejor.2015.12.018_bib0169) 2014; 24
Locatelli (10.1016/j.ejor.2015.12.018_bib0325) 2014; 59
10.1016/j.ejor.2015.12.018_bib0063
Egea (10.1016/j.ejor.2015.12.018_bib0160) 2010; 37
Griffin (10.1016/j.ejor.2015.12.018_bib0220) 2010; 25
Marsden (10.1016/j.ejor.2015.12.018_bib0344) 2008; 197
Regis (10.1016/j.ejor.2015.12.018_bib0421) 2014; 46
Papadopoulos (10.1016/j.ejor.2015.12.018_bib0398) 2004; 28
Rios (10.1016/j.ejor.2015.12.018_bib0432) 2013; 56
Rodrigues-Fernandez (10.1016/j.ejor.2015.12.018_bib0433) 2006; 83
Floudas (10.1016/j.ejor.2015.12.018_bib0177) 2012; 41
Tawarmalani (10.1016/j.ejor.2015.12.018_bib0483) 2004; 99
Jakobsson (10.1016/j.ejor.2015.12.018_bib0258) 2010; 11
Morin (10.1016/j.ejor.2015.12.018_bib0376) 2011; 89
Wang (10.1016/j.ejor.2015.12.018_bib0502) 2013; 52
Misener (10.1016/j.ejor.2015.12.018_bib0369) 2010; 34
Floudas (10.1016/j.ejor.2015.12.018_bib0178) 2009; 45
Achterberg (10.1016/j.ejor.2015.12.018_bib0009) 2009; 1
Akrotirianakis (10.1016/j.ejor.2015.12.018_bib0020) 2004; 29
Akrotirianakis (10.1016/j.ejor.2015.12.018_bib0021) 2004; 30
Anjos (10.1016/j.ejor.2015.12.018_bib0027) 2012; 166
Kleniati (10.1016/j.ejor.2015.12.018_bib0274) 2010; 145
Audet (10.1016/j.ejor.2015.12.018_bib0033) 2008; 41
Audet (10.1016/j.ejor.2015.12.018_bib0047) 2014; 24
Gratton (10.1016/j.ejor.2015.12.018_bib0217) 2011; 26
Gassner (10.1016/j.ejor.2015.12.018_bib0200) 2009; 33
Liberti (10.1016/j.ejor.2015.12.018_bib0305) 2012; 131
Mouret (10.1016/j.ejor.2015.12.018_bib0378) 2009; 48
Müller (10.1016/j.ejor.2015.12.018_bib0381) 2014; 60
Wicaksono (10.1016/j.ejor.2015.12.018_bib0507) 2008; 54
Kleniati (10.1016/j.ejor.2015.12.018_bib0276) 2014; 60
Lucidi (10.1016/j.ejor.2015.12.018_bib0331) 2005; 15
Caballero (10.1016/j.ejor.2015.12.018_bib0105) 2004; 28
Bonilla-Petriciolet (10.1016/j.ejor.2015.12.018_bib0088) 2010; 287
Guillén-Gosálbez (10.1016/j.ejor.2015.12.018_bib0227) 2009; 10
You (10.1016/j.ejor.2015.12.018_bib0512) 2008; 47
Gleixner (10.1016/j.ejor.2015.12.018_bib0207) 2012; 2
Sherali (10.1016/j.ejor.2015.12.018_bib0462) 1992; 2
Ong (10.1016/j.ejor.2015.12.018_bib0396) 2003; 41
Graciano (10.1016/j.ejor.2015.12.018_bib0215) 2013; 59
Dahdah (10.1016/j.ejor.2015.12.018_bib0133) 2014; 344
Richard (10.1016/j.ejor.2015.12.018_bib0429) 2010; 121
di Serafino (10.1016/j.ejor.2015.12.018_bib0457) 2010; 48
Domes (10.1016/j.ejor.2015.12.018_bib0152) 2010; 15
Bley (10.1016/j.ejor.2015.12.018_bib0080) 2012
Martelli (10.1016/j.ejor.2015.12.018_bib0347) 2014; 63
Baliban (10.1016/j.ejor.2015.12.018_bib0051) 2013; 59
Guzman (10.1016/j.ejor.2015.12.018_bib0229) 2014
Floudas (10.1016/j.ejor.2015.12.018_bib0186) 1988; 12
Marsden (10.1016/j.ejor.2015.12.018_bib0346) 2007; 572
De Servi (10.1016/j.ejor.2015.12.018_bib0146) 2013; 135
Ponce-Ortega (10.1016/j.ejor.2015.12.018_bib0409) 2010; 34
Hare (10.1016/j.ejor.2015.12.018_bib0232) 2013; 56
Bao (10.1016/j.ejor.2015.12.018_bib0058) 2011; 129
Burer (10.1016/j.ejor.2015.12.018_bib0099) 2012; 17
Loiola (10.1016/j.ejor.2015.12.018_bib0329) 2007; 176
Smith (10.1016/j.ejor.2015.12.018_bib0469) 1997; 21, Supplement
Aggarwal (10.1016/j.ejor.2015.12.018_bib0017) 1990; 14
Castro (10.1016/j.ejor.2015.12.018_bib0116) 2007; 46
Boland (10.1016/j.ejor.2015.12.018_bib0081) 2012; 22
Regis (10.1016/j.ejor.2015.12.018_bib0423) 2007; 37
Conejo (10.1016/j.ejor.2015.12.018_bib0126) 2013; 220
Müller (10.1016/j.ejor.2015.12.018_bib0382) 2013; 40
Wechsung (10.1016/j.ejor.2015.12.018_bib0504) 2014; 58
Berthold (10.1016/j.ejor.2015.12.018_bib0071) 2013; 6
Oeuvray (10.1016/j.ejor.2015.12.018_bib0394) 2007; 27
Arouxét (10.1016/j.ejor.2015.12.018_bib0031) 2015; 290
(10.1016/j.ejor.2015.12.018_bib0182) 1996
Karuppiah (10.1016/j.ejor.2015.12.018_bib0268) 2006; 30
Pereira (10.1016/j.ejor.2015.12.018_bib0404) 2010; 299
Regis (10.1016/j.ejor.2015.12.018_bib0425) 2007; 19
Papageorgiou (10.1016/j.ejor.2015.12.018_bib0399) 2012; 46
Gounaris (10.1016/j.ejor.2015.12.018_bib0212) 2008; 42
Liberti (10.1016/j.ejor.2015.12.018_bib0308) 2009; 157
Meyer (10.1016/j.ejor.2015.12.018_bib0357) 2005; 103
Conn (10.1016/j.ejor.2015.12.018_bib0128) 2009; 20
Locatelli (10.1016/j.ejor.2015.12.018_bib0327) 2013; 15
Locatelli (10.1016/j.ejor.2015.12.018_bib0328) 2014; 144
Ciric (10.1016/j.ejor.2015.12.018_bib0124) 1989; 13
Floudas (10.1016/j.ejor.2015.12.018_bib0176) 1988; 43
Ding (10.1016/j.ejor.2015.12.018_bib0149) 2011; 36
Hayes (10.1016/j.ejor.2015.12.018_bib0242) 2003; 81
Li (10.1016/j.ejor.2015.12.018_bib0300) 2007; 53
Harjunkoski (10.1016/j.ejor.2015.12.018_bib0233) 2014; 62
Kolodziej (10.1016/j.ejor.2015.12.018_bib0286) 2013; 57
Go
References_xml – volume: 56
  start-page: 1247
  year: 2013
  end-page: 1293
  ident: bib0432
  article-title: Derivative-free optimization: a review of algorithms and comparison of software implementations
  publication-title: Journal of Global Optimization
– volume: 93
  start-page: 247
  year: 2002
  end-page: 263
  ident: bib0481
  article-title: Convex extensions and envelopes of lower semi-continuous functions
  publication-title: Mathematical Programming
– volume: 56
  start-page: 917
  year: 2013
  end-page: 937
  ident: bib0024
  article-title: A multi-commodity flow formulation for the generalized pooling problem
  publication-title: Journal of Global Optimization
– volume: 5
  start-page: 253
  year: 1994
  end-page: 265
  ident: bib0157
  article-title: The cluster problem in multivariate global optimization
  publication-title: Journal of Global Optimization
– volume: 13
  start-page: 219
  year: 2012
  end-page: 246
  ident: bib0094
  article-title: On the optimal design of water distribution networks: A practical MINLP approach
  publication-title: Optimization and Engineering
– volume: 77
  start-page: 79
  year: 2014
  end-page: 93
  ident: bib0272
  article-title: Fixed-flowrate total water network synthesis under uncertainty with risk management
  publication-title: Journal of Cleaner Production
– year: 2013
  ident: bib0148
  article-title: A derivative-free algorithm for constrained global optimization based on exact penalty functions
  publication-title: Journal of Optimization Theory and Applications
– volume: 59
  start-page: 405
  year: 2014
  end-page: 437
  ident: bib0267
  article-title: Cutting ellipses from area-minimizing rectangles
  publication-title: Journal of Global Optimization
– year: 2008
  ident: bib0010
  article-title: Constraint integer programming: a new approach to integrate CP and MIP
  publication-title: Integration of AI and or techniques in constraint programming for combinatorial optimization problems
– volume: 58
  start-page: 497
  year: 2014
  end-page: 516
  ident: bib0289
  article-title: A black-box scatter search for optimization problems with integer variables
  publication-title: Journal of Global Optimization
– volume: 52
  start-page: 249
  year: 2013
  end-page: 261
  ident: bib0119
  article-title: Comparison of global optimization algorithms for the design of water-using networks
  publication-title: Computers & Chemical Engineering
– volume: 25
  start-page: 157
  year: 2003
  end-page: 168
  ident: bib0311
  article-title: Convex envelopes of monomials of odd degree
  publication-title: Journal of Global Optimization
– volume: 2
  start-page: 695
  year: 2012
  end-page: 711
  ident: bib0207
  article-title: Towards globally optimal operation of water supply networks
  publication-title: Numerical Algebra, Control and Optimization
– volume: 24
  start-page: 669
  year: 2009
  end-page: 685
  ident: bib0491
  article-title: Pswarm: a hybrid solver for linearly constrained global derivative-free optimization
  publication-title: Optimization Methods and Software
– volume: 22
  start-page: 831
  year: 2012
  end-page: 861
  ident: bib0081
  article-title: A new approach to the feasibility pump in mixed integer programming
  publication-title: The SIAM Journal on Optimization
– reference: D’Ambrosio, C., Bragalli, C., Lee, J., Lodi, A. Toth, P.(2011a). Optimal design of water distribution networks. Available from CyberInfrastructure for MINLP [A collaboration of CMU and IBM Research] at:
– volume: 60
  start-page: 1767
  year: 2014
  end-page: 1785
  ident: bib0170
  article-title: Discovery of novel zeolites for natural gas purification through combined material screening and process optimization
  publication-title: AIChE Journal
– volume: 30
  start-page: 650
  year: 2006
  end-page: 673
  ident: bib0268
  article-title: Global optimization for the synthesis of integrated water systems in chemical processes
  publication-title: Computers & Chemical Engineering
– volume: 13
  start-page: 2467
  year: 2003
  end-page: 2474
  ident: bib0374
  article-title: Parameter estimation in biochemical pathways: A comparison of global optimization methods
  publication-title: Genome Research
– volume: 60
  start-page: 2462
  year: 2014
  end-page: 2474
  ident: bib0092
  article-title: Derivative-free optimization for expensive constrained problems using a novel expected improvement objective function
  publication-title: AIChE Journal
– volume: 56
  start-page: 1880
  year: 2010
  end-page: 1893
  ident: bib0240
  article-title: Piecewise linear relaxation of bilinear programs using bivariate partitioning
  publication-title: AIChE Journal
– reference: Chang, Y. J. Sahinidis, N. V. (2009). Stabilizing controller design and the Belgian chocolate problem. Available from CyberInfrastructure for MINLP [A collaboration of CMU and IBM Research] at:
– volume: 10
  start-page: 386
  year: 2009
  ident: bib0227
  article-title: Identifying quantitative operation principles in metabolic pathways: a systematic method for searching feasible enzyme activity patterns leading to cellular adaptive responses
  publication-title: BMC Bioinformatics
– volume: 26
  start-page: 873
  year: 2011
  end-page: 894
  ident: bib0217
  article-title: An active-set trust-region method for derivative-free nonlinear bound-constrained optimization
  publication-title: Optimization Methods and Software
– volume: 15
  start-page: 17601
  year: 2013
  end-page: 17618
  ident: bib0239
  article-title: Cost-effective CO2 capture based on in silico screening of zeolites and process optimization
  publication-title: Physical Chemistry Chemical Physics
– volume: 17
  start-page: 218
  year: 2006
  end-page: 242
  ident: bib0500
  article-title: Sums of squares and semidefinite program relaxations for polynomial optimization problems with structured sparsity
  publication-title: SIAM Journal on Optimization
– year: 2010
  ident: bib0195
  article-title: Mixed-integer nonlinear problems in transportation applications
  publication-title: Proceedings of the 2nd international conference on engineering optimization
– volume: 61
  start-page: 717
  year: 2012
  end-page: 731
  ident: bib0466
  article-title: On jet-convex functions and their tensor products
  publication-title: Optimization
– volume: 34
  start-page: 263
  year: 2002
  end-page: 278
  ident: bib0448
  article-title: Exploration of metamodeling sampling criteria for constrained global optimization
  publication-title: Engineering Optimization
– volume: 35
  start-page: 2799
  year: 2011
  end-page: 2823
  ident: bib0348
  article-title: Numerical optimization of heat recovery steam cycles: Mathematical model, two-stage algorithm and applications
  publication-title: Computers & Chemical Engineering
– volume: 97
  start-page: 27
  year: 2003
  end-page: 42
  ident: bib0028
  article-title: Recent advances in the solution of quadratic assignment problems
  publication-title: Mathematical Programming
– volume: 45
  start-page: 763
  year: 2013
  end-page: 780
  ident: bib0416
  article-title: Simulation optimization via kriging: a sequential search using expected improvement with computing budget constraints
  publication-title: IIE Transactions
– volume: 7
  start-page: 483
  year: 2006
  ident: bib0434
  article-title: Novel metaheuristic for parameter estimation in nonlinear dynamic biological systems
  publication-title: BMC Bioinformatics
– volume: 204
  start-page: 301
  year: 2013
  end-page: 320
  ident: bib0140
  article-title: Mixed integer nonlinear programming tools: an updated practical overview
  publication-title: Annals of Operations Research
– volume: 2
  start-page: 379
  year: 1992
  end-page: 410
  ident: bib0462
  article-title: A new reformulation-linearization technique for bilinear programming problems
  publication-title: Journal of Global Optimization
– volume: 56
  start-page: 787
  year: 2013
  end-page: 819
  ident: bib0061
  article-title: Bound reduction using pairs of linear inequalities
  publication-title: Journal of Global Optimization
– reference: Eldred, M. S., Adams, B. M., Gay, D. M., Swiller, L. P., Haskell, K., Bohnhoff, W. J., Eddy, J. P., Hart, W. E., Watson, J. P., Hough, P. D. Kolda, T. G. (2008). DAKOTA, a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification and sensitivity analysis. Available at:
– volume: 7
  start-page: 337
  year: 1995
  end-page: 363
  ident: bib0026
  article-title: BB: A global optimization method for general constrained nonconvex problems
  publication-title: Journal of Global Optimization
– volume: 28
  start-page: 2391
  year: 2004
  end-page: 2406
  ident: bib0398
  article-title: On the synthesis and optimization of liquid-liquid extraction processes using stochastic search methods
  publication-title: Computers & Chemical Engineering
– volume: 3
  start-page: 305
  year: 2002
  end-page: 326
  ident: bib0201
  article-title: Construction of convex relaxations using automated code generation techniques
  publication-title: Optimization and Engineering
– volume: 45
  start-page: 529
  year: 2013
  end-page: 555
  ident: bib0426
  article-title: Combining radial basis function surrogates and dynamic coordinate search in high-dimensional expensive black-box optimization
  publication-title: Engineering Optimization
– year: 1996
  ident: bib0254
  publication-title: Global optimization: Deterministic approaches
– volume: 137
  start-page: 371
  year: 2013
  end-page: 408
  ident: bib0271
  article-title: Convex envelopes generated from finitely many compact convex sets
  publication-title: Mathematical Programming
– volume: 13
  start-page: 889
  year: 2002
  end-page: 903
  ident: bib0036
  article-title: Analysis of generalized pattern searches
  publication-title: The SIAM Journal on Optimization
– volume: 9
  start-page: 311
  year: 2008
  end-page: 339
  ident: bib0252
  article-title: An adaptive radial basis algorithm (ARBF) for expensive black-box mixed-integer constrained global optimization
  publication-title: Optimization and Engineering
– volume: 29
  start-page: 406
  year: 2014
  end-page: 429
  ident: bib0510
  article-title: A surrogate-based optimization method with RBF neural network enhanced by linear interpolation and hybrid infill strategy
  publication-title: Optimization Methods and Software
– volume: 32
  start-page: 477
  year: 2008
  end-page: 493
  ident: bib0070
  article-title: An improved piecewise outer-approximation algorithm for the global optimization of MINLP models involving concave and bilinear terms
  publication-title: Computers & Chemical Engineering
– volume: 51
  start-page: 569
  year: 2011
  end-page: 606
  ident: bib0454
  article-title: Generalized McCormick relaxations
  publication-title: Journal of Global Optimization
– volume: 52
  start-page: 447
  year: 2012
  end-page: 469
  ident: bib0459
  article-title: Reduced RLT representations for nonconvex polynomial programming problems
  publication-title: Journal of Global Optimization
– volume: 24
  start-page: 597
  year: 2009
  end-page: 634
  ident: bib0066
  article-title: Branching and bounds tightening techniques for non-convex MINLP
  publication-title: Optimization Methods and Software
– volume: 52
  start-page: 391
  year: 2012
  end-page: 409
  ident: bib0270
  article-title: Convex envelopes of products of convex and component-wise concave functions
  publication-title: Journal of Global Optimization
– volume: 14
  start-page: 1165
  year: 1990
  end-page: 1184
  ident: bib0511
  article-title: Simultaneous optimization models for heat integrationII. Heat exchanger network synthesis
  publication-title: Computers & Chemical Engineering
– volume: 20
  start-page: 609
  year: 2012
  end-page: 639
  ident: bib0397
  article-title: Black box optimization benchmarking of the GLOBAL method
  publication-title: Evolutionary Computation
– volume: 33
  start-page: 42
  year: 2005
  end-page: 54
  ident: bib0011
  article-title: Branching rules revisited
  publication-title: Operations Research Letters
– year: 2005
  ident: bib0393
  publication-title: Trust-region methods based on radial basis functions with application to biomedical imaging
– volume: 24
  start-page: 621
  year: 2014
  end-page: 642
  ident: bib0047
  article-title: Reducing the number of function evaluations in mesh adaptive direct search algorithms
  publication-title: The SIAM Journal on Optimization
– year: 2000
  ident: bib0173
  publication-title: Deterministic global optimization : Theory, methods and applications
– volume: 154
  start-page: 349
  year: 2012
  end-page: 369
  ident: bib0337
  article-title: Global optimization of mixed-integer signomial programming problems
  publication-title: Mixed integer nonlinear programming
– volume: 29
  start-page: 1185
  year: 2005
  end-page: 1202
  ident: bib0175
  article-title: Global optimization in the 21st century: Advances and challenges.
  publication-title: Computers & Chemical Engineering
– volume: 45
  start-page: 8454
  year: 2006
  end-page: 8474
  ident: bib0106
  article-title: Structural considerations and modeling in the synthesis of heat integrated thermally coupled distillation sequences
  publication-title: Industrial & Engineering Chemistry Research
– reference: Holmström, K., Göran, A. O. Edvall, M. M.(2008a). Users guide for TOMLAB CGO. Available at:
– volume: 21
  start-page: 1405
  year: 1997
  end-page: 1425
  ident: bib0339
  article-title: Solving long-term financial planning problems via global optimization
  publication-title: Journal of Economic Dynamics and Control
– volume: 46
  start-page: 93
  year: 2012
  end-page: 109
  ident: bib0343
  article-title: Constrained multifidelity optimization using model calibration
  publication-title: Structural and Multidisciplinary Optimization
– volume: 3982
  start-page: 908
  year: 2006
  end-page: 917
  ident: bib0401
  article-title: Global optimization of the scenario generation and portfolio selection problems
  publication-title: Computational science and its applications - ICCSA 2006
– volume: 43
  start-page: 373
  year: 2009
  end-page: 389
  ident: bib0496
  article-title: Global optimization of expensive-to-evaluate functions: an empirical comparison of two sampling criteria
  publication-title: Journal of Global Optimization
– volume: 24
  start-page: 2093
  year: 2000
  end-page: 2113
  ident: bib0049
  article-title: A review of recent design procedures for water networks in refineries and process plants
  publication-title: Computers & Chemical Engineering
– volume: 35
  year: 2008
  ident: bib0256
  article-title: SNOBFIT - stable noisy optimization by branch and fit
  publication-title: ACM Transactions on Mathematical Software
– volume: 12
  start-page: 531
  year: 1988
  end-page: 546
  ident: bib0186
  article-title: A mixed-integer nonlinear programming formulation for the synthesis of heat-integrated distillation sequences
  publication-title: Computers & Chemical Engineering
– volume: Vol. 7874
  start-page: 355
  year: 2013
  end-page: 361
  ident: bib0208
  article-title: Learning and propagating Lagrangian variable bounds for mixed-integer nonlinear programming
  publication-title: Integration of ai and or techniques in constraint programming for combinatorial optimization problems
– volume: 47
  start-page: 2
  year: 2012
  end-page: 18
  ident: bib0222
  article-title: Advances in mathematical programming models for enterprise-wide optimization
  publication-title: Computers & Chemical Engineering
– start-page: 235
  year: 1982
  end-page: 257
  ident: bib0330
  article-title: Submodular functions and convexity
  publication-title: Mathematical programming: The state of the art
– volume: 17
  start-page: 1
  year: 1999
  end-page: 13
  ident: bib0089
  article-title: A rigorous framework for optimization of expensive functions by surrogates
  publication-title: Structural and Multidisciplinary Optimization
– volume: 45
  start-page: 185
  year: 2013
  end-page: 206
  ident: bib0418
  article-title: An adaptive multiquadric radial basis function method for expensive black-box mixed-integer nonlinear constrained optimization
  publication-title: Engineering Optimization
– volume: 3
  start-page: 475
  year: 2009
  end-page: 482
  ident: bib0493
  article-title: Implicitly and densely discrete black-box optimization problems
  publication-title: Optimization Letters
– volume: 46
  start-page: 1361
  year: 1991
  end-page: 1383
  ident: bib0282
  article-title: Synthesis of isothermal reactor–separator–recycle systems
  publication-title: Chemical Engineering Science
– volume: 53
  start-page: 2131
  year: 2007
  end-page: 2147
  ident: bib0372
  article-title: A dual extremum principle in thermodynamics
  publication-title: AIChE Journal
– volume: 19
  start-page: 403
  year: 2001
  end-page: 424
  ident: bib0444
  article-title: Analysis of bounds for multilinear functions
  publication-title: Journal of Global Optimization
– year: 2010
  ident: bib0103
  article-title: MINLP solver software
  publication-title: Wiley encyclopedia of operations research and management science
– volume: 46
  start-page: 193
  year: 2010
  end-page: 215
  ident: bib0041
  article-title: Globalization strategies for mesh adaptive direct search
  publication-title: Computational Optimization and Applications
– volume: 1
  start-page: 322
  year: 2008
  end-page: 342
  ident: bib0002
  article-title: Quantitative object reconstruction using Abel transform X-Ray tomography and mixed variable optimization
  publication-title: The SIAM Journal on Imaging Sciences
– volume: 57
  start-page: 1039
  year: 2013
  end-page: 1063
  ident: bib0286
  article-title: Global optimization of bilinear programs with a multiparametric disaggregation technique
  publication-title: Journal of Global Optimization
– volume: 21
  start-page: 1
  year: 1996
  end-page: 23
  ident: bib0354
  article-title: GLOPEQ: A new computational tool for the phase and chemical equilibrium problem
  publication-title: Computers & Chemical Engineering
– volume: 8
  start-page: 42
  year: 1965
  end-page: 52
  ident: bib0093
  article-title: A new method of constrained optimization and a comparison with other methods
  publication-title: Computer Journal
– volume: 14
  start-page: 1397
  year: 1990
  end-page: 1417
  ident: bib0187
  article-title: A global optimization algorithm (GOP) for certain classes of nonconvex NLPs: I. Theory
  publication-title: Computers & Chemical Engineering
– volume: 8
  start-page: 107
  year: 1996
  end-page: 138
  ident: bib0443
  article-title: A branch-and-reduce approach to global optimization
  publication-title: Journal of Global Optimization
– volume: 29
  start-page: 2507
  year: 2007
  end-page: 2530
  ident: bib0296
  article-title: Implementing generating set search methods for linearly constrained minimization
  publication-title: SIAM Journal on Scientific Computing
– volume: 7
  start-page: 143
  year: 1995
  end-page: 182
  ident: bib0341
  article-title: Finding all solutions of nonlinearly constrained systems of equations
  publication-title: Journal of Global Optimization
– volume: 4
  start-page: 441
  year: 1962
  end-page: 461
  ident: bib0471
  article-title: Sequential application of simplex designs in optimisation and evolutionary operation
  publication-title: Technometrics
– volume: 5
  start-page: 235
  year: 2004
  end-page: 262
  ident: bib0345
  article-title: Optimal aerocoustic shape design using surrogate management framework
  publication-title: Optimization and Engineering
– volume: 164
  start-page: 933
  year: 2015
  end-page: 965
  ident: bib0322
  article-title: Derivative-free methods for mixed-integer constrained optimization problems
  publication-title: Journal of Optimization Theory and Applications
– volume: 32
  start-page: 262
  year: 2011
  end-page: 285
  ident: bib0153
  article-title: Rigorous enclosures of ellipsoids and directed cholesky factorizations
  publication-title: SIAM Journal on Matrix Analysis and Applications
– volume: 47
  start-page: 6101
  year: 2008
  end-page: 6125
  ident: bib0143
  article-title: A kriging-based approach to MINLP containing black-box models and noise
  publication-title: Industrial & Engineering Chemistry Research
– volume: 85
  start-page: 408
  year: 2014
  end-page: 418
  ident: bib0338
  article-title: Energy efficient hybrid wired-cum-wireless sensor network design
  publication-title: Journal of Cleaner Production
– volume: 1
  start-page: 373
  year: 2000
  end-page: 397
  ident: bib0079
  article-title: Global optimization of costly nonconvex functions using radial basis functions
  publication-title: Optimization and Engineering
– volume: 44
  start-page: 509
  year: 2009
  end-page: 534
  ident: bib0497
  article-title: An informational approach to the global optimization of expensive-to-evaluate functions
  publication-title: Journal of Global Optimization
– volume: 15
  start-page: 1057
  year: 2005
  end-page: 1084
  ident: bib0331
  article-title: An algorithm model for mixed variable programming
  publication-title: The SIAM Journal on Optimization
– volume: 42
  start-page: 64
  year: 2012
  end-page: 86
  ident: bib0052
  article-title: Global optimization of a MINLP process synthesis model for thermochemical based conversion of hybrid coal, biomass, and natural gas to liquid fuels
  publication-title: Computers & Chemical Engineering
– volume: 6655
  start-page: 117
  year: 2011
  end-page: 129
  ident: bib0139
  article-title: Valid inequalities for the pooling problem with binary variables
  publication-title: Integer programming and combinatoral optimization
– volume: 35
  start-page: 2729
  year: 2011
  end-page: 2740
  ident: bib0439
  article-title: Using redundancy to strengthen the relaxation for the global optimization of MINLP problems
  publication-title: Computers & Chemical Engineering
– volume: 23
  start-page: 457
  year: 1999
  end-page: 478
  ident: bib0470
  article-title: A symbolic reformulation/spatial branch-and-bound algorithm for the global optimisation of nonconvex MINLPs
  publication-title: Computers & Chemical Engineering
– volume: 43
  start-page: 471
  year: 2009
  end-page: 484
  ident: bib0029
  article-title: Semidefinite programming versus the reformulation-linearization technique for nonconvex quadratically constrained quadratic programming
  publication-title: Journal of Global Optimization
– year: 2000
  ident: bib0183
  publication-title: Optimization in computational chemistry and molecular biology: Local and global approaches
– volume: 32
  start-page: 221
  year: 2005
  end-page: 258
  ident: bib0358
  article-title: Convex underestimation of twice continuously differentiable functions by piecewise quadratic perturbation: Spline
  publication-title: Journal of Global Optimization
– volume: 30
  start-page: 215
  year: 2014
  end-page: 249
  ident: bib0370
  article-title: Dynamically-generated cutting planes for mixed-integer quadratically-constrained quadratic programs and their incorporation into GloMIQO 2.0
  publication-title: Optimization Methods and Software
– volume: 20
  start-page: 190
  year: 2012
  end-page: 214
  ident: bib0292
  article-title: Optimizing radial basis functions by D.C. programming and its use in direct search for global derivative-free optimization
  publication-title: TOP
– volume: 24
  start-page: 643
  year: 2014
  end-page: 677
  ident: bib0078
  article-title: Cutting-planes for optimization of convex functions over nonconvex sets
  publication-title: The SIAM Journal on Optimization
– year: 2014
  ident: bib0154
  article-title: Constraint aggregation for rigorous global optimization
  publication-title: Mathematical Programming
– volume: 34
  start-page: 163
  year: 1986
  end-page: 174
  ident: bib0436
  article-title: Global minimization of large-scale constrained concave quadratic problems by separable programming
  publication-title: Mathematical Programming
– volume: 144
  start-page: 65
  year: 2014
  end-page: 91
  ident: bib0328
  article-title: On convex envelopes for bivariate functions over polytopes
  publication-title: Mathematical Programming
– volume: 79
  start-page: 157
  year: 1993
  end-page: 181
  ident: bib0263
  article-title: Lipschitzian optimization without the Lipschitz constant
  publication-title: Journal of Optimization Theory and Applications
– volume: 10
  start-page: 47
  year: 2005
  end-page: 65
  ident: bib0293
  article-title: A rigorous global filtering algorithm for quadratic constraints
  publication-title: Constraints
– volume: 41
  start-page: 24
  year: 2012
  end-page: 51
  ident: bib0177
  article-title: Hybrid and single feedstock energy processes for liquid transportation fuels: A critical review
  publication-title: Computers & Chemical Engineering
– volume: 103
  start-page: 251
  year: 2005
  end-page: 282
  ident: bib0317
  article-title: A simplicial branch-and-bound algorithm for solving quadratically constrained quadratic programs
  publication-title: Mathematical Programming
– volume: 46
  start-page: 218
  year: 2014
  end-page: 243
  ident: bib0421
  article-title: Constrained optimization by radial basis function interpolation for high-dimensional expensive black-box problems with infeasible initial points
  publication-title: Engineering Optimization
– volume: 56
  start-page: 1719
  year: 2013
  end-page: 1753
  ident: bib0427
  article-title: A quasi-multistart framework for global optimization of expensive functions using response surface models
  publication-title: Journal of Global Optimization
– volume: 15
  start-page: 114
  year: 2003
  end-page: 119
  ident: bib0102
  article-title: MINLPLib - a collection of test models for mixed-integer nonlinear programming
  publication-title: INFORMS Journal on Computing
– volume: 29
  start-page: 442
  year: 2014
  end-page: 462
  ident: bib0522
  article-title: Global optimization of general non-convex problems with intermediate bilinear substructures
  publication-title: Optimization Methods and Software
– volume: 20
  start-page: 740
  year: 2009
  end-page: 758
  ident: bib0230
  article-title: An ellipsoidal branch and bound algorithm for global optimization
  publication-title: SIAM Journal on Optimization
– volume: 5
  start-page: 1
  year: 2011
  end-page: 11
  ident: bib0438
  article-title: Exploiting vector space properties to strengthen the relaxation of bilinear programs arising in the global optimization of process networks
  publication-title: Optimization Letters
– volume: 154
  start-page: 462
  year: 2012
  end-page: 490
  ident: bib0468
  article-title: A generalization of the classical
  publication-title: Journal of Optimization Theory and Applications
– volume: 136
  start-page: 155
  year: 2012
  end-page: 182
  ident: bib0364
  article-title: Global optimization of mixed-integer quadratically-constrained quadratic programs (MIQCQP) through piecewise-linear and edge-concave relaxations
  publication-title: Mathematical Programming B
– reference: Zondervan, E. Grossmann, I. E. (2009). A deterministic security constrained unit commitment model. Available from CyberInfrastructure for MINLP [A collaboration of CMU and IBM Research] at:
– year: 2002
  ident: bib0001
  publication-title: Pattern search algorithms for mixed variable general constrained optimization problems
– volume: 30
  start-page: 365
  year: 2015
  end-page: 378
  ident: bib0326
  article-title: Alternative branching rules for some nonconvex problems
  publication-title: Optimization Methods and Software
– volume: 572
  start-page: 13
  year: 2007
  end-page: 36
  ident: bib0346
  article-title: Trailing-edge noise reduction using derivative-free optimization and large-eddy simulation
  publication-title: Journal of Fluid Mechanics
– volume: 24
  start-page: 761
  year: 2009
  end-page: 779
  ident: bib0247
  article-title: GloptiPoly 3: Moments, optimization and semidefinite programming
  publication-title: Optimization Methods and Software
– volume: 2
  start-page: 225
  year: 1990
  end-page: 235
  ident: bib0174
  article-title: A decomposition strategy for global optimum search in the pooling problem
  publication-title: ORSA Journal on Computing
– volume: 27
  start-page: 1407
  year: 1988
  end-page: 1421
  ident: bib0280
  article-title: Global optimization of nonconvex mixed-integer nonlinear programming (MINLP) problems in process synthesis
  publication-title: Industrial & Engineering Chemistry Research
– year: 2006
  ident: bib0309
  publication-title: Global optimization: From theory to implementation
– volume: 22
  start-page: 357
  year: 1998
  end-page: 365
  ident: bib0506
  article-title: An extended cutting plane method for a class of non-convex MINLP problems
  publication-title: Computers & Chemical Engineering
– volume: 21
  start-page: 311
  year: 2002
  end-page: 323
  ident: bib0059
  article-title: Using DIRECT to solve an aircraft routing problem
  publication-title: Computational Optimization and Applications
– volume: 166
  start-page: 849
  year: 2012
  end-page: 877
  ident: bib0027
  article-title: Global approaches for facility layout and VLSI floorplanning
  publication-title: Handbook on semidefinite, conic and polynomial optimization
– volume: 8
  start-page: 212
  year: 1961
  end-page: 229
  ident: bib0253
  article-title: Direct search solution of numerical and statistical problems
  publication-title: Journal of the ACM
– year: 1990
  ident: bib0385
  publication-title: Interval methods for systems of equations
– volume: 203
  start-page: 153
  year: 2009
  end-page: 234
  ident: bib0307
  article-title: Reformulations in mathematical programming: A computational approach
  publication-title: Foundations of computational intelligence volume 3
– volume: 24
  start-page: 505
  year: 2009
  end-page: 522
  ident: bib0336
  article-title: Convex underestimation strategies for signomial functions
  publication-title: Optimization Methods and Software
– volume: 102
  start-page: 531
  year: 2005
  end-page: 557
  ident: bib0489
  article-title: A polyhedral study of nonconvex quadratic programs with box constraints
  publication-title: Mathematical Programming
– volume: 17
  start-page: 97
  year: 2012
  end-page: 106
  ident: bib0099
  article-title: Non-convex mixed-integer nonlinear programming: A survey
  publication-title: Surveys in Operations Research and Management Science
– reference: , a collaboration of Carnegie Mellon University and IBM Research] at:
– year: 2003
  ident: bib0517
  publication-title: Stochastic adaptive search for global optimization
– volume: 76
  start-page: 246
  year: 1998
  end-page: 258
  ident: bib0098
  article-title: A rigorous MINLP model for the optimal synthesis and operation of utility plants
  publication-title: Chemical Engineering Research and Design
– volume: 197
  start-page: 1890
  year: 2008
  end-page: 1905
  ident: bib0344
  article-title: A computational framework for derivative-free optimization of cardiovascular geometries
  publication-title: Computer Methods in Applied Mechanics and Engineering
– volume: 34
  start-page: 409
  year: 2006
  end-page: 426
  ident: bib0199
  article-title: A combined global and local search (CGLS) approach to global optimization
  publication-title: Journal of Global Optimization
– volume: 37
  start-page: 1
  year: 2011
  end-page: 15
  ident: bib0291
  article-title: Algorithm 909: NOMAD: Nonlinear optimization with the MADS algorithm
  publication-title: ACM Transactions on Mathematical Software
– volume: 36
  start-page: 88
  year: 2011
  end-page: 104
  ident: bib0149
  article-title: On equivalence of semidefinite relaxations for quadratic matrix programming
  publication-title: Mathematics of Operations Research
– volume: 133
  start-page: 299
  year: 2012
  end-page: 325
  ident: bib0494
  article-title: Analysis of direct searches for discontinuous functions
  publication-title: Mathematical Programming
– volume: 10
  start-page: 917
  year: 2000
  end-page: 941
  ident: bib0298
  article-title: Pattern search methods for linearly constrained minimization
  publication-title: SIAM Journal on Optimization
– volume: 131
  start-page: 273
  year: 2012
  end-page: 304
  ident: bib0305
  article-title: Reformulations in mathematical programming: automatic symmetry detection and exploitation
  publication-title: Mathematical Programming
– volume: 58
  start-page: 613
  year: 2014
  end-page: 629
  ident: bib0109
  article-title: Aircraft deconfliction with speed regulation: new models from mixed-integer optimization
  publication-title: Journal of Global Optimization
– volume: 22
  start-page: 1
  year: 2013
  end-page: 131
  ident: bib0065
  article-title: Mixed-integer nonlinear optimization
  publication-title: Acta Numerica
– volume: 8
  start-page: 131
  year: 2013
  end-page: 145
  ident: bib0091
  article-title: Surrogate-based optimization of expensive flowsheet modeling for continuous pharmaceutical manufacturing
  publication-title: Journal of Pharmaceutical Innovation
– volume: 19
  start-page: 1111
  year: 1995
  end-page: 1139
  ident: bib0352
  article-title: Global optimization for the phase and chemical equilibrium problem: Application to the NRTL equation
  publication-title: Computers & Chemical Engineering
– volume: 56
  start-page: 939
  year: 2013
  end-page: 956
  ident: bib0440
  article-title: Large-scale standard pooling problems with constrained pools and fixed demands
  publication-title: Journal of Global Optimization
– year: 2014
  ident: bib0249
  article-title: On the efficient Gerschgorin inclusion usage in the global optimization
  publication-title: Journal of Global Optimization
– volume: 60
  start-page: 123
  year: 2014
  end-page: 144
  ident: bib0381
  article-title: Influence ensemble surrogate models and sampling strategy on the solution quality of algorithms for computationally expensive black-box global optimization methods
  publication-title: Journal of Global Optimization
– year: 2002
  ident: bib0192
  publication-title: The AMPL book. AMPL: A modeling language for mathematical programming
– reference: Escobar, M. Grossmann, I. E. (2010). Mixed-integer nonlinear programming models for optimal simultaneous synthesis of heat exchangers network. Available from CyberInfrastructure for MINLP [A collaboration of CMU and IBM Research] at:
– year: 2001
  ident: bib0196
  publication-title: Modifications of the DIRECT algorithm
– volume: 28
  start-page: 1169
  year: 2004
  end-page: 1192
  ident: bib0077
  article-title: Retrospective on optimization
  publication-title: Computers & Chemical Engineering
– volume: 135
  start-page: 042309
  year: 2013
  ident: bib0146
  article-title: Enhancement of the electrical efficiency of commercial fuel cell units by means of an organic rankine cycle: a case study
  publication-title: Journal of Engineering for Gas Turbines and Power
– volume: 105
  start-page: 594
  year: 1998
  end-page: 603
  ident: bib0235
  article-title: Different transformations for solving non-convex trim-loss problems by MINLP
  publication-title: European Journal of Operational Research
– volume: 23
  start-page: 721
  year: 2013
  end-page: 744
  ident: bib0228
  article-title: Solving mixed integer bilinear problems using MILP formulations
  publication-title: SIAM Journal on Optimization
– reference: Belotti, P., Cafieri, S., Lee, J. Liberti, L. (2012). On feasibility based bounds tightening.
– volume: 8
  start-page: 3
  year: 2009
  end-page: 22
  ident: bib0361
  article-title: Advances for the pooling problem: Modeling, global optimization, and computational studies
  publication-title: Applied and Computational Mathematics
– volume: 56
  start-page: 1
  year: 2013
  end-page: 38
  ident: bib0232
  article-title: A derivative-free approximate gradient sampling algorithm for finite minimax problems
  publication-title: Computational Optimization and Applications
– volume: 28
  start-page: 84
  year: 1989
  end-page: 93
  ident: bib0125
  article-title: Synthesis of utility systems integrated with chemical processes
  publication-title: Industrial & Engineering Chemistry Research
– volume: 45
  start-page: 50
  year: 2009
  end-page: 79
  ident: bib0190
  article-title: Recent advances in surrogate-based optimization
  publication-title: Progress in Aerospace Sciences
– volume: 7933
  start-page: 212
  year: 2013
  end-page: 223
  ident: bib0074
  article-title: Undercover branching
  publication-title: Experimental algorithms
– volume: 71
  start-page: 532
  year: 2014
  end-page: 553
  ident: bib0368
  article-title: Global superstructure optimisation of red blood cell production in a parallelised hollow fibre bioreactor
  publication-title: Computers & Chemical Engineering
– volume: 52
  start-page: 1027
  year: 2006
  end-page: 1037
  ident: bib0359
  article-title: Global optimization of a combinatorially complex generalized pooling problem
  publication-title: AIChE Journal
– volume: 18
  start-page: 8693
  year: 2006
  end-page: 8706
  ident: bib0519
  article-title: Using pattern search methods for surface structure determination of nanomaterials
  publication-title: Journal of Physics: Condensed Matter
– volume: Vol. 7898
  start-page: 178
  year: 2013
  end-page: 192
  ident: bib0145
  article-title: Computation in real closed infinitesimal and transcendental extensions of the rationals
  publication-title: Automated deduction CADE-24
– start-page: 233
  year: 2005
  end-page: 265
  ident: bib0473
  article-title: Global optimization in geometry circle packing into the square
  publication-title: Essays and surveys in global optimization
– volume: 24
  start-page: 485
  year: 2009
  end-page: 504
  ident: bib0057
  article-title: Multiterm polyhedral relaxations for nonconvex, quadratically-constrained quadratic programs
  publication-title: Optimization Methods and Software
– volume: 37
  start-page: 315
  year: 2010
  end-page: 324
  ident: bib0160
  article-title: An evolutionary method for complex-process optimization
  publication-title: Computers & Operations Research
– volume: 58
  start-page: 1
  year: 2014
  end-page: 30
  ident: bib0503
  article-title: Global optimization of bounded factorable functions with discontinuities
  publication-title: Journal of Global Optimization
– volume: 117
  start-page: 407
  year: 2005
  end-page: 419
  ident: bib0055
  article-title: Dynamic optimization of bioprocesses: Efficient and robust numerical strategies
  publication-title: Journal of Biotechnology
– volume: 176
  start-page: 657
  year: 2007
  end-page: 690
  ident: bib0329
  article-title: A survey for the quadratic assignment problem
  publication-title: European Journal of Operational Research
– volume: 299
  start-page: 1
  year: 2010
  end-page: 23
  ident: bib0404
  article-title: A duality-based optimisation approach for the reliable solution of (p, t) phase equilibrium in volume-composition space
  publication-title: Fluid Phase Equilibria
– volume: 124
  start-page: 263
  year: 2000
  end-page: 280
  ident: bib0509
  article-title: Interval mathematics, algebraic equations and optimization
  publication-title: Journal of Computational and Applied Mathematics
– volume: 44
  start-page: 1147
  year: 2012
  end-page: 1166
  ident: bib0402
  article-title: Infill sampling criteria for surrogate-based optimization with constraint handling
  publication-title: Engineering Optimization
– volume: 290
  start-page: 26
  year: 2015
  end-page: 43
  ident: bib0031
  article-title: Inexact restoration method for nonlinear optimization without derivatives
  publication-title: Journal of Computational and Applied Mathematics
– start-page: 65
  year: 2003
  end-page: 80
  ident: bib0096
  article-title: The Boost interval arithmetic library
  publication-title: Proceedings of the 5th conference on real numbers and computers, Lyon, France
– volume: 13
  start-page: 455
  year: 1998
  end-page: 492
  ident: bib0264
  article-title: Efficient global optimization of expensive black-box functions
  publication-title: Journal of Global Optimization
– reference: You, F. Grossmann, I. E.(2009b). Mixed-integer nonlinear programming models for the optimal design of multi-product batch plant. Available from CyberInfrastructure for MINLP [A collaboration of CMU and IBM Research] at:
– volume: 47
  start-page: 661
  year: 2010
  end-page: 685
  ident: bib0111
  article-title: On convex relaxations of quadrilinear terms
  publication-title: Journal of Global Optimization
– volume: 80
  start-page: 21
  year: 2007
  end-page: 31
  ident: bib0259
  article-title: Optimization of hybrid thermoplastic composite structures using surrogate models and genetic algorithms
  publication-title: Composite Structures
– volume: 24
  start-page: 727
  year: 2009
  end-page: 747
  ident: bib0151
  article-title: GloptLab - a configurable framework for the rigorous global solution of quadratic constraint satisfaction problems
  publication-title: Optimization Methods and Software
– volume: 28
  start-page: 2307
  year: 2004
  end-page: 2329
  ident: bib0105
  article-title: Design of distillation sequences: From conventional to fully thermally coupled distillation systems
  publication-title: Computers & Chemical Engineering
– volume: 37
  start-page: 481
  year: 2007
  end-page: 503
  ident: bib0161
  article-title: Scatter search for chemical and bio-process optimization
  publication-title: Journal of Global Optimization
– volume: 138
  start-page: 531
  year: 2013
  end-page: 577
  ident: bib0479
  article-title: Explicit convex and concave envelopes through polyhedral subdivisions
  publication-title: Mathematical Programming
– reference: Caballero, J. A. Grossmann, I. E. (2009). Optimal separation sequences based on distillation: From conventional to fully thermally coupled systems. Available from CyberInfrastructure for MINLP [A collaboration of CMU and IBM Research] at:
– volume: 15
  start-page: 627
  year: 1994
  end-page: 632
  ident: bib0360
  article-title: Direct search methods for the molecular conformation problem
  publication-title: Journal of Computational Chemistry
– reference: Powell, M. J. D.(2013b). LINCOA (linearly constrained optimization algorithm). Available at:
– volume: 45
  start-page: 385
  year: 2003
  end-page: 482
  ident: bib0284
  article-title: Optimization by direct search: New perspectives on some classical and modern methods
  publication-title: SIAM Review
– volume: 91
  start-page: 201
  year: 2002
  end-page: 213
  ident: bib0375
  article-title: Benchmarking derivative-free optimization algorithms
  publication-title: SIAM Journal on Optimization
– volume: 139
  start-page: 124703
  year: 2013
  ident: bib0210
  article-title: Estimation of diffusion anisotropy in microporous crystalline materials and optimization of crystal orientation in membranes
  publication-title: Journal of Chemical Physics
– volume: 17
  start-page: 943
  year: 2006
  end-page: 968
  ident: bib0285
  article-title: Stationarity results for generating set search for linearly constrained optimization
  publication-title: SIAM Journal on Optimization
– volume: 49
  start-page: 4475
  year: 2010
  end-page: 4516
  ident: bib0260
  article-title: Review of water network design methods with literature annotations
  publication-title: Industrial & Engineering Chemistry Research
– volume: 13
  start-page: 579
  year: 2012
  end-page: 594
  ident: bib0197
  article-title: Adapting derivative free optimization methods to engineering models with discrete variables
  publication-title: Optimization and Engineering
– volume: 130
  start-page: 359
  year: 2011
  end-page: 413
  ident: bib0452
  article-title: Convex relaxations of non-convex mixed integer quadratically constrained programs: Projected formulations
  publication-title: Mathematical Programming
– volume: 14
  start-page: 1419
  year: 1990
  end-page: 1434
  ident: bib0499
  article-title: A global optimization algorithm (GOP) for certain classes of nonconvex NLPs: II. application of theory and test problems
  publication-title: Computers & Chemical Engineering
– volume: 25
  start-page: 131
  year: 1995
  end-page: 154
  ident: bib0156
  article-title: Global optimization algorithms for chip layout and compaction
  publication-title: Engineering Optimization
– volume: 202
  start-page: 164
  year: 2010
  end-page: 174
  ident: bib0273
  article-title: Constrained optimization in expensive simulation: Novel approach
  publication-title: European Journal of Operational Research
– volume: 27
  start-page: 5
  year: 2004
  end-page: 22
  ident: bib0069
  article-title: On the construction of convex and concave envelope formulas for bilinear and fractional functions on quadrilaterals
  publication-title: Computational Optimization and Applications
– volume: 34
  start-page: 1365
  year: 2010
  end-page: 1376
  ident: bib0224
  article-title: Scope for the application of mathematical programming techniques in the synthesis and planning of sustainable processes
  publication-title: Computers & Chemical Engineering
– volume: 5
  start-page: 186
  year: 2008
  end-page: 204
  ident: bib0085
  article-title: An algorithmic framework for convex mixed integer nonlinear programs
  publication-title: Discrete Optimization
– volume: 41
  start-page: 208
  year: 2009
  end-page: 215
  ident: bib0045
  article-title: Simple polygons of maximum perimeter contained in a unit disk
  publication-title: Discrete & Computational Geometry
– volume: 31
  start-page: 153
  year: 2005
  end-page: 171
  ident: bib0422
  article-title: Constrained global optimization of expensive black box functions using radial basis functions
  publication-title: Journal of Global Optimization
– volume: 50
  start-page: 761
  year: 2004
  end-page: 776
  ident: bib0034
  article-title: Pooling problem: Alternate formulations and solution methods
  publication-title: Management Science
– year: 1999
  ident: bib0461
  publication-title: A reformulation-linearization technique for solving discrete and continuous nonconvex problems
– reference: Powell, M. J. D.(2013a). COBYLA (constrained optimization by linear approximations). Available at:
– start-page: 2114
  year: 2009
  end-page: 2121
  ident: bib0498
  article-title: MINLP: Applications in blending and pooling
  publication-title: Encyclopedia of optimization
– volume: 57
  start-page: 1147
  year: 2013
  end-page: 1172
  ident: bib0135
  article-title: Theoretical filtering of RLT bound-factor constraints for solving polynomial programming problems to global optimality
  publication-title: Journal of Global Optimization
– volume: 281
  start-page: 22
  year: 2009
  end-page: 31
  ident: bib0087
  article-title: Calculation of homogeneous azeotropes in reactive and non-reactive mixtures using a stochastic optimization approach
  publication-title: Fluid Phase Equilibria
– volume: 87
  start-page: 401
  year: 2000
  end-page: 426
  ident: bib0250
  article-title: An efficient algorithm for globally minimizing a quadratic function under convex quadratic constraints
  publication-title: Mathematical Programming
– volume: 31
  start-page: 743
  year: 2008
  end-page: 757
  ident: bib0193
  article-title: Comparison of derivative-free optimization methods for groundwater supply and hydraulic capture community problems
  publication-title: Water Resources
– volume: 30
  start-page: 367
  year: 2004
  end-page: 390
  ident: bib0021
  article-title: A new class of improved convex underestimators for twice continuously differentiable constrained NLPs
  publication-title: Journal of Global Optimization
– volume: 36
  start-page: 1267
  year: 2013
  end-page: 1277
  ident: bib0086
  article-title: Multiphase mixed-integer optimal control approach to aircraft trajectory optimization
  publication-title: Journal of Guidance, Control, and Dynamics
– start-page: 303
  year: 2010
  end-page: 314
  ident: bib0306
  article-title: The reformulation-optimization software engine
  publication-title: Proceedings of the third international congress conference on mathematical software
– start-page: 321
  year: 2013
  end-page: 353
  ident: bib0203
  article-title: A new algorithm for MINLP applied to gas transport energy cost minimization
  publication-title: Facets of combinatorial optimization
– volume: 60
  start-page: 425
  year: 2014
  end-page: 458
  ident: bib0276
  article-title: Branch-and-sandwich: a deterministic global optimization algorithm for optimistic bilevel programming problems. Part II: Convergence analysis and numerical results
  publication-title: Journal of Global Optimization
– volume: 29
  start-page: 467
  year: 2005
  end-page: 479
  ident: bib0121
  article-title: Optimization of metabolic pathways under stability considerations
  publication-title: Computers & Chemical Engineering
– volume: 43
  start-page: 7796
  year: 2004
  end-page: 7806
  ident: bib0313
  article-title: Dynamic optimization of batch emulsion polymerization using MSIMPSA, a simulated- annealing-based algorithm
  publication-title: Industrial & Engineering Chemistry Research
– volume: 50
  start-page: 7414
  year: 2011
  end-page: 7427
  ident: bib0241
  article-title: Preliminary synthesis of fuel gas networks to conserve energy and preserve the environment
  publication-title: Industrial & Engineering Chemistry Research
– volume: 27
  start-page: 89
  year: 2007
  end-page: 99
  ident: bib0449
  article-title: MINLP optimisation model for increased power production in small-scale CHP plants
  publication-title: Applied Thermal Engineering
– volume: 180
  start-page: 012014
  year: 2009
  ident: bib0299
  article-title: Applications and algorithms for mixed integer nonlinear programming
  publication-title: Journal of Physics: Conference Series
– volume: 28
  start-page: 1763
  year: 2008
  end-page: 1773
  ident: bib0150
  article-title: Synthesis of heat exchanger networks using genetic algorithms
  publication-title: Applied Thermal Engineering
– volume: 81
  start-page: 2
  year: 2015
  end-page: 21
  ident: bib0238
  article-title: A multi-scale framework for CO2 capture, utilization and sequestration: CCUS and CCU
  publication-title: Computers and Chemical Engineering
– volume: 41
  start-page: 1798
  year: 1995
  end-page: 1814
  ident: bib0353
  article-title: Global optimization for the phase stability problem
  publication-title: AIChE Journal
– volume: 11
  start-page: 573
  year: 2001
  end-page: 594
  ident: bib0007
  article-title: Filter pattern search algorithms for mixed variable constrained optimization problems
  publication-title: The SIAM Journal on Optimization
– volume: 19
  start-page: 1150
  year: 2008
  end-page: 1170
  ident: bib0040
  article-title: Parallel space decomposition of the mesh adaptive direct search algorithm
  publication-title: The SIAM Journal on Optimization
– volume: 144
  start-page: 315
  year: 2013
  end-page: 346
  ident: bib0073
  article-title: Undercover: a primal MINLP heuristic exploring a largest sub-MIP
  publication-title: Mathematical Programming
– volume: 7276
  start-page: 75
  year: 2012
  end-page: 86
  ident: bib0110
  article-title: Compact relaxations for polynomial programming problems
  publication-title: Experimental algorithms
– volume: 15
  start-page: 4
  year: 2011
  end-page: 31
  ident: bib0141
  article-title: Differential evolution: A survey of the state-of-the-art
  publication-title: IEEE Transactions on Evolutionary Computation
– volume: 154
  start-page: 373
  year: 2012
  end-page: 405
  ident: bib0100
  article-title: The MILP road to MIQCP
  publication-title: Mixed integer nonlinear programming
– volume: 7
  start-page: 113
  year: 1995
  ident: bib0181
  article-title: State-of-the-art in global optimization - computational methods and applications - Preface
  publication-title: Journal of Global Optimization
– volume: 4
  start-page: 245
  year: 2013
  end-page: 254
  ident: bib0164
  article-title: A decomposition approach for a new test-scenario in complex problem solving
  publication-title: Journal of Computer Science
– volume: 54
  start-page: 765
  year: 2012
  end-page: 790
  ident: bib0304
  article-title: Decomposition strategy for the stochastic pooling problem
  publication-title: Journal of Global Optimization
– volume: 124
  start-page: 383
  year: 2010
  end-page: 411
  ident: bib0451
  article-title: Convex relaxations of non-convex mixed integer quadratically constrained programs: Extended formulations
  publication-title: Mathematical Programming
– volume: 53
  start-page: 122
  year: 2013
  end-page: 142
  ident: bib0287
  article-title: A discretization-based approach for the optimization of the multiperiod blend scheduling problem
  publication-title: Computers & Chemical Engineering
– volume: 84
  start-page: 869
  year: 2003
  end-page: 882
  ident: bib0278
  article-title: Hybrid global optimization algorithms for protein structure prediction: Alternating hybrids
  publication-title: Biophysical Journal
– year: 2012
  ident: bib0295
  publication-title: Mixed integer nonlinear programming
– volume: 22
  start-page: 233
  year: 2002
  end-page: 261
  ident: bib0463
  article-title: Enhancing RLT relaxations via a new class of semidefinite cuts
  publication-title: Journal of Global Optimization
– volume: 45
  start-page: 53
  year: 2012
  end-page: 64
  ident: bib0003
  article-title: An efficient class of direct search surrogate methods for solving expensive optimization problems with CPU-time-related functions
  publication-title: Structural and Multidisciplinary Optimization
– reference: Mouret, S. Grossmann, I. E. (2010). Crude-oil operations scheduling. Available from CyberInfrastructure for MINLP [A collaboration of Carnegie Mellon University and IBM Research] at:
– volume: 25
  start-page: 797
  year: 2010
  end-page: 817
  ident: bib0220
  article-title: Asynchronous parallel hybrid optimization combining DIRECT and GSS
  publication-title: Optimization Methods and Software
– volume: 20
  start-page: 573
  year: 2009
  end-page: 601
  ident: bib0373
  article-title: McCormick-based relaxations of algorithms
  publication-title: SIAM Journal on Optimization
– volume: 51
  start-page: 15665
  year: 2012
  end-page: 15682
  ident: bib0236
  article-title: Modeling, simulation, and optimization of postcombustion CO2 capture for variable feed concentration and flow rate. 2. pressure swing adsorption and vacuum swing adsorption processes
  publication-title: Industrial & Engineering Chemistry Research
– year: 2008
  ident: bib0189
  article-title: Global optimization of deceptive functions with sparse sampling
  publication-title: AIAA/ISSMO multidisciplinary analysis and optimization conference
– volume: 15
  year: 2013
  ident: bib0327
  publication-title: Global optimization: Theory, algorithms, and applications
– volume: 46
  start-page: 3669
  year: 2007
  end-page: 3683
  ident: bib0116
  article-title: Optimal periodic scheduling of multistage continuous plants with single and multiple time grid formulations
  publication-title: Industrial & Engineering Chemistry Research
– volume: 5
  start-page: 269
  year: 1995
  end-page: 285
  ident: bib0206
  article-title: An implicit filtering algorithm for optimization of functions with many local minima
  publication-title: SIAM Journal on Optimization
– volume: 229
  start-page: 4664
  year: 2010
  end-page: 4682
  ident: bib0447
  article-title: A method for stochastic constrained optimization using derivative-free surrogate pattern search and collocation
  publication-title: Journal of Computational Physics
– volume: 19
  start-page: 497
  year: 2007
  end-page: 509
  ident: bib0425
  article-title: A stochastic radial basis function method for the global optimization of expensive functions
  publication-title: INFORMS Journal on Computing
– volume: 13
  start-page: 703
  year: 1989
  end-page: 715
  ident: bib0124
  article-title: A retrofit approach for heat exchanger networks
  publication-title: Computers & Chemical Engineering
– volume: Vol. 356
  year: 2011
  ident: bib0288
  publication-title: Computational optimization, methods and algorithms
– volume: 160
  start-page: 121
  year: 2005
  end-page: 138
  ident: bib0095
  article-title: Constrained optimization involving expensive function evaluations: A sequential approach
  publication-title: European Journal of Operational Research
– volume: 52
  start-page: 55
  year: 2013
  end-page: 76
  ident: bib0502
  article-title: Sustainable design and synthesis of hydrocarbon biorefinery via gasification pathway: Integrated life cycle assessment and technoeconomic analysis with multiobjective superstructure optimization
  publication-title: Computers & Chemical Engineering
– volume: 81
  start-page: 1192
  year: 2003
  end-page: 1199
  ident: bib0242
  article-title: Catalytic combustion kinetics: Using a direct search algorithm to evaluate kinetic parameters from light-off curves
  publication-title: The Canadian Journal of Chemical Engineering
– start-page: 1
  year: 2015
  end-page: 40
  ident: bib0090
  article-title: Global optimization of general constrained grey-box models: new method and its application to constrained PDEs for pressure swing adsorption
  publication-title: Journlal of Global Optimization
– year: 2002
  ident: bib0482
  publication-title: Convexification and global optimization in continuous and mixed-integer nonlinear programming: theory, applications, software, and applications
– volume: 58
  start-page: 3370
  year: 2012
  end-page: 3389
  ident: bib0516
  article-title: Process synthesis for addressing the sustainable energy systems and environmental issues
  publication-title: AIChE Journal
– start-page: 563
  year: 2003
  end-page: 573
  ident: bib0476
  article-title: On the existence of polyhedral convex envelopes
  publication-title: Frontiers in global optimization
– volume: 22
  start-page: 1137
  year: 1998
  end-page: 1158
  ident: bib0015
  article-title: A global optimization method,
  publication-title: Computers & Chemical Engineering
– volume: 14
  start-page: 980
  year: 2004
  end-page: 1010
  ident: bib0037
  article-title: A pattern search filter method for nonlinear programming without derivatives
  publication-title: The SIAM Journal on Optimization
– volume: 27
  start-page: 115
  year: 2007
  end-page: 124
  ident: bib0394
  article-title: A new derivative-free algorithm for the medical image registration problem
  publication-title: International Journal of Modeling and Simulation
– volume: 2
  start-page: 71
  year: 1998
  end-page: 109
  ident: bib0518
  article-title: Semidefinite programming relaxations for the quadratic assignment problem
  publication-title: Journal of Combinatorial Optimization
– volume: 21
  start-page: 87
  year: 1991
  end-page: 97
  ident: bib0400
  article-title: Global optimization algorithms for linearly constrained indefinite quadratic problems
  publication-title: Computers & Mathematics with Applications
– volume: 10
  start-page: 147
  year: 1976
  end-page: 175
  ident: bib0350
  article-title: Computability of global solutions to factorable nonconvex programs: Part 1-convex underestimating problems
  publication-title: Mathematical Programming
– volume: 63
  start-page: 193
  year: 1994
  end-page: 212
  ident: bib0068
  article-title: Global minimization by reducing the duality gap
  publication-title: Mathematical Programming
– volume: 22
  start-page: 1159
  year: 1998
  end-page: 1179
  ident: bib0013
  article-title: A global optimization method,
  publication-title: Computers & Chemical Engineering
– volume: 161
  start-page: 506
  year: 2013
  end-page: 532
  ident: bib0474
  article-title: Algorithms for an integer multicommodity network flow problem with node reliability considerations
  publication-title: Journal of Optimization Theory and Applications
– volume: 49
  start-page: 5424
  year: 2010
  end-page: 5438
  ident: bib0362
  article-title: Global optimization of large-scale pooling problems: Quadratically constrained MINLP models
  publication-title: Industrial & Engineering Chemistry Research
– volume: 29
  start-page: 1317
  year: 2005
  end-page: 1328
  ident: bib0501
  article-title: Simulation-based optimization with surrogate models - application to supply chain management
  publication-title: Computers & Chemical Engineering
– volume: 41
  start-page: 687
  year: 2003
  end-page: 696
  ident: bib0396
  article-title: Evolutionary optimization of computationally expensive problems via surrogate modeling
  publication-title: AIAA Journal
– volume: 46
  start-page: 281
  year: 2012
  end-page: 295
  ident: bib0399
  article-title: Fixed-charge transportation with product blending
  publication-title: Transportation Science
– volume: 45
  start-page: 3
  year: 2009
  end-page: 38
  ident: bib0178
  article-title: A review of recent advances in global optimization
  publication-title: Journal of Global Optimization
– volume: 11
  start-page: 319
  year: 1987
  end-page: 336
  ident: bib0179
  article-title: Synthesis of flexible heat-exchanger networks with uncertain flowrates and temperatures
  publication-title: Computers & Chemical Engineering
– reference: Guillén-Gosálbez, G. Pozo, C. (2010). Optimization of metabolic networks in biotechnology. Available from CyberInfrastructure for MINLP [A collaboration of CMU and IBM Research] at:
– volume: 275
  start-page: 51
  year: 1994
  end-page: 67
  ident: bib0410
  article-title: A direct search optimization method that models the objective and constraint functions by linear interpolation
  publication-title: Advances in optimization and numerical analysis
– volume: 58
  start-page: 2373
  year: 2012
  end-page: 2396
  ident: bib0302
  article-title: Scheduling of crude oil operations under demand uncertainty: A robust optimization framework coupled with global optimization
  publication-title: AIChE Journal
– volume: 24
  start-page: 657
  year: 2009
  end-page: 668
  ident: bib0316
  article-title: The global solver in the LINDO API
  publication-title: Optimization Methods and Software
– volume: 58
  start-page: 2320
  year: 2012
  end-page: 2335
  ident: bib0168
  article-title: A new approach for global optimization of a class of minlp problems with applications to water management and pooling problems
  publication-title: AIChE Journal
– volume: 59
  start-page: 633
  year: 2014
  end-page: 662
  ident: bib0487
  article-title: Multivariate McCormick relaxations
  publication-title: Journal of Global Optimization
– volume: 47
  start-page: 29
  year: 2012
  end-page: 56
  ident: bib0053
  article-title: Process synthesis of hybrid coal, biomass, and natural gas to liquids via Fischer-Tropsch synthesis, ZSM-5 catalytic conversion, methanol synthesis, methanol-to-gasoline, and methanol-to-olefins/distillate technologies
  publication-title: Computers & Chemical Engineering
– volume: 43
  start-page: 2407
  year: 1988
  end-page: 2419
  ident: bib0176
  article-title: Synthesis of distillation sequences with several multicomponent feed and product streams
  publication-title: Chemical Engineering Science
– volume: 114
  start-page: 135
  year: 2007
  end-page: 150
  ident: bib0044
  article-title: The small octagon with longest perimeter
  publication-title: Journal of Combinatorial Theory, Series A
– volume: 161
  start-page: 905
  year: 2014
  end-page: 932
  ident: bib0367
  article-title: A framework for globally optimizing mixed-integer signomial programs
  publication-title: Journal of Optimization Theory and Applications
– volume: 42
  start-page: 51
  year: 2008
  end-page: 67
  ident: bib0212
  article-title: Tight convex underestimators for
  publication-title: Journal of Global Optimization
– volume: 182
  start-page: 514
  year: 2007
  end-page: 535
  ident: bib0424
  article-title: Parallel radial basis function methods for the global optimization of expensive functions
  publication-title: European Journal of Operational Research
– volume: 40
  start-page: 1383
  year: 2013
  end-page: 1400
  ident: bib0382
  article-title: SO-MI: A surrogate model algorithm for computationally expensive nonlinear mixed-integer black-box global optimization problems
  publication-title: Computers & Operations Research
– volume: 5
  year: 2008
  ident: bib0231
  article-title: Optimal design of hybrid fuel cell vehicles
  publication-title: Journal of Fuel Cell Science and Technology
– volume: 48
  start-page: 5742
  year: 2009
  end-page: 5766
  ident: bib0214
  article-title: Computational comparison of piecewise-linear relaxations for pooling problems
  publication-title: Industrial & Engineering Chemistry Research
– volume: 14
  start-page: 631
  year: 1990
  end-page: 653
  ident: bib0017
  article-title: Synthesis of general distillation sequences - nonsharp separations
  publication-title: Computers & Chemical Engineering
– volume: 103
  start-page: 207
  year: 2005
  end-page: 224
  ident: bib0357
  article-title: Convex envelopes for edge-concave functions
  publication-title: Mathematical Programming
– volume: 56
  start-page: 669
  year: 2013
  end-page: 689
  ident: bib0492
  article-title: Efficient global optimization algorithm assisted by multiple surrogate techniques
  publication-title: Journal of Global Optimization
– volume: 136
  start-page: 325
  year: 2012
  end-page: 351
  ident: bib0333
  article-title: Some results on the strength of relaxations of multilinear functions
  publication-title: Mathematical Programming
– start-page: 25
  year: 2012
  end-page: 39
  ident: bib0080
  article-title: Comparing MIQCP solvers to a specialised algorithm for mine production scheduling
  publication-title: Modeling, simulation and optimization of complex processes
– volume: 46
  start-page: 1769
  year: 2000
  end-page: 1797
  ident: bib0014
  article-title: Global optimization of mixed-integer nonlinear problems
  publication-title: AIChE Journal
– volume: 11
  start-page: 501
  year: 2010
  end-page: 532
  ident: bib0258
  article-title: A method for simulation based optimization using radial basis functions
  publication-title: Optimization and Engineering
– volume: 124
  start-page: 33
  year: 2010
  end-page: 43
  ident: bib0030
  article-title: Computable representations for convex hulls of low-dimensional quadratic forms
  publication-title: Mathematical Programming
– volume: 53
  start-page: 505
  year: 2012
  end-page: 526
  ident: bib0321
  article-title: Derivative-free methods for bound constrained mixed-integer optimization
  publication-title: Computational Optimization and Applications
– volume: 46
  start-page: 9148
  year: 2007
  end-page: 9157
  ident: bib0162
  article-title: Global optimization for integrated design and control of computationally expensive process models
  publication-title: Industrial & Engineering Chemistry Research
– year: 2004
  ident: bib0184
  publication-title: Frontiers in global optimization
– volume: 54
  start-page: 991
  year: 2008
  end-page: 1008
  ident: bib0507
  article-title: Piecewise MILP under-and overestimators for global optimization of bilinear programs
  publication-title: AIChE Journal
– volume: 11
  start-page: 573
  year: 2001
  end-page: 594
  ident: bib0035
  article-title: Pattern search algorithms for mixed variable programming
  publication-title: The SIAM Journal on Optimization
– reference: Jones, D. R. (2008). MOPTA 2008 benchmark. Available at:
– volume: 59
  start-page: 477
  year: 2014
  end-page: 501
  ident: bib0325
  article-title: A technique to derive the analytical form of convex envelopes for some bivariate functions
  publication-title: Journal of Global Optimization
– volume: 46
  start-page: 105
  year: 2012
  end-page: 123
  ident: bib0167
  article-title: Process synthesis of biodiesel production plant using artificial neural networks as the surrogate models
  publication-title: Computers & Chemical Engineering
– volume: 5
  start-page: 205
  year: 1994
  end-page: 251
  ident: bib0351
  article-title: Decomposition based and branch and bound global optimization approaches for the phase equilibrium problem
  publication-title: Journal of Global Optimization
– volume: 63
  start-page: 376
  year: 2008
  end-page: 394
  ident: bib0485
  article-title: LP-based solution strategies for the optimal design of industrial water networks with multiple contaminants
  publication-title: Chemical Engineering Science
– volume: 33
  start-page: 313
  year: 2005
  end-page: 336
  ident: bib0112
  article-title: Decomposition methods for solving nonconvex quadratic programs via branch and bound
  publication-title: Journal of Global Optimization
– volume: 121
  start-page: 307
  year: 2010
  end-page: 335
  ident: bib0428
  article-title: Solving max-cut to optimality by intersecting semidefinite and polyhedral relaxations
  publication-title: Mathematical Programming
– year: 2005
  ident: bib0390
  publication-title: Relaxation and decomposition methods for mixed integer nonlinear programming
– volume: 6
  start-page: 39
  year: 1995
  end-page: 76
  ident: bib0417
  article-title: A global optimization algorithm for linear fractional and bilinear programs
  publication-title: Journal of Global Optimization
– volume: 28
  start-page: 770
  year: 2008
  end-page: 784
  ident: bib0132
  article-title: Using simplex gradients of nonsmooth functions in direct search methods
  publication-title: IMA Journal of Numerical Analysis
– volume: 3
  start-page: 519
  year: 1993
  end-page: 521
  ident: bib0318
  article-title: A remark on the GOP algorithm for global optimization
  publication-title: Journal of Global Optimization
– volume: 19
  start-page: 1451
  year: 2008
  end-page: 1466
  ident: bib0257
  article-title: The convex envelope of (n-1) convex functions
  publication-title: The SIAM Journal on Optimization
– volume: 177
  start-page: 63
  year: 2010
  end-page: 90
  ident: bib0431
  article-title: Portfolio optimization for wealth-dependent risk preferences
  publication-title: Annals of Operations Research
– volume: 32
  start-page: 417
  year: 2005
  end-page: 431
  ident: bib0315
  article-title: Global solution approach for a nonconvex MINLP problem in product portfolio optimization
  publication-title: Journal of Global Optimization
– volume: 62
  start-page: 161
  year: 2014
  end-page: 193
  ident: bib0233
  article-title: Scope for industrial applications of production scheduling models and solution methods
  publication-title: Computers & Chemical Engineering
– volume: 102
  start-page: 559
  year: 2005
  end-page: 575
  ident: bib0488
  article-title: A branch-and-cut algorithm for nonconvex quadratic programs with box constraints
  publication-title: Mathematical Programming
– volume: 56
  start-page: 1217
  year: 2013
  end-page: 1232
  ident: bib0349
  article-title: Constrained derivative-free optimization on thin domains
  publication-title: Journal of Global Optimization
– volume: 19
  start-page: 551
  year: 1995
  end-page: 566
  ident: bib0442
  article-title: Global optimization of nonconvex NLPs and MINLPs with applications in process design
  publication-title: Computers & Chemical Engineering
– volume: 78
  start-page: 187
  year: 1993
  end-page: 225
  ident: bib0188
  article-title: Primal-relaxed dual global optimization approach
  publication-title: Journal of Optimization Theory and Applications
– volume: 145
  start-page: 289
  year: 2010
  end-page: 310
  ident: bib0274
  article-title: Decomposition-based method for sparse semidefinite relaxations of polynomial optimization problems
  publication-title: Journal of Optimization Theory and Applications
– volume: 25
  start-page: 665
  year: 2001
  end-page: 674
  ident: bib0314
  article-title: Design, synthesis and scheduling of multipurpose batch plants via an effective continuous-time formulation
  publication-title: Computers & Chemical Engineering
– volume: 35
  start-page: 876
  year: 2011
  end-page: 892
  ident: bib0371
  article-title: APOGEE: Global optimization of standard, generalized, and extended pooling problems via linear and logarithmic partitioning schemes
  publication-title: Computers & Chemical Engineering
– volume: 8
  start-page: 273
  year: 1983
  end-page: 286
  ident: bib0023
  article-title: Jointly constrained biconvex programming
  publication-title: Mathematics of Operations Research
– volume: 32
  start-page: 138
  year: 2006
  end-page: 156
  ident: bib0216
  article-title: Algorithm 852: RealPaver: An interval solver using constraint satisfaction techniques
  publication-title: ACM Transactions on Mathematical Software
– volume: 97
  start-page: 7667
  year: 1992
  end-page: 7678
  ident: bib0340
  article-title: A global optimization approach for Lennard-Jones microclusters
  publication-title: Journal of Chemical Physics
– reference: Flores-Tlacuahuac, A. Grossmann, I. E. (2009). Simultaneous cyclic scheduling and control of a multiproduct CSTR. Available from CyberInfrastructure for MINLP [A collaboration of CMU and IBM Research] at:
– volume: 17
  start-page: 606
  year: 2006
  end-page: 619
  ident: bib0004
  article-title: Convergence of mesh adaptive direct search to second-order stationary points
  publication-title: The SIAM Journal on Optimization
– volume: 3
  start-page: 35
  year: 2009
  end-page: 47
  ident: bib0005
  article-title: Mesh adaptive direct search algorithms for mixed variable optimization
  publication-title: Optimization Letters
– reference: Castro, P. Novais, A. (2009). Periodic scheduling of continuous multiproduct plants. Available from CyberInfrastructure for MINLP [A collaboration of CMU and IBM Research] at:
– volume: 53
  start-page: 17002
  year: 2014
  end-page: 17025
  ident: bib0389
  article-title: Coal and biomass to liquid transportation fuels: Process synthesis and global optimization strategies
  publication-title: Industrial & Engineering Chemistry Research
– volume: 36
  start-page: 307
  year: 1986
  end-page: 339
  ident: bib0159
  article-title: An outer-approximation algorithm for a class of mixed-integer nonlinear programs
  publication-title: Mathematical Programming
– volume: 21, Supplement
  start-page: S791
  year: 1997
  end-page: S796
  ident: bib0469
  article-title: Global optimisation of nonconvex MINLPs
  publication-title: Computers & Chemical Engineering
– start-page: 1
  year: 1999
  end-page: 74
  ident: bib0084
  article-title: The maximum clique problem
  publication-title: Handbook of combinatorial optimization
– volume: 125
  start-page: 123
  year: 2010
  end-page: 137
  ident: bib0113
  article-title: Global optimization problems and domain reduction strategies
  publication-title: Mathematical Programming
– volume: 2
  start-page: 739
  year: 2012
  end-page: 748
  ident: bib0075
  article-title: Analyzing the computational impact of MIQCP solver components
  publication-title: Numerical Algebra, Control and Optimization
– volume: 20
  start-page: 2614
  year: 2010
  end-page: 2635
  ident: bib0323
  article-title: Sequential penalty derivative-free methods for nonlinear constrained optimization
  publication-title: The SIAM Journal on Optimization
– volume: 49
  start-page: 1037
  year: 1994
  end-page: 1051
  ident: bib0283
  article-title: Optimization of complex reactor networks–II. Nonisothermal operation.
  publication-title: Chemical Engineering Science
– volume: 57
  start-page: 3
  year: 2013
  end-page: 50
  ident: bib0365
  article-title: GloMIQO: Global Mixed-Integer Quadratic Optimizer
  publication-title: Journal of Global Optimization
– volume: 43
  start-page: 277
  year: 2009
  end-page: 297
  ident: bib0419
  article-title: Column enumeration based decomposition techniques for a class of non-convex MINLP problems
  publication-title: Journal of Global Optimization
– volume: 83
  start-page: 248
  year: 2006
  end-page: 265
  ident: bib0433
  article-title: A hybrid approach for efficient and robust parameter estimation in biochemical pathways
  publication-title: Biosystems
– volume: 29
  start-page: 125
  year: 2004
  end-page: 155
  ident: bib0356
  article-title: Trilinear monomials with mixed sign domains: Facets of the convex and concave envelopes
  publication-title: Journal of Global Optimization
– volume: 38
  start-page: 341
  year: 2010
  end-page: 345
  ident: bib0137
  article-title: On interval-subgradient and no-good cuts
  publication-title: Operations Research Letters
– volume: 301
  start-page: 42
  year: 2012
  end-page: 52
  ident: bib0508
  article-title: Simultaneous optimization of size and short-term operation for an RO plant
  publication-title: Desalination
– volume: 60
  start-page: 199
  year: 2014
  end-page: 229
  ident: bib0386
  article-title: A trust-region-based derivative free algorithm for mixed integer programming
  publication-title: Computational Optimization and Applications
– reference: Abramson, M. A., Audet, C., Couture, G., Dennis, J. E., Le Digabel, S. Tribes, C.(2009b). The NOMAD project. Available at:
– volume: 59
  start-page: 3748
  year: 2013
  end-page: 3766
  ident: bib0115
  article-title: Inventory pinch algorithm for gasoline blend planning
  publication-title: AIChE Journal
– volume: 57
  start-page: 1216
  year: 2011
  end-page: 1232
  ident: bib0245
  article-title: Surrogate-based superstructure optimization framework
  publication-title: AIChE Journal
– volume: 48
  start-page: 8515
  year: 2009
  end-page: 8528
  ident: bib0378
  article-title: A novel priority-slot based continuous-time formulation for crude-oil scheduling problems
  publication-title: Industrial & Engineering Chemistry Research
– volume: 57
  start-page: 434
  year: 2011
  end-page: 457
  ident: bib0019
  article-title: Global superstructure optimization for the design of integrated process water networks
  publication-title: AIChE Journal
– volume: 20
  start-page: 948
  year: 2009
  end-page: 966
  ident: bib0008
  article-title: OrthoMADS: A deterministic MADS instance with orthogonal directions
  publication-title: The SIAM Journal on Optimization
– volume: 33
  start-page: 769
  year: 2009
  end-page: 781
  ident: bib0200
  article-title: Methodology for the optimal thermo-economic, multi-objective design of thermochemical fuel production from biomass
  publication-title: Computers & Chemical Engineering
– volume: 22
  start-page: 385
  year: 2013
  end-page: 400
  ident: bib0147
  article-title: A branch-and-cut approach to portfolio selection with marginal risk control in a linear conic programming framework
  publication-title: Journal of Systems Science and Systems Engineering
– volume: 18
  start-page: 343
  year: 1979
  end-page: 348
  ident: bib0225
  article-title: Optimum design of multipurpose chemical plants
  publication-title: Industrial & Engineering Chemistry Process Design and Development
– year: 2011
  ident: bib0269
  publication-title: Implicit filtering
– volume: 30
  start-page: 15
  year: 2015
  end-page: 53
  ident: bib0405
  article-title: Validation of nominations in gas network optimization: models, methods, and solutions
  publication-title: Optimization Methods and Software
– volume: 48
  start-page: 1973
  year: 2009
  end-page: 1979
  ident: bib0406
  article-title: Convex hull discretization approach to the global optimization of pooling problems
  publication-title: Industrial & Engineering Chemistry Research
– volume: 36
  start-page: 805
  year: 2010
  end-page: 812
  ident: bib0067
  article-title: Valid inequalities and convex hulls for multilinear functions. Electronic Notes in Discrete Mathematics
  publication-title: Proceedings of the international symposium on combinatorial optimization ISCO, 2010
– volume: 20
  start-page: 1
  year: 2009
  end-page: 29
  ident: bib0319
  article-title: A derivative-free algorithm for inequality constrained nonlinear programming via smoothing of an l- ∞ penalty function
  publication-title: SIAM Journal on Optimization
– volume: 16
  start-page: 406
  year: 2004
  end-page: 418
  ident: bib0219
  article-title: Optimizing an empirical scoring function for transmembrane protein structure determination
  publication-title: INFORMS Journal on Computing
– volume: 57
  start-page: 115
  year: 2013
  end-page: 141
  ident: bib0334
  article-title: A reformulation framework for global optimization
  publication-title: Journal of Global Optimization
– volume: 282
  year: 1987
  ident: bib0453
  article-title: More Test examples for nonlinear programming codes
  publication-title: Lecture Notes in Economics and Mathematical Systems
– year: 2009
  ident: bib0129
  article-title: Introduction to derivative-free optimization
  publication-title: MPS-SIAM Series on Optimization
– volume: 34
  start-page: 318
  year: 2010
  end-page: 330
  ident: bib0409
  article-title: Global optimization for the synthesis of property-based recycle and reuse networks including environmental constraints
  publication-title: Computers & Chemical Engineering
– volume: 56
  start-page: 1007
  year: 2013
  end-page: 1016
  ident: bib0048
  article-title: Maximal perimeter, diameter and area of equilateral unit-width convex polygons
  publication-title: Journal of Global Optimization
– volume: 29
  start-page: 165
  year: 2003
  end-page: 194
  ident: bib0246
  article-title: GloptiPoly: Global optimization over polynomials with Matlab and SeDuMi
  publication-title: ACM Transactions on Mathematical Software
– volume: 11
  start-page: 83
  year: 2009
  end-page: 93
  ident: bib0120
  article-title: Linear program-based algorithm for the optimal design of wastewater treatment systems
  publication-title: Clean Technologies and Environmental Policy
– reference: Ruiz, J. P. Grossmann, I. E. (2009). Water treatment network design. Available from CyberInfrastructure for MINLP [
– reference: You, F. Grossmann, I. E.(2009a). Mixed-integer nonlinear programming models and algorithms for supply chain design with stochastic inventory management. Available from CyberInfrastructure for MINLP [A collaboration of CMU and IBM Research] at:
– volume: 49
  start-page: 467
  year: 2011
  end-page: 480
  ident: bib0042
  article-title: The small hexagon and heptagon with maximum sum of distances between vertices
  publication-title: Journal of Global Optimization
– volume: 216
  start-page: 509
  year: 2012
  end-page: 520
  ident: bib0083
  article-title: Copositive optimization: Recent developments and applications
  publication-title: European Journal of Operational Research
– start-page: 237
  year: 2003
  end-page: 254
  ident: bib0265
  article-title: Exact computation of global minima of a nonconvex portfolio optimization problem
  publication-title: Frontiers in global optimization
– volume: 99
  start-page: 1154
  year: 2008
  end-page: 1169
  ident: bib0408
  article-title: Yield optimization of regulated metabolic systems using deterministic branch-and-reduce methods
  publication-title: Biotechnology and Bioengineering
– volume: 76
  start-page: 1
  year: 2013
  end-page: 16
  ident: bib0064
  article-title: On the composition of convex envelopes for quadrilinear terms
  publication-title: Optimization, simulation, and control
– reference: Nyberg, A., Grossmann, I. E. Westerlund, T. (2012). The optimal design of a three-echelon supply chain with inventories under uncertainty. Available from CyberInfrastructure for MINLP [
– volume: 52
  start-page: 7514
  year: 2013
  end-page: 7525
  ident: bib0521
  article-title: Computational experience with applications of bilinear cutting planes
  publication-title: Industrial & Engineering Chemistry Research
– volume: 2
  start-page: 445
  year: 2008
  end-page: 454
  ident: bib0130
  article-title: The GLOBAL optimization method revisited
  publication-title: Optimization Letters
– volume: 56
  start-page: 419
  year: 2010
  end-page: 440
  ident: bib0515
  article-title: Integrated multi-echelon supply chain design with inventories under uncertainty: MINLP models, computational strategies
  publication-title: AIChE Journal
– volume: 20
  start-page: 387
  year: 2009
  end-page: 415
  ident: bib0128
  article-title: Global convergence of general derivative-free trust-region algorithms to first and second order critical points
  publication-title: The SIAM Journal on Optimization
– volume: 86
  start-page: 1667
  year: 2009
  end-page: 1674
  ident: bib0388
  article-title: A new decomposition approach for the thermal unit commitment problem
  publication-title: Applied Energy
– volume: 21
  start-page: 345
  year: 2001
  end-page: 383
  ident: bib0261
  article-title: A taxonomy of global optimization methods based on response surfaces
  publication-title: Journal of Global Optimization
– volume: 17
  start-page: 822
  year: 2006
  end-page: 843
  ident: bib0290
  article-title: Convergent SDP relaxations in polynomial optimization with sparsity
  publication-title: SIAM Journal on Optimization
– volume: 113
  start-page: 259
  year: 2008
  end-page: 282
  ident: bib0101
  article-title: A finite branch-and-bound algorithm for nonconvex quadratic programming via semidefinite relaxations
  publication-title: Mathematical Programming
– volume: 35
  start-page: 1630
  year: 1996
  end-page: 1641
  ident: bib0294
  article-title: Mixed-integer linear programming model for refinery short-term scheduling of crude oil unloading with inventory management
  publication-title: Industrial & Engineering Chemistry Research
– reference: Powell, M. J. D.. The BOBYQA algorithm for bound constrained optimization without derivatives, 2009. Available at:
– reference: .
– volume: 103
  start-page: 225
  year: 2005
  end-page: 249
  ident: bib0484
  article-title: A polyhedral branch-and-cut approach to global optimization
  publication-title: Mathematical Programming
– volume: 32
  start-page: 592
  year: 1986
  end-page: 606
  ident: bib0158
  article-title: A mixed-integer nonlinear programming algorithm for process systems synthesis
  publication-title: AIChE Journal
– volume: 22
  start-page: 191
  year: 1988/89
  end-page: 195
  ident: bib0475
  article-title: On a class of functions attaining their maximum at the vertices of a polyhedron
  publication-title: Discrete Applied Mathematics
– volume: 17
  start-page: 188
  year: 2006
  end-page: 217
  ident: bib0038
  article-title: Mesh adaptive direct search algorithms for constrained optimization
  publication-title: The SIAM Journal on Optimization
– volume: 59
  start-page: 197
  year: 2013
  end-page: 210
  ident: bib0215
  article-title: Improvements in surrogate models for process synthesis. application to water network system design
  publication-title: Computers & Chemical Engineering
– volume: 96
  start-page: 293
  year: 2003
  end-page: 320
  ident: bib0403
  article-title: Semidefinite programming relaxations for semialgebraic problems
  publication-title: Mathematical Programming
– volume: 220
  start-page: 324
  year: 2013
  end-page: 330
  ident: bib0126
  article-title: Global convergence of trust-region algorithms for convex constrained minimization without derivatives
  publication-title: Applied Mathematics and Computation
– volume: 7
  start-page: 308
  year: 1965
  end-page: 313
  ident: bib0384
  article-title: A simplex method for function minimization
  publication-title: Computer Journal
– volume: 6508
  start-page: 65
  year: 2010
  end-page: 76
  ident: bib0062
  article-title: Feasibility-based bounds tightening via fixed points
  publication-title: Combinatorial optimization and applications
– volume: 75
  start-page: 183
  year: 2006
  end-page: 207
  ident: bib0441
  article-title: Global optimization of explicit strong-stability-preserving Runge-Kutta methods
  publication-title: Mathematics of Computation
– reference: Plantenga, T. D. (2009). HOPSPACK 2.0 User Manual. Available at:
– volume: 20, Supplement 1
  start-page: S121
  year: 1996
  end-page: S126
  ident: bib0234
  article-title: Different formulations for solving trim loss problems in a paper-converting mill with ILP
  publication-title: Computers & Chemical Engineering
– volume: 47
  start-page: 3060
  year: 2008
  end-page: 3070
  ident: bib0446
  article-title: Global optimization of reverse osmosis network for wastewater treatment and minimization
  publication-title: Industrial & Engineering Chemistry Research
– volume: 136
  start-page: 375
  year: 2012
  end-page: 402
  ident: bib0138
  article-title: A storm of feasibility pumps for nonconvex MINLP
  publication-title: Mathematical Programming
– volume: 9
  start-page: 1082
  year: 1999
  end-page: 1099
  ident: bib0297
  article-title: Pattern search algorithms for bound constrained minimization
  publication-title: SIAM Journal on Optimization
– volume: 50
  start-page: 5225
  year: 2011
  end-page: 5238
  ident: bib0414
  article-title: A spatial branch-and-bound framework for the global optimization of kinetic models of metabolic networks
  publication-title: Industrial & Engineering Chemistry Research
– volume: 43
  start-page: 391
  year: 2009
  end-page: 405
  ident: bib0335
  article-title: Some transformation techniques with applications in global optimization
  publication-title: Journal of Global Optimization
– volume: 8
  start-page: 1599
  year: 2013
  end-page: 1610
  ident: bib0012
  article-title: A variance-based method to rank input variables of the mesh adaptive direct search algorithm
  publication-title: Optimization Letters
– year: 1999
  ident: bib0185
  publication-title: Handbook of test problems in local and global optimization
– volume: 89
  start-page: 2428
  year: 2011
  end-page: 2441
  ident: bib0376
  article-title: Using evolutionary search to optimise the energy consumption for natural gas liquefaction
  publication-title: Chemical Engineering Research and Design
– volume: 36
  start-page: 161
  year: 2006
  end-page: 189
  ident: bib0312
  article-title: An exact reformulation algorithm for large nonconvex NLPs involving bilinear terms
  publication-title: Journal of Global Optimization
– volume: 35
  start-page: 2750
  year: 2011
  end-page: 2766
  ident: bib0379
  article-title: A new Lagrangian decomposition approach applied to the integration of refinery planning and crude-oil scheduling
  publication-title: Computers & Chemical Engineering
– volume: 154
  start-page: 407
  year: 2012
  end-page: 426
  ident: bib0415
  article-title: Linear programming relaxations of quadratically constrained quadratic programs
  publication-title: Mixed integer nonlinear programming
– volume: 14
  start-page: 331
  year: 1999
  end-page: 355
  ident: bib0255
  article-title: Global optimization by multilevel coordinate search
  publication-title: Journal of Global Optimization
– volume: 9
  start-page: 143
  year: 2008
  end-page: 160
  ident: bib0032
  article-title: Spent potliner treatment process optimization using a MADS algorithm
  publication-title: Optimization and Engineering
– volume: 59
  start-page: 505
  year: 2013
  end-page: 531
  ident: bib0051
  article-title: Novel natural gas to liquids processes: Process synthesis and global optimization strategies
  publication-title: AIChE Journal
– volume: 7
  start-page: 443
  year: 2011
  end-page: 466
  ident: bib0243
  article-title: DIRECT using local search on surrogates
  publication-title: Pacific Journal of Optimization
– year: 2006
  ident: bib0450
  publication-title: Reformulations, relaxations and cutting planes for generalized disjunctive programming
– volume: 41
  start-page: 299
  year: 2008
  end-page: 318
  ident: bib0033
  article-title: Nonsmooth optimization through mesh adaptive direct search and variable neighborhood search
  publication-title: Journal of Global Optimization
– volume: 20
  start-page: 133
  year: 2001
  end-page: 154
  ident: bib0480
  article-title: Semidefinite relaxations of fractional programs via novel convexification techniques
  publication-title: Journal of Global Optimization
– volume: 10
  start-page: 425
  year: 1997
  end-page: 437
  ident: bib0430
  article-title: A convex envelope formula for multilinear functions
  publication-title: Journal of Global Optimization
– volume: 146
  start-page: 417
  year: 2003
  end-page: 431
  ident: bib0060
  article-title: Global optimization approaches to an aircraft routing problem
  publication-title: European Journal of Operational Research
– volume: 22
  start-page: 245
  year: 1997
  end-page: 270
  ident: bib0460
  article-title: Convex envelopes of multilinear functions over a unit hypercube and over special discrete sets
  publication-title: Acta Mathematica Vietnamica
– volume: 40
  start-page: 132
  year: 2012
  end-page: 147
  ident: bib0486
  article-title: Global optimization of water networks design using multiparametric disaggregation
  publication-title: Computers & Chemical Engineering
– volume: 16
  start-page: 652
  year: 1970
  end-page: 675
  ident: bib0205
  article-title: Elements of Large-Scale Mathematical Programming .1. Concepts
  publication-title: Management Science Series A-Theory
– volume: 60
  start-page: 425
  year: 2014
  end-page: 458
  ident: bib0275
  article-title: Branch-and-sandwich: a deterministic global optimization algorithm for optimistic bilevel programming problems. Part I: Theoretical development
  publication-title: Journal of Global Optimization
– volume: 87
  start-page: 131
  year: 2000
  end-page: 152
  ident: bib0043
  article-title: A branch and cut algorithm for nonconvex quadratically constrained quadratic programming
  publication-title: Mathematical Programming
– volume: 8
  start-page: 201
  year: 1996
  end-page: 205
  ident: bib0445
  article-title: BARON: A general purpose global optimization software package
  publication-title: Journal of Global Optimization
– year: 1996
  ident: bib0182
  publication-title: State of the art in global optimization: Computational methods and applications
– volume: 6
  start-page: 267
  year: 2013
  end-page: 287
  ident: bib0050
  article-title: Biomass to liquid transportation fuels (BTL) systems: Process synthesis and global optimization framework
  publication-title: Energy & Environmental Science
– volume: 4
  start-page: 1
  year: 2012
  end-page: 31
  ident: bib0383
  article-title: Rounding-based heuristics for nonconvex MINLPs
  publication-title: Mathematical Programming Computation
– volume: 149
  start-page: 27
  year: 2002
  end-page: 36
  ident: bib0435
  article-title: Test systems and mathematical models for transmission network expansion planning
  publication-title: Generation, Transmission and Distribution, IEE Proceedings-
– reference: Gopalakrishnan, A. Biegler, L. (2011). MINLP and MPCC formulations for the cascading tanks problem. Available from CyberInfrastructure for MINLP [A collaboration of CMU and IBM Research] at:
– volume: 43
  start-page: 191
  year: 2009
  end-page: 205
  ident: bib0144
  article-title: A kriging based method for the solution of mixed-integer nonlinear programs containing black-box functions
  publication-title: Journal of Global Optimization
– volume: 58
  start-page: 205
  year: 2012
  end-page: 226
  ident: bib0301
  article-title: Continuous-time modeling and global optimization approach for scheduling of crude oil operations
  publication-title: AIChE Journal
– year: 2014
  ident: bib0072
  publication-title: Heuristic algorithms in global MINLP solvers
– volume: 52
  start-page: 1
  year: 2011
  end-page: 28
  ident: bib0082
  article-title: Convergence rate of McCormick relaxations
  publication-title: Journal of Global Optimization
– volume: 43
  start-page: 3817
  year: 2004
  end-page: 3826
  ident: bib0277
  article-title: Design of peptide analogues with improved activity using a novel de novo protein design approach
  publication-title: Industrial & Engineering Chemistry Research
– start-page: 229
  year: 2014
  end-page: 246
  ident: bib0229
  article-title: Computational comparison of convex underestimators for use in a branch-and-bound global optimization framework
  publication-title: Optimization in science and engineering
– volume: 58
  start-page: 429
  year: 2014
  end-page: 438
  ident: bib0504
  article-title: The cluster problem revisited
  publication-title: Journal of Global Optimization
– year: 1995
  ident: bib0172
  publication-title: Nonlinear and mixed-integer optimization: Fundamentals and applications
– volume: 2
  start-page: 363
  year: 2008
  end-page: 375
  ident: bib0477
  article-title: Existence and sum decomposition of vertex polyhedral convex envelopes
  publication-title: Optimization Letters
– volume: 59
  start-page: 503
  year: 2014
  end-page: 526
  ident: bib0366
  article-title: ANTIGONE: Algorithms for coNTinuous Integer Global Optimization of Nonlinear Equations
  publication-title: Journal of Global Optimization
– year: 2008
  ident: bib0191
  publication-title: Engineering design via surrogate modelling - A practical guide
– volume: 54
  start-page: 2633
  year: 2008
  end-page: 2650
  ident: bib0107
  article-title: An algorithm for the use of surrogate models in modular flowsheet optimization
  publication-title: AIChE Journal
– volume: 50
  start-page: 158
  year: 2007
  end-page: 185
  ident: bib0118
  article-title: An efficient heuristic procedure for the optimal design of wastewater treatment systems
  publication-title: Resources, Conservation and Recycling
– volume: 41
  start-page: W11427
  year: 2005
  ident: bib0380
  article-title: Comparison of function approximation, heuristic, and derivative-based methods for automatic calibration of computationally expensive groundwater bioremediation models
  publication-title: Water Resources Research
– start-page: 145
  year: 2003
  end-page: 164
  ident: bib0202
  article-title: Implementation and testing of a branch-and-bound based method for deterministic global optimization: Operations research applications
  publication-title: Frontiers in global optimization
– volume: 43
  start-page: 299
  year: 2009
  end-page: 328
  ident: bib0266
  article-title: Cutting circles and polygons from area-minimizing rectangles
  publication-title: Journal of Global Optimization
– volume: 34
  start-page: 1432
  year: 2010
  end-page: 1456
  ident: bib0369
  article-title: Mathematical modeling and global optimization of large-scale extended pooling problems with the (EPA) complex emissions constraints
  publication-title: Computers & Chemical Engineering
– volume: 146
  start-page: 325
  year: 2014
  end-page: 350
  ident: bib0025
  article-title: Copositivity and constrained fractional quadratic problems
  publication-title: Mathematical Programming
– volume: 60
  start-page: 217
  year: 2014
  end-page: 238
  ident: bib0054
  article-title: Extended formulations for convex envelopes
  publication-title: Journal of Global Optimization
– volume: 3
  start-page: 281
  year: 2002
  end-page: 303
  ident: bib0478
  article-title: Product disaggregation in global optimization and relaxations of rational programs
  publication-title: Optimization and Engineering
– volume: 5
  start-page: 449
  year: 2014
  end-page: 473
  ident: bib0194
  article-title: Mathematical optimization for challenging network planning problems in unbundled liberalized gas markets
  publication-title: Energy Systems
– volume: 3
  start-page: 349
  year: 2011
  end-page: 390
  ident: bib0310
  article-title: A recipe for finding good solutions to MINLPs
  publication-title: Mathematical Programming Computation
– volume: 38
  start-page: 837
  year: 2011
  end-page: 853
  ident: bib0420
  article-title: Stochastic radial basis function algorithms for large-scale optimization involving expensive black-box objective and constraint functions
  publication-title: Computers & Operations Research
– start-page: 1
  year: 2015
  end-page: 27
  ident: bib0320
  article-title: Exploiting derivative-free local searches in direct-type algorithms for global optimization
  publication-title: Computational Optimization and Applications
– volume: 22
  start-page: S229
  year: 1998
  end-page: S236
  ident: bib0221
  article-title: Total process optimization in chemical engineering with evolutionary algorithms
  publication-title: Computers & Chemical Engineering
– volume: 14
  start-page: 3
  year: 2013
  end-page: 35
  ident: bib0016
  article-title: A trust-region framework for constrained optimization using reduced order modeling
  publication-title: Optimization and Engineering
– start-page: 327
  year: 2003
  end-page: 352
  ident: bib0355
  article-title: Trilinear monomials with positive or negative domains: Facets of the convex and concave envelopes
  publication-title: Frontiers in global optimization
– volume: 22
  start-page: 603
  year: 1998
  end-page: 612
  ident: bib0056
  article-title: Stochastic optimization for optimal and model-predictive control
  publication-title: Computers & Chemical Engineering
– volume: 138
  start-page: 407
  year: 2008
  end-page: 427
  ident: bib0211
  article-title: Convexity of products of univariate functions and convexification transformations for geometric programming
  publication-title: Journal of Optimization Theory and Applications
– volume: 21
  start-page: 107
  year: 2013
  end-page: 147
  ident: bib0472
  article-title: An intelligent multi-restart memetic algorithm for box constrained global optimisation
  publication-title: Evolutionary Computation
– volume: 49
  start-page: 4442
  year: 2013
  end-page: 4464
  ident: bib0166
  article-title: Estimation of plume distribution for carbon sequestration using parameter estimation with limited monitoring data
  publication-title: Water Resources Research
– volume: 2009
  start-page: 22
  year: 2009
  ident: bib0248
  article-title: A literature review on circle and sphere packing problems: Models and methodologies
  publication-title: Advances in Operations Research
– volume: 54
  start-page: 495
  year: 2008
  end-page: 515
  ident: bib0456
  article-title: A short-term operational planning model for natural gas production systems
  publication-title: AIChE Journal
– volume: 28
  start-page: 1233
  year: 2013
  end-page: 1261
  ident: bib0198
  article-title: On sequential and parallel non-monotone derivative-free algorithms for box constrained optimization
  publication-title: Optimization Methods and Software
– volume: 28
  start-page: 364
  year: 2013
  end-page: 378
  ident: bib0204
  article-title: The travelling salesman problem with neighbourhoods: MINLP solution
  publication-title: Optimization Methods and Software
– volume: 7
  start-page: 1
  year: 1995
  end-page: 31
  ident: bib0464
  article-title: A reformulation-convexification approach for solving nonconvex quadratic-programming problems
  publication-title: Journal of Global Optimization
– volume: 28
  start-page: 139
  year: 2013
  end-page: 158
  ident: bib0127
  article-title: Use of quadratic models with mesh-adaptive direct search for constrained black box optimization
  publication-title: Optimization Methods and Software
– volume: 21
  start-page: 1
  year: 1997
  end-page: 9
  ident: bib0465
  article-title: New reformulation linearization/convexification relaxations for univariate and multivariate polynomial programming problems
  publication-title: Operations Research Letters
– volume: 37
  start-page: 113
  year: 2007
  end-page: 135
  ident: bib0423
  article-title: Improved strategies for radial basis function methods for global optimization
  publication-title: Journal of Global Optimization
– volume: 121
  start-page: 61
  year: 2010
  end-page: 104
  ident: bib0429
  article-title: Lifting inequalities: a framework for generating strong cuts for nonlinear programs
  publication-title: Mathematical Programming
– volume: 39
  start-page: 197
  year: 2007
  end-page: 219
  ident: bib0490
  article-title: A particle swarm pattern search method for bound constrained global optimization
  publication-title: Journal of Global Optimization
– volume: 129
  start-page: 129
  year: 2011
  end-page: 157
  ident: bib0058
  article-title: Semidefinite relaxations for quadratically constrained quadratic programming: A review and comparisons
  publication-title: Mathematical Programming
– volume: 29
  start-page: 249
  year: 2004
  end-page: 264
  ident: bib0020
  article-title: Computational experience with a new class of convex underestimators: Box-constrained NLP problems
  publication-title: Journal of Global Optimization
– volume: 21
  start-page: 351
  year: 1997
  end-page: 369
  ident: bib0342
  article-title: Global optimization in generalized geometric programming
  publication-title: Computers & Chemical Engineering
– year: 2012
  ident: bib0495
  publication-title: Decomposition in multistage stochastic programming and a constraint integer programming approach to mixed-integer nonlinear programming
– volume: 24
  start-page: 959
  year: 2014
  end-page: 992
  ident: bib0169
  article-title: A linesearch-based derivative-free approach for nonsmooth constrained optimization
  publication-title: SIAM Journal on Optimization
– volume: 53
  start-page: 2001
  year: 2007
  end-page: 2012
  ident: bib0142
  article-title: A kriging method for the solution of nonlinear programs with black-box functions
  publication-title: AIChE Journal
– volume: 7
  start-page: e37493
  year: 2012
  ident: bib0458
  article-title: SAS-Pro: Simultaneous residue assignment and structure superposition for protein structure alignment
  publication-title: PLoS ONE
– volume: 11
  start-page: 317
  year: 2012
  end-page: 336
  ident: bib0363
  article-title: Global optimization of mixed-integer models with quadratic and signomial functions: A review
  publication-title: Applied and Computational Mathematics
– volume: 23
  start-page: 605
  year: 2011
  end-page: 617
  ident: bib0155
  article-title: Combination of nonlinear and linear optimization of transient gas networks
  publication-title: INFORMS Journal on Computing
– volume: 156
  start-page: 2439
  year: 2008
  end-page: 2448
  ident: bib0455
  article-title: A clique algorithm for standard quadratic programming
  publication-title: Discrete Applied Mathematics
– volume: 344
  start-page: 219
  year: 2014
  end-page: 227
  ident: bib0134
  article-title: Structural optimization of seawater desalination: II novel MED MSF TVC configurations
  publication-title: Desalination
– volume: 98
  start-page: 46
  year: 2002
  end-page: 59
  ident: bib0046
  article-title: The largest small octagon
  publication-title: Journal of Combinatorial Theory, Series A
– volume: 351
  start-page: 111
  year: 2006
  end-page: 118
  ident: bib0097
  article-title: The design of the Boost interval arithmetic library
  publication-title: Theoretical Computer Science
– volume: 287
  start-page: 111
  year: 2010
  end-page: 125
  ident: bib0088
  article-title: Evaluation of stochastic global optimization methods for modeling vapor-liquid equilibrium data
  publication-title: Fluid Phase Equilibria
– volume: 63
  start-page: 108
  year: 2014
  end-page: 139
  ident: bib0347
  article-title: PGS-COM: A hybrid method for constrained non-smooth black-box optimization problems: Brief review, novel algorithm and comparative evaluation
  publication-title: Computers & Chemical Engineering
– volume: 53
  start-page: 7489
  year: 2014
  end-page: 7506
  ident: bib0237
  article-title: Nationwide, regional, and statewide CO2 capture, utilization, and sequestration supply chain network optimization
  publication-title: Industrial & Engineering Chemistry Research
– volume: 28
  start-page: 1193
  year: 2004
  end-page: 1218
  ident: bib0223
  article-title: Part II. Future perspective on optimization
  publication-title: Computers & Chemical Engineering
– year: 1992
  ident: bib0180
  publication-title: Recent advances in global optimization
– volume: 48
  start-page: 41
  year: 2010
  end-page: 55
  ident: bib0457
  article-title: A genetic algorithm for a global optimization problem arising in the detection of gravitational waves
  publication-title: Journal of Global Optimization
– volume: 30
  start-page: 54
  year: 2005
  end-page: 69
  ident: bib0114
  article-title: Optimization of block layout design problems with unequal areas: A comparison of MILP and MINLP optimization methods
  publication-title: Computers & Chemical Engineering
– volume: 53
  start-page: 2659
  year: 2007
  end-page: 2680
  ident: bib0300
  article-title: Improving the robustness and efficiency of crude scheduling algorithms
  publication-title: AIChE Journal
– volume: 58
  start-page: 411
  year: 2014
  end-page: 427
  ident: bib0467
  article-title: New methods for calculating
  publication-title: Journal of Global Optimization
– volume: 344
  start-page: 252
  year: 2014
  end-page: 265
  ident: bib0133
  article-title: Structural optimization of seawater desalination: I. a flexible superstructure and novel MED-MSF configurations
  publication-title: Desalination
– start-page: 561
  year: 2010
  end-page: 618
  ident: bib0244
  article-title: Nonlinear integer programming
  publication-title: 50 years of integer programming 1958-2008
– volume: 1
  start-page: 1
  year: 2009
  end-page: 41
  ident: bib0009
  article-title: SCIP: Solving constraint integer programs
  publication-title: Mathematical Programming Computation
– volume: 15
  start-page: 404
  year: 2010
  end-page: 429
  ident: bib0152
  article-title: Constraint propagation on quadratic constraints
  publication-title: Constraints
– volume: 99
  start-page: 563
  year: 2004
  end-page: 591
  ident: bib0483
  article-title: Global optimization of mixed-integer nonlinear programs: A theoretical and computational study
  publication-title: Mathematical Programming
– volume: 151
  start-page: 121
  year: 2003
  end-page: 140
  ident: bib0279
  article-title: A new class of hybrid global optimization algorithms for peptide structure prediction: integrated hybrids
  publication-title: Computer Physics Communications
– volume: 154
  start-page: 427
  year: 2012
  end-page: 444
  ident: bib0076
  article-title: Extending a CIP framework to solve MIQCPs
  publication-title: Mixed integer nonlinear programming
– volume: 42
  start-page: 69
  year: 2008
  end-page: 89
  ident: bib0213
  article-title: Tight convex underestimators for
  publication-title: Journal of Global Optimization
– volume: 20
  start-page: 445
  year: 2009
  end-page: 472
  ident: bib0039
  article-title: A progressive barrier for derivative-free nonlinear programming
  publication-title: The SIAM Journal on Optimization
– volume: 21
  start-page: 119
  year: 2002
  end-page: 142
  ident: bib0332
  article-title: A derivative-free algorithm for bound constrained optimization
  publication-title: Computational Optimization and Applications
– reference: Ahmetović, E. Grossmann, I. E. (2010). Integrated process water networks design problem. Available from CyberInfrastructure for MINLP [A collaboration of CMU and IBM Research] at:
– volume: 6
  start-page: 33
  year: 2013
  end-page: 54
  ident: bib0071
  article-title: RENS – the optimal rounding
  publication-title: Mathematical Programming Computation
– volume: 59
  start-page: 23
  year: 2013
  end-page: 28
  ident: bib0392
  article-title: An efficient reformulation of the multiechelon stochastic inventory system with uncertain demands
  publication-title: AIChE Journal
– volume: 62
  start-page: 1
  year: 2015
  end-page: 28
  ident: bib0131
  article-title: Glods: Global and local optimization using direct search
  publication-title: Journal of Global Optimization
– volume: 2
  start-page: 5
  year: 2001
  end-page: 29
  ident: bib0281
  article-title: Mixed variable optimization of the number and composition of heat intercepts in a thermal insulation system
  publication-title: Optimization and Engineering
– volume: 59
  start-page: 673
  year: 2014
  end-page: 693
  ident: bib0523
  article-title: Global optimization of general nonconvex problems with intermediate polynomial substructures
  publication-title: Journal of Global Optimization
– volume: 41
  start-page: 370
  year: 2013
  end-page: 372
  ident: bib0324
  article-title: Computing the value of the convex envelope of quadratic forms over polytopes through a semidefinite program
  publication-title: Operations Research Letters
– start-page: 501
  year: 2004
  end-page: 504
  ident: bib0022
  article-title: The role of the off-diagonal elements of the Hessian matrix in the construction of tight convex underestimators for nonconvex functions
  publication-title: Discovery through product and process design
– volume: 57
  start-page: 2120
  year: 2011
  end-page: 2135
  ident: bib0303
  article-title: Stochastic pooling problem for natural gas production network design and operation under uncertainty
  publication-title: AIChE Journal
– volume: 40
  start-page: 2260
  year: 2001
  end-page: 2274
  ident: bib0104
  article-title: Generalized disjunctive programming model for the optimal synthesis of thermally linked distillation columns
  publication-title: Industrial & Engineering Chemistry Research
– volume: 38
  start-page: 509
  year: 2007
  end-page: 526
  ident: bib0122
  article-title: Global optimization in stabilizing controller design
  publication-title: Journal of Global Optimization
– volume: 10
  start-page: 383
  year: 2011
  end-page: 392
  ident: bib0505
  article-title: Some notes on convex relaxations
  publication-title: AIDIC Conference Series
– volume: 47
  start-page: 7802
  year: 2008
  end-page: 7817
  ident: bib0512
  article-title: Mixed-integer nonlinear programming models and algorithms for large-scale supply chain design with stochastic inventory management
  publication-title: Industrial & Engineering Chemistry Research
– volume: 71
  start-page: 636
  year: 2014
  end-page: 647
  ident: bib0395
  article-title: Municipal solid waste to liquid transportation fuels part I: Mathematical modeling of a municipal solid waste gasifier
  publication-title: Computers & Chemical Engineering
– volume: 24
  start-page: 1980
  year: 2014
  end-page: 1998
  ident: bib0218
  article-title: A merit function approach for direct search
  publication-title: SIAM Journal on Optimization
– volume: 95
  start-page: 4988
  year: 2008
  end-page: 4999
  ident: bib0387
  article-title: Generalized pattern search algorithm for peptide structure prediction
  publication-title: Biophysical Journal
– volume: 157
  start-page: 1309
  year: 2009
  end-page: 1318
  ident: bib0308
  article-title: Reformulation in mathematical programming: an application to quantum chemistry
  publication-title: Discrete Applied Mathematics
– volume: 37
  start-page: 481
  issue: 3
  year: 2007
  ident: 10.1016/j.ejor.2015.12.018_bib0161
  article-title: Scatter search for chemical and bio-process optimization
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-006-9075-3
– volume: 59
  start-page: 23
  issue: 1
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0392
  article-title: An efficient reformulation of the multiechelon stochastic inventory system with uncertain demands
  publication-title: AIChE Journal
  doi: 10.1002/aic.13977
– volume: 98
  start-page: 46
  issue: 1
  year: 2002
  ident: 10.1016/j.ejor.2015.12.018_bib0046
  article-title: The largest small octagon
  publication-title: Journal of Combinatorial Theory, Series A
  doi: 10.1006/jcta.2001.3225
– volume: 7
  start-page: 113
  issue: 2
  year: 1995
  ident: 10.1016/j.ejor.2015.12.018_bib0181
  article-title: State-of-the-art in global optimization - computational methods and applications - Preface
  publication-title: Journal of Global Optimization
  doi: 10.1007/BF01097056
– volume: 56
  start-page: 1719
  issue: 4
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0427
  article-title: A quasi-multistart framework for global optimization of expensive functions using response surface models
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-012-9940-1
– volume: 93
  start-page: 247
  issue: 2
  year: 2002
  ident: 10.1016/j.ejor.2015.12.018_bib0481
  article-title: Convex extensions and envelopes of lower semi-continuous functions
  publication-title: Mathematical Programming
  doi: 10.1007/s10107-002-0308-z
– volume: 15
  start-page: 404
  issue: 3
  year: 2010
  ident: 10.1016/j.ejor.2015.12.018_bib0152
  article-title: Constraint propagation on quadratic constraints
  publication-title: Constraints
  doi: 10.1007/s10601-009-9076-1
– volume: 58
  start-page: 2373
  issue: 8
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0302
  article-title: Scheduling of crude oil operations under demand uncertainty: A robust optimization framework coupled with global optimization
  publication-title: AIChE Journal
  doi: 10.1002/aic.12772
– volume: 52
  start-page: 55
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0502
  article-title: Sustainable design and synthesis of hydrocarbon biorefinery via gasification pathway: Integrated life cycle assessment and technoeconomic analysis with multiobjective superstructure optimization
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/j.compchemeng.2012.12.008
– volume: 7
  start-page: 308
  year: 1965
  ident: 10.1016/j.ejor.2015.12.018_bib0384
  article-title: A simplex method for function minimization
  publication-title: Computer Journal
  doi: 10.1093/comjnl/7.4.308
– volume: 28
  start-page: 1193
  issue: 8
  year: 2004
  ident: 10.1016/j.ejor.2015.12.018_bib0223
  article-title: Part II. Future perspective on optimization
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/j.compchemeng.2003.11.006
– volume: 11
  start-page: 573
  issue: 3
  year: 2001
  ident: 10.1016/j.ejor.2015.12.018_bib0035
  article-title: Pattern search algorithms for mixed variable programming
  publication-title: The SIAM Journal on Optimization
  doi: 10.1137/S1052623499352024
– volume: 52
  start-page: 1027
  issue: 3
  year: 2006
  ident: 10.1016/j.ejor.2015.12.018_bib0359
  article-title: Global optimization of a combinatorially complex generalized pooling problem
  publication-title: AIChE Journal
  doi: 10.1002/aic.10717
– volume: 95
  start-page: 4988
  issue: 10
  year: 2008
  ident: 10.1016/j.ejor.2015.12.018_bib0387
  article-title: Generalized pattern search algorithm for peptide structure prediction
  publication-title: Biophysical Journal
  doi: 10.1529/biophysj.107.124016
– volume: 3
  start-page: 519
  year: 1993
  ident: 10.1016/j.ejor.2015.12.018_bib0318
  article-title: A remark on the GOP algorithm for global optimization
  publication-title: Journal of Global Optimization
  doi: 10.1007/BF01096418
– start-page: 235
  year: 1982
  ident: 10.1016/j.ejor.2015.12.018_bib0330
  article-title: Submodular functions and convexity
– ident: 10.1016/j.ejor.2015.12.018_bib0117
– volume: 22
  start-page: 1159
  year: 1998
  ident: 10.1016/j.ejor.2015.12.018_bib0013
  article-title: A global optimization method, αBB, for general twice differentiable NLPs-II. Implementation and computional results
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/S0098-1354(98)00218-X
– volume: 91
  start-page: 201
  year: 2002
  ident: 10.1016/j.ejor.2015.12.018_bib0375
  article-title: Benchmarking derivative-free optimization algorithms
  publication-title: SIAM Journal on Optimization
– volume: 229
  start-page: 4664
  issue: 12
  year: 2010
  ident: 10.1016/j.ejor.2015.12.018_bib0447
  article-title: A method for stochastic constrained optimization using derivative-free surrogate pattern search and collocation
  publication-title: Journal of Computational Physics
  doi: 10.1016/j.jcp.2010.03.005
– volume: 17
  start-page: 943
  issue: 4
  year: 2006
  ident: 10.1016/j.ejor.2015.12.018_bib0285
  article-title: Stationarity results for generating set search for linearly constrained optimization
  publication-title: SIAM Journal on Optimization
  doi: 10.1137/S1052623403433638
– year: 1995
  ident: 10.1016/j.ejor.2015.12.018_bib0172
– volume: 29
  start-page: 2507
  issue: 6
  year: 2007
  ident: 10.1016/j.ejor.2015.12.018_bib0296
  article-title: Implementing generating set search methods for linearly constrained minimization
  publication-title: SIAM Journal on Scientific Computing
  doi: 10.1137/050635432
– volume: 27
  start-page: 1407
  issue: 8
  year: 1988
  ident: 10.1016/j.ejor.2015.12.018_bib0280
  article-title: Global optimization of nonconvex mixed-integer nonlinear programming (MINLP) problems in process synthesis
  publication-title: Industrial & Engineering Chemistry Research
  doi: 10.1021/ie00080a013
– volume: 21
  start-page: 1
  issue: 1
  year: 1996
  ident: 10.1016/j.ejor.2015.12.018_bib0354
  article-title: GLOPEQ: A new computational tool for the phase and chemical equilibrium problem
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/0098-1354(95)00250-2
– volume: 30
  start-page: 367
  issue: 4
  year: 2004
  ident: 10.1016/j.ejor.2015.12.018_bib0021
  article-title: A new class of improved convex underestimators for twice continuously differentiable constrained NLPs
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-004-6455-4
– volume: 27
  start-page: 115
  issue: 2
  year: 2007
  ident: 10.1016/j.ejor.2015.12.018_bib0394
  article-title: A new derivative-free algorithm for the medical image registration problem
  publication-title: International Journal of Modeling and Simulation
  doi: 10.1080/02286203.2007.11442407
– year: 2005
  ident: 10.1016/j.ejor.2015.12.018_bib0390
– volume: 60
  start-page: 123
  issue: 2
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0381
  article-title: Influence ensemble surrogate models and sampling strategy on the solution quality of algorithms for computationally expensive black-box global optimization methods
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-014-0184-0
– volume: 56
  start-page: 917
  issue: 3
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0024
  article-title: A multi-commodity flow formulation for the generalized pooling problem
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-012-9890-7
– volume: 49
  start-page: 4442
  issue: 7
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0166
  article-title: Estimation of plume distribution for carbon sequestration using parameter estimation with limited monitoring data
  publication-title: Water Resources Research
  doi: 10.1002/wrcr.20326
– volume: 26
  start-page: 873
  issue: 4-5
  year: 2011
  ident: 10.1016/j.ejor.2015.12.018_bib0217
  article-title: An active-set trust-region method for derivative-free nonlinear bound-constrained optimization
  publication-title: Optimization Methods and Software
  doi: 10.1080/10556788.2010.549231
– year: 2006
  ident: 10.1016/j.ejor.2015.12.018_bib0309
– year: 2008
  ident: 10.1016/j.ejor.2015.12.018_bib0189
  article-title: Global optimization of deceptive functions with sparse sampling
– volume: 21
  start-page: 1405
  issue: 8-9
  year: 1997
  ident: 10.1016/j.ejor.2015.12.018_bib0339
  article-title: Solving long-term financial planning problems via global optimization
  publication-title: Journal of Economic Dynamics and Control
  doi: 10.1016/S0165-1889(97)00032-8
– volume: 124
  start-page: 263
  issue: 1-2
  year: 2000
  ident: 10.1016/j.ejor.2015.12.018_bib0509
  article-title: Interval mathematics, algebraic equations and optimization
  publication-title: Journal of Computational and Applied Mathematics
  doi: 10.1016/S0377-0427(00)00421-0
– volume: 79
  start-page: 157
  issue: 1
  year: 1993
  ident: 10.1016/j.ejor.2015.12.018_bib0263
  article-title: Lipschitzian optimization without the Lipschitz constant
  publication-title: Journal of Optimization Theory and Applications
  doi: 10.1007/BF00941892
– volume: 121
  start-page: 61
  issue: 1
  year: 2010
  ident: 10.1016/j.ejor.2015.12.018_bib0429
  article-title: Lifting inequalities: a framework for generating strong cuts for nonlinear programs
  publication-title: Mathematical Programming
  doi: 10.1007/s10107-008-0226-9
– volume: 42
  start-page: 64
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0052
  article-title: Global optimization of a MINLP process synthesis model for thermochemical based conversion of hybrid coal, biomass, and natural gas to liquid fuels
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/j.compchemeng.2012.03.008
– volume: 103
  start-page: 225
  year: 2005
  ident: 10.1016/j.ejor.2015.12.018_bib0484
  article-title: A polyhedral branch-and-cut approach to global optimization
  publication-title: Mathematical Programming
  doi: 10.1007/s10107-005-0581-8
– year: 2002
  ident: 10.1016/j.ejor.2015.12.018_bib0482
– volume: 8
  start-page: 273
  issue: 2
  year: 1983
  ident: 10.1016/j.ejor.2015.12.018_bib0023
  article-title: Jointly constrained biconvex programming
  publication-title: Mathematics of Operations Research
  doi: 10.1287/moor.8.2.273
– volume: 22
  start-page: 1137
  year: 1998
  ident: 10.1016/j.ejor.2015.12.018_bib0015
  article-title: A global optimization method, αBB, for general twice differentiable NLPs-I. Theoretical advances
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/S0098-1354(98)00027-1
– volume: 1
  start-page: 322
  issue: 3
  year: 2008
  ident: 10.1016/j.ejor.2015.12.018_bib0002
  article-title: Quantitative object reconstruction using Abel transform X-Ray tomography and mixed variable optimization
  publication-title: The SIAM Journal on Imaging Sciences
  doi: 10.1137/08071380X
– volume: 351
  start-page: 111
  year: 2006
  ident: 10.1016/j.ejor.2015.12.018_bib0097
  article-title: The design of the Boost interval arithmetic library
  publication-title: Theoretical Computer Science
  doi: 10.1016/j.tcs.2005.09.062
– volume: 45
  start-page: 529
  issue: 5
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0426
  article-title: Combining radial basis function surrogates and dynamic coordinate search in high-dimensional expensive black-box optimization
  publication-title: Engineering Optimization
  doi: 10.1080/0305215X.2012.687731
– volume: 137
  start-page: 371
  issue: 1–2
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0271
  article-title: Convex envelopes generated from finitely many compact convex sets
  publication-title: Mathematical Programming
  doi: 10.1007/s10107-011-0496-5
– volume: 58
  start-page: 3370
  issue: 11
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0516
  article-title: Process synthesis for addressing the sustainable energy systems and environmental issues
  publication-title: AIChE Journal
  doi: 10.1002/aic.13914
– volume: 58
  start-page: 2320
  issue: 8
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0168
  article-title: A new approach for global optimization of a class of minlp problems with applications to water management and pooling problems
  publication-title: AIChE Journal
  doi: 10.1002/aic.12754
– ident: 10.1016/j.ejor.2015.12.018_bib0209
– volume: 58
  start-page: 411
  issue: 3
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0467
  article-title: New methods for calculating αBB-type underestimators
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-013-0057-y
– year: 2005
  ident: 10.1016/j.ejor.2015.12.018_bib0393
– volume: 21
  start-page: 107
  issue: 1
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0472
  article-title: An intelligent multi-restart memetic algorithm for box constrained global optimisation
  publication-title: Evolutionary Computation
  doi: 10.1162/EVCO_a_00068
– volume: 15
  start-page: 4
  issue: 1
  year: 2011
  ident: 10.1016/j.ejor.2015.12.018_bib0141
  article-title: Differential evolution: A survey of the state-of-the-art
  publication-title: IEEE Transactions on Evolutionary Computation
  doi: 10.1109/TEVC.2010.2059031
– volume: 47
  start-page: 6101
  issue: 16
  year: 2008
  ident: 10.1016/j.ejor.2015.12.018_bib0143
  article-title: A kriging-based approach to MINLP containing black-box models and noise
  publication-title: Industrial & Engineering Chemistry Research
  doi: 10.1021/ie800028a
– ident: 10.1016/j.ejor.2015.12.018_bib0163
– year: 1992
  ident: 10.1016/j.ejor.2015.12.018_bib0180
– volume: 13
  start-page: 2467
  year: 2003
  ident: 10.1016/j.ejor.2015.12.018_bib0374
  article-title: Parameter estimation in biochemical pathways: A comparison of global optimization methods
  publication-title: Genome Research
  doi: 10.1101/gr.1262503
– volume: 44
  start-page: 509
  issue: 4
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0497
  article-title: An informational approach to the global optimization of expensive-to-evaluate functions
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-008-9354-2
– volume: 50
  start-page: 7414
  issue: 12
  year: 2011
  ident: 10.1016/j.ejor.2015.12.018_bib0241
  article-title: Preliminary synthesis of fuel gas networks to conserve energy and preserve the environment
  publication-title: Industrial & Engineering Chemistry Research
  doi: 10.1021/ie200280m
– volume: 24
  start-page: 485
  issue: 4-5
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0057
  article-title: Multiterm polyhedral relaxations for nonconvex, quadratically-constrained quadratic programs
  publication-title: Optimization Methods and Software
  doi: 10.1080/10556780902883184
– volume: 29
  start-page: 467
  issue: 3
  year: 2005
  ident: 10.1016/j.ejor.2015.12.018_bib0121
  article-title: Optimization of metabolic pathways under stability considerations
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/j.compchemeng.2004.08.013
– volume: 22
  start-page: 191
  year: 1988
  ident: 10.1016/j.ejor.2015.12.018_bib0475
  article-title: On a class of functions attaining their maximum at the vertices of a polyhedron
  publication-title: Discrete Applied Mathematics
  doi: 10.1016/0166-218X(88)90093-5
– volume: 15
  start-page: 627
  issue: 6
  year: 1994
  ident: 10.1016/j.ejor.2015.12.018_bib0360
  article-title: Direct search methods for the molecular conformation problem
  publication-title: Journal of Computational Chemistry
  doi: 10.1002/jcc.540150606
– volume: 5
  start-page: 253
  issue: 3
  year: 1994
  ident: 10.1016/j.ejor.2015.12.018_bib0157
  article-title: The cluster problem in multivariate global optimization
  publication-title: Journal of Global Optimization
  doi: 10.1007/BF01096455
– volume: 28
  start-page: 770
  issue: 4
  year: 2008
  ident: 10.1016/j.ejor.2015.12.018_bib0132
  article-title: Using simplex gradients of nonsmooth functions in direct search methods
  publication-title: IMA Journal of Numerical Analysis
  doi: 10.1093/imanum/drn045
– volume: 57
  start-page: 1147
  issue: 4
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0135
  article-title: Theoretical filtering of RLT bound-factor constraints for solving polynomial programming problems to global optimality
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-012-0024-z
– volume: 81
  start-page: 1192
  issue: 6
  year: 2003
  ident: 10.1016/j.ejor.2015.12.018_bib0242
  article-title: Catalytic combustion kinetics: Using a direct search algorithm to evaluate kinetic parameters from light-off curves
  publication-title: The Canadian Journal of Chemical Engineering
  doi: 10.1002/cjce.5450810608
– volume: 57
  start-page: 115
  issue: 1
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0334
  article-title: A reformulation framework for global optimization
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-012-9877-4
– year: 2001
  ident: 10.1016/j.ejor.2015.12.018_bib0196
– volume: 56
  start-page: 1247
  issue: 3
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0432
  article-title: Derivative-free optimization: a review of algorithms and comparison of software implementations
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-012-9951-y
– volume: 24
  start-page: 597
  issue: 4–5
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0066
  article-title: Branching and bounds tightening techniques for non-convex MINLP
  publication-title: Optimization Methods and Software
  doi: 10.1080/10556780903087124
– volume: 25
  start-page: 157
  year: 2003
  ident: 10.1016/j.ejor.2015.12.018_bib0311
  article-title: Convex envelopes of monomials of odd degree
  publication-title: Journal of Global Optimization
  doi: 10.1023/A:1021924706467
– volume: 46
  start-page: 218
  issue: 2
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0421
  article-title: Constrained optimization by radial basis function interpolation for high-dimensional expensive black-box problems with infeasible initial points
  publication-title: Engineering Optimization
  doi: 10.1080/0305215X.2013.765000
– volume: 63
  start-page: 376
  issue: 2
  year: 2008
  ident: 10.1016/j.ejor.2015.12.018_bib0485
  article-title: LP-based solution strategies for the optimal design of industrial water networks with multiple contaminants
  publication-title: Chemical Engineering Science
  doi: 10.1016/j.ces.2007.09.033
– volume: 30
  start-page: 54
  issue: 1
  year: 2005
  ident: 10.1016/j.ejor.2015.12.018_bib0114
  article-title: Optimization of block layout design problems with unequal areas: A comparison of MILP and MINLP optimization methods
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/j.compchemeng.2005.07.012
– volume: 37
  start-page: 315
  issue: 2
  year: 2010
  ident: 10.1016/j.ejor.2015.12.018_bib0160
  article-title: An evolutionary method for complex-process optimization
  publication-title: Computers & Operations Research
  doi: 10.1016/j.cor.2009.05.003
– volume: 136
  start-page: 155
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0364
  article-title: Global optimization of mixed-integer quadratically-constrained quadratic programs (MIQCQP) through piecewise-linear and edge-concave relaxations
  publication-title: Mathematical Programming B
  doi: 10.1007/s10107-012-0555-6
– volume: 44
  start-page: 1147
  issue: 10
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0402
  article-title: Infill sampling criteria for surrogate-based optimization with constraint handling
  publication-title: Engineering Optimization
  doi: 10.1080/0305215X.2011.637556
– volume: 145
  start-page: 289
  issue: 2
  year: 2010
  ident: 10.1016/j.ejor.2015.12.018_bib0274
  article-title: Decomposition-based method for sparse semidefinite relaxations of polynomial optimization problems
  publication-title: Journal of Optimization Theory and Applications
  doi: 10.1007/s10957-009-9624-2
– volume: 7
  start-page: 443
  issue: 3
  year: 2011
  ident: 10.1016/j.ejor.2015.12.018_bib0243
  article-title: DIRECT using local search on surrogates
  publication-title: Pacific Journal of Optimization
– volume: 89
  start-page: 2428
  issue: 1
  year: 2011
  ident: 10.1016/j.ejor.2015.12.018_bib0376
  article-title: Using evolutionary search to optimise the energy consumption for natural gas liquefaction
  publication-title: Chemical Engineering Research and Design
  doi: 10.1016/j.cherd.2011.03.002
– ident: 10.1016/j.ejor.2015.12.018_bib0520
– year: 2004
  ident: 10.1016/j.ejor.2015.12.018_bib0184
– volume: 53
  start-page: 122
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0287
  article-title: A discretization-based approach for the optimization of the multiperiod blend scheduling problem
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/j.compchemeng.2013.01.016
– volume: 19
  start-page: 551
  issue: 5
  year: 1995
  ident: 10.1016/j.ejor.2015.12.018_bib0442
  article-title: Global optimization of nonconvex NLPs and MINLPs with applications in process design
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/0098-1354(94)00097-2
– volume: 58
  start-page: 429
  issue: 3
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0504
  article-title: The cluster problem revisited
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-013-0059-9
– volume: 45
  start-page: 53
  issue: 1
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0003
  article-title: An efficient class of direct search surrogate methods for solving expensive optimization problems with CPU-time-related functions
  publication-title: Structural and Multidisciplinary Optimization
  doi: 10.1007/s00158-011-0658-3
– volume: 45
  start-page: 50
  issue: 1
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_sbref0180
  article-title: Recent advances in surrogate-based optimization
  publication-title: Progress in Aerospace Sciences
  doi: 10.1016/j.paerosci.2008.11.001
– volume: 43
  start-page: 191
  issue: 2–3
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0144
  article-title: A kriging based method for the solution of mixed-integer nonlinear programs containing black-box functions
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-007-9217-2
– volume: 28
  start-page: 1233
  issue: 6
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0198
  article-title: On sequential and parallel non-monotone derivative-free algorithms for box constrained optimization
  publication-title: Optimization Methods and Software
  doi: 10.1080/10556788.2012.693926
– volume: 8
  start-page: 42
  issue: 1
  year: 1965
  ident: 10.1016/j.ejor.2015.12.018_bib0093
  article-title: A new method of constrained optimization and a comparison with other methods
  publication-title: Computer Journal
  doi: 10.1093/comjnl/8.1.42
– volume: 63
  start-page: 108
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0347
  article-title: PGS-COM: A hybrid method for constrained non-smooth black-box optimization problems: Brief review, novel algorithm and comparative evaluation
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/j.compchemeng.2013.12.014
– volume: 21
  start-page: 87
  issue: 6–7
  year: 1991
  ident: 10.1016/j.ejor.2015.12.018_bib0400
  article-title: Global optimization algorithms for linearly constrained indefinite quadratic problems
  publication-title: Computers & Mathematics with Applications
  doi: 10.1016/0898-1221(91)90163-X
– volume: 11
  start-page: 501
  issue: 4
  year: 2010
  ident: 10.1016/j.ejor.2015.12.018_bib0258
  article-title: A method for simulation based optimization using radial basis functions
  publication-title: Optimization and Engineering
  doi: 10.1007/s11081-009-9087-1
– volume: 80
  start-page: 21
  issue: 1
  year: 2007
  ident: 10.1016/j.ejor.2015.12.018_bib0259
  article-title: Optimization of hybrid thermoplastic composite structures using surrogate models and genetic algorithms
  publication-title: Composite Structures
  doi: 10.1016/j.compstruct.2006.02.036
– volume: 20
  start-page: 133
  year: 2001
  ident: 10.1016/j.ejor.2015.12.018_bib0480
  article-title: Semidefinite relaxations of fractional programs via novel convexification techniques
  publication-title: Journal of Global Optimization
  doi: 10.1023/A:1011233805045
– volume: Vol. 356
  year: 2011
  ident: 10.1016/j.ejor.2015.12.018_bib0288
– volume: 30
  start-page: 15
  issue: 1
  year: 2015
  ident: 10.1016/j.ejor.2015.12.018_bib0405
  article-title: Validation of nominations in gas network optimization: models, methods, and solutions
  publication-title: Optimization Methods and Software
  doi: 10.1080/10556788.2014.888426
– start-page: 65
  year: 2003
  ident: 10.1016/j.ejor.2015.12.018_bib0096
  article-title: The Boost interval arithmetic library
– ident: 10.1016/j.ejor.2015.12.018_bib0437
– volume: 59
  start-page: 633
  issue: 2-3
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0487
  article-title: Multivariate McCormick relaxations
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-014-0176-0
– volume: 76
  start-page: 246
  issue: 3
  year: 1998
  ident: 10.1016/j.ejor.2015.12.018_bib0098
  article-title: A rigorous MINLP model for the optimal synthesis and operation of utility plants
  publication-title: Chemical Engineering Research and Design
  doi: 10.1205/026387698524901
– volume: 5
  start-page: 269
  issue: 2
  year: 1995
  ident: 10.1016/j.ejor.2015.12.018_bib0206
  article-title: An implicit filtering algorithm for optimization of functions with many local minima
  publication-title: SIAM Journal on Optimization
  doi: 10.1137/0805015
– volume: 6
  start-page: 267
  issue: 1
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0050
  article-title: Biomass to liquid transportation fuels (BTL) systems: Process synthesis and global optimization framework
  publication-title: Energy & Environmental Science
  doi: 10.1039/C2EE23369J
– volume: 60
  start-page: 199
  issue: 1
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0386
  article-title: A trust-region-based derivative free algorithm for mixed integer programming
  publication-title: Computational Optimization and Applications
  doi: 10.1007/s10589-014-9660-1
– volume: 125
  start-page: 123
  issue: 1
  year: 2010
  ident: 10.1016/j.ejor.2015.12.018_bib0113
  article-title: Global optimization problems and domain reduction strategies
  publication-title: Mathematical Programming
  doi: 10.1007/s10107-008-0263-4
– volume: 71
  start-page: 636
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0395
  article-title: Municipal solid waste to liquid transportation fuels part I: Mathematical modeling of a municipal solid waste gasifier
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/j.compchemeng.2014.03.008
– volume: 38
  start-page: 837
  issue: 5
  year: 2011
  ident: 10.1016/j.ejor.2015.12.018_bib0420
  article-title: Stochastic radial basis function algorithms for large-scale optimization involving expensive black-box objective and constraint functions
  publication-title: Computers & Operations Research
  doi: 10.1016/j.cor.2010.09.013
– volume: 22
  start-page: 385
  issue: 4
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0147
  article-title: A branch-and-cut approach to portfolio selection with marginal risk control in a linear conic programming framework
  publication-title: Journal of Systems Science and Systems Engineering
  doi: 10.1007/s11518-013-5234-5
– start-page: 2114
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0498
  article-title: MINLP: Applications in blending and pooling
– volume: 78
  start-page: 187
  issue: 2
  year: 1993
  ident: 10.1016/j.ejor.2015.12.018_bib0188
  article-title: Primal-relaxed dual global optimization approach
  publication-title: Journal of Optimization Theory and Applications
  doi: 10.1007/BF00939667
– year: 1990
  ident: 10.1016/j.ejor.2015.12.018_bib0385
– volume: 97
  start-page: 7667
  issue: 10
  year: 1992
  ident: 10.1016/j.ejor.2015.12.018_bib0340
  article-title: A global optimization approach for Lennard-Jones microclusters
  publication-title: Journal of Chemical Physics
  doi: 10.1063/1.463486
– volume: 36
  start-page: 1267
  issue: 5
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0086
  article-title: Multiphase mixed-integer optimal control approach to aircraft trajectory optimization
  publication-title: Journal of Guidance, Control, and Dynamics
  doi: 10.2514/1.60492
– volume: 33
  start-page: 313
  year: 2005
  ident: 10.1016/j.ejor.2015.12.018_bib0112
  article-title: Decomposition methods for solving nonconvex quadratic programs via branch and bound
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-004-6095-8
– volume: 42
  start-page: 51
  issue: 1
  year: 2008
  ident: 10.1016/j.ejor.2015.12.018_bib0212
  article-title: Tight convex underestimators for C2-continuous problems: I. Univariate functions
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-008-9287-9
– volume: 28
  start-page: 1763
  issue: 14–15
  year: 2008
  ident: 10.1016/j.ejor.2015.12.018_bib0150
  article-title: Synthesis of heat exchanger networks using genetic algorithms
  publication-title: Applied Thermal Engineering
  doi: 10.1016/j.applthermaleng.2007.11.014
– volume: 40
  start-page: 2260
  issue: 10
  year: 2001
  ident: 10.1016/j.ejor.2015.12.018_bib0104
  article-title: Generalized disjunctive programming model for the optimal synthesis of thermally linked distillation columns
  publication-title: Industrial & Engineering Chemistry Research
  doi: 10.1021/ie000761a
– volume: 20
  start-page: 190
  issue: 1
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0292
  article-title: Optimizing radial basis functions by D.C. programming and its use in direct search for global derivative-free optimization
  publication-title: TOP
  doi: 10.1007/s11750-011-0193-9
– volume: 15
  start-page: 114
  issue: 1
  year: 2003
  ident: 10.1016/j.ejor.2015.12.018_bib0102
  article-title: MINLPLib - a collection of test models for mixed-integer nonlinear programming
  publication-title: INFORMS Journal on Computing
  doi: 10.1287/ijoc.15.1.114.15159
– volume: 21
  start-page: 119
  issue: 2
  year: 2002
  ident: 10.1016/j.ejor.2015.12.018_bib0332
  article-title: A derivative-free algorithm for bound constrained optimization
  publication-title: Computational Optimization and Applications
  doi: 10.1023/A:1013735414984
– volume: 56
  start-page: 939
  issue: 3
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0440
  article-title: Large-scale standard pooling problems with constrained pools and fixed demands
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-012-9869-4
– start-page: 321
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0203
  article-title: A new algorithm for MINLP applied to gas transport energy cost minimization
– volume: 53
  start-page: 7489
  issue: 18
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0237
  article-title: Nationwide, regional, and statewide CO2 capture, utilization, and sequestration supply chain network optimization
  publication-title: Industrial & Engineering Chemistry Research
  doi: 10.1021/ie402931c
– volume: 15
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0327
– volume: 48
  start-page: 1973
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0406
  article-title: Convex hull discretization approach to the global optimization of pooling problems
  publication-title: Industrial & Engineering Chemistry Research
  doi: 10.1021/ie8003573
– volume: 38
  start-page: 341
  issue: 5
  year: 2010
  ident: 10.1016/j.ejor.2015.12.018_bib0137
  article-title: On interval-subgradient and no-good cuts
  publication-title: Operations Research Letters
  doi: 10.1016/j.orl.2010.05.010
– volume: 32
  start-page: 221
  issue: 2
  year: 2005
  ident: 10.1016/j.ejor.2015.12.018_bib0358
  article-title: Convex underestimation of twice continuously differentiable functions by piecewise quadratic perturbation: Spline αBB underestimators
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-004-2704-9
– volume: 49
  start-page: 1037
  issue: 7
  year: 1994
  ident: 10.1016/j.ejor.2015.12.018_bib0283
  article-title: Optimization of complex reactor networks–II. Nonisothermal operation.
  publication-title: Chemical Engineering Science
  doi: 10.1016/0009-2509(94)80010-3
– volume: 60
  start-page: 1767
  issue: 5
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0170
  article-title: Discovery of novel zeolites for natural gas purification through combined material screening and process optimization
  publication-title: AIChE Journal
  doi: 10.1002/aic.14441
– volume: 43
  start-page: 471
  issue: 2–3
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0029
  article-title: Semidefinite programming versus the reformulation-linearization technique for nonconvex quadratically constrained quadratic programming
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-008-9372-0
– ident: 10.1016/j.ejor.2015.12.018_bib0412
– volume: 14
  start-page: 631
  issue: 6
  year: 1990
  ident: 10.1016/j.ejor.2015.12.018_bib0017
  article-title: Synthesis of general distillation sequences - nonsharp separations
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/0098-1354(90)87033-L
– volume: 131
  start-page: 273
  issue: 1-2
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0305
  article-title: Reformulations in mathematical programming: automatic symmetry detection and exploitation
  publication-title: Mathematical Programming
  doi: 10.1007/s10107-010-0351-0
– volume: 49
  start-page: 467
  issue: 3
  year: 2011
  ident: 10.1016/j.ejor.2015.12.018_bib0042
  article-title: The small hexagon and heptagon with maximum sum of distances between vertices
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-010-9572-2
– volume: 5
  start-page: 449
  issue: 3
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0194
  article-title: Mathematical optimization for challenging network planning problems in unbundled liberalized gas markets
  publication-title: Energy Systems
  doi: 10.1007/s12667-013-0099-8
– volume: 2
  start-page: 363
  year: 2008
  ident: 10.1016/j.ejor.2015.12.018_bib0477
  article-title: Existence and sum decomposition of vertex polyhedral convex envelopes
  publication-title: Optimization Letters
  doi: 10.1007/s11590-007-0065-2
– ident: 10.1016/j.ejor.2015.12.018_bib0108
– ident: 10.1016/j.ejor.2015.12.018_bib0407
  doi: 10.2172/1000278
– volume: 21, Supplement
  start-page: S791
  year: 1997
  ident: 10.1016/j.ejor.2015.12.018_bib0469
  article-title: Global optimisation of nonconvex MINLPs
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/S0098-1354(97)00146-4
– volume: 62
  start-page: 161
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0233
  article-title: Scope for industrial applications of production scheduling models and solution methods
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/j.compchemeng.2013.12.001
– volume: 4
  start-page: 245
  issue: 4
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0164
  article-title: A decomposition approach for a new test-scenario in complex problem solving
  publication-title: Journal of Computer Science
  doi: 10.1016/j.jocs.2012.06.005
– volume: 24
  start-page: 1980
  issue: 4
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0218
  article-title: A merit function approach for direct search
  publication-title: SIAM Journal on Optimization
  doi: 10.1137/130917661
– volume: 34
  start-page: 409
  issue: 3
  year: 2006
  ident: 10.1016/j.ejor.2015.12.018_bib0199
  article-title: A combined global and local search (CGLS) approach to global optimization
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-005-3249-2
– ident: 10.1016/j.ejor.2015.12.018_bib0136
  doi: 10.1007/s11081-011-9141-7
– year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0148
  article-title: A derivative-free algorithm for constrained global optimization based on exact penalty functions
  publication-title: Journal of Optimization Theory and Applications
– volume: 14
  start-page: 3
  issue: 1
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0016
  article-title: A trust-region framework for constrained optimization using reduced order modeling
  publication-title: Optimization and Engineering
  doi: 10.1007/s11081-011-9164-0
– volume: 41
  start-page: 1798
  issue: 7
  year: 1995
  ident: 10.1016/j.ejor.2015.12.018_bib0353
  article-title: Global optimization for the phase stability problem
  publication-title: AIChE Journal
  doi: 10.1002/aic.690410715
– volume: 43
  start-page: 3817
  issue: 14
  year: 2004
  ident: 10.1016/j.ejor.2015.12.018_bib0277
  article-title: Design of peptide analogues with improved activity using a novel de novo protein design approach
  publication-title: Industrial & Engineering Chemistry Research
  doi: 10.1021/ie0340995
– volume: 40
  start-page: 1383
  issue: 5
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0382
  article-title: SO-MI: A surrogate model algorithm for computationally expensive nonlinear mixed-integer black-box global optimization problems
  publication-title: Computers & Operations Research
  doi: 10.1016/j.cor.2012.08.022
– volume: 11
  start-page: 317
  issue: 3
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0363
  article-title: Global optimization of mixed-integer models with quadratic and signomial functions: A review
  publication-title: Applied and Computational Mathematics
– volume: 275
  start-page: 51
  year: 1994
  ident: 10.1016/j.ejor.2015.12.018_bib0410
  article-title: A direct search optimization method that models the objective and constraint functions by linear interpolation
– volume: 41
  start-page: 370
  issue: 4
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0324
  article-title: Computing the value of the convex envelope of quadratic forms over polytopes through a semidefinite program
  publication-title: Operations Research Letters
  doi: 10.1016/j.orl.2013.04.004
– volume: 75
  start-page: 183
  issue: 253
  year: 2006
  ident: 10.1016/j.ejor.2015.12.018_bib0441
  article-title: Global optimization of explicit strong-stability-preserving Runge-Kutta methods
  publication-title: Mathematics of Computation
  doi: 10.1090/S0025-5718-05-01772-2
– volume: 33
  start-page: 42
  issue: 1
  year: 2005
  ident: 10.1016/j.ejor.2015.12.018_bib0011
  article-title: Branching rules revisited
  publication-title: Operations Research Letters
  doi: 10.1016/j.orl.2004.04.002
– start-page: 25
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0080
  article-title: Comparing MIQCP solvers to a specialised algorithm for mine production scheduling
– volume: 139
  start-page: 124703
  issue: 12
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0210
  article-title: Estimation of diffusion anisotropy in microporous crystalline materials and optimization of crystal orientation in membranes
  publication-title: Journal of Chemical Physics
  doi: 10.1063/1.4821583
– volume: 53
  start-page: 17002
  issue: 44
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0389
  article-title: Coal and biomass to liquid transportation fuels: Process synthesis and global optimization strategies
  publication-title: Industrial & Engineering Chemistry Research
  doi: 10.1021/ie500505h
– volume: 154
  start-page: 349
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0337
  article-title: Global optimization of mixed-integer signomial programming problems
– volume: 2
  start-page: 379
  year: 1992
  ident: 10.1016/j.ejor.2015.12.018_bib0462
  article-title: A new reformulation-linearization technique for bilinear programming problems
  publication-title: Journal of Global Optimization
  doi: 10.1007/BF00122429
– volume: 57
  start-page: 3
  issue: 1
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0365
  article-title: GloMIQO: Global Mixed-Integer Quadratic Optimizer
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-012-9874-7
– year: 2003
  ident: 10.1016/j.ejor.2015.12.018_bib0517
– volume: 23
  start-page: 721
  issue: 2
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0228
  article-title: Solving mixed integer bilinear problems using MILP formulations
  publication-title: SIAM Journal on Optimization
  doi: 10.1137/110836183
– volume: 59
  start-page: 503
  issue: 2–3
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0366
  article-title: ANTIGONE: Algorithms for coNTinuous Integer Global Optimization of Nonlinear Equations
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-014-0166-2
– volume: 8
  start-page: 3
  issue: 1
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0361
  article-title: Advances for the pooling problem: Modeling, global optimization, and computational studies
  publication-title: Applied and Computational Mathematics
– volume: 29
  start-page: 406
  issue: 2
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0510
  article-title: A surrogate-based optimization method with RBF neural network enhanced by linear interpolation and hybrid infill strategy
  publication-title: Optimization Methods and Software
  doi: 10.1080/10556788.2013.777722
– volume: 6655
  start-page: 117
  year: 2011
  ident: 10.1016/j.ejor.2015.12.018_bib0139
  article-title: Valid inequalities for the pooling problem with binary variables
– volume: 6
  start-page: 39
  issue: 1
  year: 1995
  ident: 10.1016/j.ejor.2015.12.018_bib0417
  article-title: A global optimization algorithm for linear fractional and bilinear programs
  publication-title: Journal of Global Optimization
  doi: 10.1007/BF01106605
– volume: 161
  start-page: 506
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0474
  article-title: Algorithms for an integer multicommodity network flow problem with node reliability considerations
  publication-title: Journal of Optimization Theory and Applications
  doi: 10.1007/s10957-013-0378-5
– volume: 5
  start-page: 186
  issue: 2
  year: 2008
  ident: 10.1016/j.ejor.2015.12.018_bib0085
  article-title: An algorithmic framework for convex mixed integer nonlinear programs
  publication-title: Discrete Optimization
  doi: 10.1016/j.disopt.2006.10.011
– year: 2006
  ident: 10.1016/j.ejor.2015.12.018_bib0450
– volume: 160
  start-page: 121
  issue: 1
  year: 2005
  ident: 10.1016/j.ejor.2015.12.018_bib0095
  article-title: Constrained optimization involving expensive function evaluations: A sequential approach
  publication-title: European Journal of Operational Research
  doi: 10.1016/j.ejor.2003.10.009
– volume: 21
  start-page: 311
  issue: 3
  year: 2002
  ident: 10.1016/j.ejor.2015.12.018_bib0059
  article-title: Using DIRECT to solve an aircraft routing problem
  publication-title: Computational Optimization and Applications
  doi: 10.1023/A:1013729320435
– volume: 48
  start-page: 5742
  issue: 12
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0214
  article-title: Computational comparison of piecewise-linear relaxations for pooling problems
  publication-title: Industrial & Engineering Chemistry Research
  doi: 10.1021/ie8016048
– volume: 83
  start-page: 248
  year: 2006
  ident: 10.1016/j.ejor.2015.12.018_bib0433
  article-title: A hybrid approach for efficient and robust parameter estimation in biochemical pathways
  publication-title: Biosystems
  doi: 10.1016/j.biosystems.2005.06.016
– volume: 52
  start-page: 447
  issue: 3
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0459
  article-title: Reduced RLT representations for nonconvex polynomial programming problems
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-011-9757-3
– volume: 2009
  start-page: 22
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0248
  article-title: A literature review on circle and sphere packing problems: Models and methodologies
  publication-title: Advances in Operations Research
  doi: 10.1155/2009/150624
– volume: 10
  start-page: 425
  year: 1997
  ident: 10.1016/j.ejor.2015.12.018_bib0430
  article-title: A convex envelope formula for multilinear functions
  publication-title: Journal of Global Optimization
  doi: 10.1023/A:1008217604285
– volume: 24
  start-page: 643
  issue: 2
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0078
  article-title: Cutting-planes for optimization of convex functions over nonconvex sets
  publication-title: The SIAM Journal on Optimization
  doi: 10.1137/120878963
– volume: 52
  start-page: 1
  issue: 1
  year: 2011
  ident: 10.1016/j.ejor.2015.12.018_bib0082
  article-title: Convergence rate of McCormick relaxations
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-011-9685-2
– volume: 28
  start-page: 2391
  issue: 11
  year: 2004
  ident: 10.1016/j.ejor.2015.12.018_bib0398
  article-title: On the synthesis and optimization of liquid-liquid extraction processes using stochastic search methods
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/j.compchemeng.2004.06.008
– volume: 96
  start-page: 293
  year: 2003
  ident: 10.1016/j.ejor.2015.12.018_bib0403
  article-title: Semidefinite programming relaxations for semialgebraic problems
  publication-title: Mathematical Programming
  doi: 10.1007/s10107-003-0387-5
– volume: 290
  start-page: 26
  year: 2015
  ident: 10.1016/j.ejor.2015.12.018_bib0031
  article-title: Inexact restoration method for nonlinear optimization without derivatives
  publication-title: Journal of Computational and Applied Mathematics
  doi: 10.1016/j.cam.2015.04.047
– volume: 3
  start-page: 35
  issue: 1
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0005
  article-title: Mesh adaptive direct search algorithms for mixed variable optimization
  publication-title: Optimization Letters
  doi: 10.1007/s11590-008-0089-2
– volume: 30
  start-page: 365
  issue: 2
  year: 2015
  ident: 10.1016/j.ejor.2015.12.018_bib0326
  article-title: Alternative branching rules for some nonconvex problems
  publication-title: Optimization Methods and Software
  doi: 10.1080/10556788.2014.885521
– ident: 10.1016/j.ejor.2015.12.018_bib0413
– volume: 29
  start-page: 1185
  year: 2005
  ident: 10.1016/j.ejor.2015.12.018_bib0175
  article-title: Global optimization in the 21st century: Advances and challenges.
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/j.compchemeng.2005.02.006
– volume: 287
  start-page: 111
  issue: 2
  year: 2010
  ident: 10.1016/j.ejor.2015.12.018_bib0088
  article-title: Evaluation of stochastic global optimization methods for modeling vapor-liquid equilibrium data
  publication-title: Fluid Phase Equilibria
  doi: 10.1016/j.fluid.2009.09.021
– start-page: 327
  year: 2003
  ident: 10.1016/j.ejor.2015.12.018_bib0355
  article-title: Trilinear monomials with positive or negative domains: Facets of the convex and concave envelopes
– volume: 29
  start-page: 165
  issue: 2
  year: 2003
  ident: 10.1016/j.ejor.2015.12.018_bib0246
  article-title: GloptiPoly: Global optimization over polynomials with Matlab and SeDuMi
  publication-title: ACM Transactions on Mathematical Software
  doi: 10.1145/779359.779363
– volume: 20
  start-page: 609
  issue: 4
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0397
  article-title: Black box optimization benchmarking of the GLOBAL method
  publication-title: Evolutionary Computation
  doi: 10.1162/EVCO_a_00089
– volume: 15
  start-page: 17601
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0239
  article-title: Cost-effective CO2 capture based on in silico screening of zeolites and process optimization
  publication-title: Physical Chemistry Chemical Physics
  doi: 10.1039/c3cp53627k
– volume: 220
  start-page: 324
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0126
  article-title: Global convergence of trust-region algorithms for convex constrained minimization without derivatives
  publication-title: Applied Mathematics and Computation
  doi: 10.1016/j.amc.2013.06.041
– volume: 22
  start-page: 245
  issue: 1
  year: 1997
  ident: 10.1016/j.ejor.2015.12.018_bib0460
  article-title: Convex envelopes of multilinear functions over a unit hypercube and over special discrete sets
  publication-title: Acta Mathematica Vietnamica
– start-page: 501
  year: 2004
  ident: 10.1016/j.ejor.2015.12.018_bib0022
  article-title: The role of the off-diagonal elements of the Hessian matrix in the construction of tight convex underestimators for nonconvex functions
– volume: 344
  start-page: 219
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0134
  article-title: Structural optimization of seawater desalination: II novel MED MSF TVC configurations
  publication-title: Desalination
  doi: 10.1016/j.desal.2014.03.026
– volume: 32
  start-page: 477
  issue: 3
  year: 2008
  ident: 10.1016/j.ejor.2015.12.018_bib0070
  article-title: An improved piecewise outer-approximation algorithm for the global optimization of MINLP models involving concave and bilinear terms
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/j.compchemeng.2007.03.011
– start-page: 237
  year: 2003
  ident: 10.1016/j.ejor.2015.12.018_bib0265
  article-title: Exact computation of global minima of a nonconvex portfolio optimization problem
– volume: 24
  start-page: 505
  issue: 4-5
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0336
  article-title: Convex underestimation strategies for signomial functions
  publication-title: Optimization Methods and Software
  doi: 10.1080/10556780802702278
– volume: 7276
  start-page: 75
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0110
  article-title: Compact relaxations for polynomial programming problems
– volume: 7
  start-page: 337
  year: 1995
  ident: 10.1016/j.ejor.2015.12.018_bib0026
  article-title: αBB: A global optimization method for general constrained nonconvex problems
  publication-title: Journal of Global Optimization
  doi: 10.1007/BF01099647
– volume: 151
  start-page: 121
  issue: 2
  year: 2003
  ident: 10.1016/j.ejor.2015.12.018_bib0279
  article-title: A new class of hybrid global optimization algorithms for peptide structure prediction: integrated hybrids
  publication-title: Computer Physics Communications
  doi: 10.1016/S0010-4655(02)00735-X
– year: 2011
  ident: 10.1016/j.ejor.2015.12.018_bib0269
– volume: 13
  start-page: 219
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0094
  article-title: On the optimal design of water distribution networks: A practical MINLP approach
  publication-title: Optimization and Engineering
  doi: 10.1007/s11081-011-9141-7
– start-page: 1
  year: 2015
  ident: 10.1016/j.ejor.2015.12.018_bib0320
  article-title: Exploiting derivative-free local searches in direct-type algorithms for global optimization
  publication-title: Computational Optimization and Applications
– volume: 32
  start-page: 262
  year: 2011
  ident: 10.1016/j.ejor.2015.12.018_bib0153
  article-title: Rigorous enclosures of ellipsoids and directed cholesky factorizations
  publication-title: SIAM Journal on Matrix Analysis and Applications
  doi: 10.1137/090778110
– volume: 29
  start-page: 442
  issue: 3
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0522
  article-title: Global optimization of general non-convex problems with intermediate bilinear substructures
  publication-title: Optimization Methods and Software
  doi: 10.1080/10556788.2013.783032
– volume: 58
  start-page: 1
  issue: 1
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0503
  article-title: Global optimization of bounded factorable functions with discontinuities
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-013-0060-3
– year: 1996
  ident: 10.1016/j.ejor.2015.12.018_bib0182
– volume: 47
  start-page: 29
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0053
  article-title: Process synthesis of hybrid coal, biomass, and natural gas to liquids via Fischer-Tropsch synthesis, ZSM-5 catalytic conversion, methanol synthesis, methanol-to-gasoline, and methanol-to-olefins/distillate technologies
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/j.compchemeng.2012.06.032
– volume: 56
  start-page: 1217
  issue: 3
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0349
  article-title: Constrained derivative-free optimization on thin domains
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-012-9944-x
– volume: 25
  start-page: 131
  year: 1995
  ident: 10.1016/j.ejor.2015.12.018_bib0156
  article-title: Global optimization algorithms for chip layout and compaction
  publication-title: Engineering Optimization
  doi: 10.1080/03052159508941259
– volume: 3
  start-page: 349
  year: 2011
  ident: 10.1016/j.ejor.2015.12.018_bib0310
  article-title: A recipe for finding good solutions to MINLPs
  publication-title: Mathematical Programming Computation
  doi: 10.1007/s12532-011-0031-y
– volume: 28
  start-page: 364
  issue: 2
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0204
  article-title: The travelling salesman problem with neighbourhoods: MINLP solution
  publication-title: Optimization Methods and Software
  doi: 10.1080/10556788.2011.648932
– year: 2002
  ident: 10.1016/j.ejor.2015.12.018_bib0192
– volume: 49
  start-page: 4475
  issue: 10
  year: 2010
  ident: 10.1016/j.ejor.2015.12.018_bib0260
  article-title: Review of water network design methods with literature annotations
  publication-title: Industrial & Engineering Chemistry Research
  doi: 10.1021/ie901632w
– volume: 9
  start-page: 311
  issue: 4
  year: 2008
  ident: 10.1016/j.ejor.2015.12.018_bib0252
  article-title: An adaptive radial basis algorithm (ARBF) for expensive black-box mixed-integer constrained global optimization
  publication-title: Optimization and Engineering
  doi: 10.1007/s11081-008-9037-3
– volume: 154
  start-page: 462
  issue: 2
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0468
  article-title: A generalization of the classical αBB convex underestimation via diagonal and nondiagonal quadratic terms
  publication-title: Journal of Optimization Theory and Applications
  doi: 10.1007/s10957-012-0033-6
– volume: 46
  start-page: 93
  issue: 1
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0343
  article-title: Constrained multifidelity optimization using model calibration
  publication-title: Structural and Multidisciplinary Optimization
  doi: 10.1007/s00158-011-0749-1
– volume: 53
  start-page: 2659
  issue: 10
  year: 2007
  ident: 10.1016/j.ejor.2015.12.018_bib0300
  article-title: Improving the robustness and efficiency of crude scheduling algorithms
  publication-title: AIChE Journal
  doi: 10.1002/aic.11280
– volume: 86
  start-page: 1667
  issue: 9
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0388
  article-title: A new decomposition approach for the thermal unit commitment problem
  publication-title: Applied Energy
  doi: 10.1016/j.apenergy.2009.01.022
– volume: 154
  start-page: 427
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0076
  article-title: Extending a CIP framework to solve MIQCPs
– ident: 10.1016/j.ejor.2015.12.018_bib0411
– volume: 54
  start-page: 495
  issue: 2
  year: 2008
  ident: 10.1016/j.ejor.2015.12.018_bib0456
  article-title: A short-term operational planning model for natural gas production systems
  publication-title: AIChE Journal
  doi: 10.1002/aic.11385
– volume: 2
  start-page: 445
  issue: 4
  year: 2008
  ident: 10.1016/j.ejor.2015.12.018_bib0130
  article-title: The GLOBAL optimization method revisited
  publication-title: Optimization Letters
  doi: 10.1007/s11590-007-0072-3
– ident: 10.1016/j.ejor.2015.12.018_bib0165
– volume: 14
  start-page: 1419
  issue: 12
  year: 1990
  ident: 10.1016/j.ejor.2015.12.018_bib0499
  article-title: A global optimization algorithm (GOP) for certain classes of nonconvex NLPs: II. application of theory and test problems
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/0098-1354(90)80021-3
– year: 2000
  ident: 10.1016/j.ejor.2015.12.018_bib0183
– volume: 41
  start-page: 299
  issue: 2
  year: 2008
  ident: 10.1016/j.ejor.2015.12.018_bib0033
  article-title: Nonsmooth optimization through mesh adaptive direct search and variable neighborhood search
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-007-9234-1
– volume: 32
  start-page: 592
  issue: 4
  year: 1986
  ident: 10.1016/j.ejor.2015.12.018_bib0158
  article-title: A mixed-integer nonlinear programming algorithm for process systems synthesis
  publication-title: AIChE Journal
  doi: 10.1002/aic.690320408
– volume: 5
  issue: 4
  year: 2008
  ident: 10.1016/j.ejor.2015.12.018_bib0231
  article-title: Optimal design of hybrid fuel cell vehicles
  publication-title: Journal of Fuel Cell Science and Technology
  doi: 10.1115/1.2890106
– year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0495
– volume: 154
  start-page: 373
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0100
  article-title: The MILP road to MIQCP
– volume: 57
  start-page: 1216
  issue: 5
  year: 2011
  ident: 10.1016/j.ejor.2015.12.018_bib0245
  article-title: Surrogate-based superstructure optimization framework
  publication-title: AIChE Journal
  doi: 10.1002/aic.12341
– volume: 28
  start-page: 2307
  issue: 11
  year: 2004
  ident: 10.1016/j.ejor.2015.12.018_bib0105
  article-title: Design of distillation sequences: From conventional to fully thermally coupled distillation systems
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/j.compchemeng.2004.04.010
– volume: 166
  start-page: 849
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0027
  article-title: Global approaches for facility layout and VLSI floorplanning
– volume: 59
  start-page: 477
  issue: 2-3
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0325
  article-title: A technique to derive the analytical form of convex envelopes for some bivariate functions
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-014-0177-z
– volume: Vol. 7898
  start-page: 178
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0145
  article-title: Computation in real closed infinitesimal and transcendental extensions of the rationals
– volume: 59
  start-page: 505
  issue: 2
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0051
  article-title: Novel natural gas to liquids processes: Process synthesis and global optimization strategies
  publication-title: AIChE Journal
  doi: 10.1002/aic.13996
– volume: 19
  start-page: 1111
  issue: 11
  year: 1995
  ident: 10.1016/j.ejor.2015.12.018_bib0352
  article-title: Global optimization for the phase and chemical equilibrium problem: Application to the NRTL equation
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/0098-1354(94)00106-5
– volume: 124
  start-page: 383
  issue: 1-2
  year: 2010
  ident: 10.1016/j.ejor.2015.12.018_bib0451
  article-title: Convex relaxations of non-convex mixed integer quadratically constrained programs: Extended formulations
  publication-title: Mathematical Programming
  doi: 10.1007/s10107-010-0371-9
– start-page: 1
  year: 2015
  ident: 10.1016/j.ejor.2015.12.018_bib0090
  article-title: Global optimization of general constrained grey-box models: new method and its application to constrained PDEs for pressure swing adsorption
  publication-title: Journlal of Global Optimization
– volume: 87
  start-page: 401
  year: 2000
  ident: 10.1016/j.ejor.2015.12.018_bib0250
  article-title: An efficient algorithm for globally minimizing a quadratic function under convex quadratic constraints
  publication-title: Mathematical Programming
  doi: 10.1007/s101070050003
– volume: 46
  start-page: 281
  issue: 2
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0399
  article-title: Fixed-charge transportation with product blending
  publication-title: Transportation Science
  doi: 10.1287/trsc.1110.0381
– volume: 45
  start-page: 763
  issue: 7
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0416
  article-title: Simulation optimization via kriging: a sequential search using expected improvement with computing budget constraints
  publication-title: IIE Transactions
  doi: 10.1080/0740817X.2012.706377
– volume: 54
  start-page: 765
  issue: 4
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0304
  article-title: Decomposition strategy for the stochastic pooling problem
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-011-9792-0
– start-page: 303
  year: 2010
  ident: 10.1016/j.ejor.2015.12.018_bib0306
  article-title: The reformulation-optimization software engine
– volume: 35
  start-page: 876
  issue: 5
  year: 2011
  ident: 10.1016/j.ejor.2015.12.018_bib0371
  article-title: APOGEE: Global optimization of standard, generalized, and extended pooling problems via linear and logarithmic partitioning schemes
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/j.compchemeng.2011.01.026
– volume: 43
  start-page: 299
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0266
  article-title: Cutting circles and polygons from area-minimizing rectangles
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-007-9274-6
– volume: 10
  start-page: 147
  issue: 1
  year: 1976
  ident: 10.1016/j.ejor.2015.12.018_bib0350
  article-title: Computability of global solutions to factorable nonconvex programs: Part 1-convex underestimating problems
  publication-title: Mathematical Programming
  doi: 10.1007/BF01580665
– volume: 22
  start-page: 233
  issue: 1-4
  year: 2002
  ident: 10.1016/j.ejor.2015.12.018_bib0463
  article-title: Enhancing RLT relaxations via a new class of semidefinite cuts
  publication-title: Journal of Global Optimization
  doi: 10.1023/A:1013819515732
– volume: 29
  start-page: 1317
  issue: 6
  year: 2005
  ident: 10.1016/j.ejor.2015.12.018_bib0501
  article-title: Simulation-based optimization with surrogate models - application to supply chain management
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/j.compchemeng.2005.02.018
– volume: 56
  start-page: 1
  issue: 1
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0232
  article-title: A derivative-free approximate gradient sampling algorithm for finite minimax problems
  publication-title: Computational Optimization and Applications
  doi: 10.1007/s10589-013-9547-6
– volume: 282
  year: 1987
  ident: 10.1016/j.ejor.2015.12.018_bib0453
  article-title: More Test examples for nonlinear programming codes
– volume: 34
  start-page: 1365
  issue: 9
  year: 2010
  ident: 10.1016/j.ejor.2015.12.018_bib0224
  article-title: Scope for the application of mathematical programming techniques in the synthesis and planning of sustainable processes
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/j.compchemeng.2009.11.012
– volume: 35
  issue: 2
  year: 2008
  ident: 10.1016/j.ejor.2015.12.018_bib0256
  article-title: SNOBFIT - stable noisy optimization by branch and fit
  publication-title: ACM Transactions on Mathematical Software
  doi: 10.1145/1377612.1377613
– volume: 47
  start-page: 7802
  issue: 20
  year: 2008
  ident: 10.1016/j.ejor.2015.12.018_bib0512
  article-title: Mixed-integer nonlinear programming models and algorithms for large-scale supply chain design with stochastic inventory management
  publication-title: Industrial & Engineering Chemistry Research
  doi: 10.1021/ie800257x
– volume: 5
  start-page: 205
  issue: 3
  year: 1994
  ident: 10.1016/j.ejor.2015.12.018_bib0351
  article-title: Decomposition based and branch and bound global optimization approaches for the phase equilibrium problem
  publication-title: Journal of Global Optimization
  doi: 10.1007/BF01096454
– volume: 45
  start-page: 185
  issue: 2
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0418
  article-title: An adaptive multiquadric radial basis function method for expensive black-box mixed-integer nonlinear constrained optimization
  publication-title: Engineering Optimization
  doi: 10.1080/0305215X.2012.665450
– volume: 99
  start-page: 1154
  issue: 5
  year: 2008
  ident: 10.1016/j.ejor.2015.12.018_bib0408
  article-title: Yield optimization of regulated metabolic systems using deterministic branch-and-reduce methods
  publication-title: Biotechnology and Bioengineering
  doi: 10.1002/bit.21679
– volume: 1
  start-page: 1
  issue: 1
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0009
  article-title: SCIP: Solving constraint integer programs
  publication-title: Mathematical Programming Computation
  doi: 10.1007/s12532-008-0001-1
– volume: 19
  start-page: 1451
  issue: 3
  year: 2008
  ident: 10.1016/j.ejor.2015.12.018_bib0257
  article-title: The convex envelope of (n-1) convex functions
  publication-title: The SIAM Journal on Optimization
  doi: 10.1137/07069359X
– start-page: 229
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0229
  article-title: Computational comparison of convex underestimators for use in a branch-and-bound global optimization framework
– volume: 149
  start-page: 27
  issue: 1
  year: 2002
  ident: 10.1016/j.ejor.2015.12.018_bib0435
  article-title: Test systems and mathematical models for transmission network expansion planning
  publication-title: Generation, Transmission and Distribution, IEE Proceedings-
  doi: 10.1049/ip-gtd:20020026
– volume: 27
  start-page: 89
  issue: 1
  year: 2007
  ident: 10.1016/j.ejor.2015.12.018_bib0449
  article-title: MINLP optimisation model for increased power production in small-scale CHP plants
  publication-title: Applied Thermal Engineering
  doi: 10.1016/j.applthermaleng.2006.05.002
– volume: 7
  start-page: 1
  issue: 1
  year: 1995
  ident: 10.1016/j.ejor.2015.12.018_bib0464
  article-title: A reformulation-convexification approach for solving nonconvex quadratic-programming problems
  publication-title: Journal of Global Optimization
  doi: 10.1007/BF01100203
– volume: 42
  start-page: 69
  issue: 1
  year: 2008
  ident: 10.1016/j.ejor.2015.12.018_bib0213
  article-title: Tight convex underestimators for C2-continuous problems: II. Multivariate functions
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-008-9288-8
– volume: 17
  start-page: 1
  issue: 1
  year: 1999
  ident: 10.1016/j.ejor.2015.12.018_bib0089
  article-title: A rigorous framework for optimization of expensive functions by surrogates
  publication-title: Structural and Multidisciplinary Optimization
  doi: 10.1007/BF01197708
– volume: 130
  start-page: 359
  year: 2011
  ident: 10.1016/j.ejor.2015.12.018_bib0452
  article-title: Convex relaxations of non-convex mixed integer quadratically constrained programs: Projected formulations
  publication-title: Mathematical Programming
  doi: 10.1007/s10107-010-0340-3
– volume: 299
  start-page: 1
  issue: 1
  year: 2010
  ident: 10.1016/j.ejor.2015.12.018_bib0404
  article-title: A duality-based optimisation approach for the reliable solution of (p, t) phase equilibrium in volume-composition space
  publication-title: Fluid Phase Equilibria
  doi: 10.1016/j.fluid.2010.08.001
– volume: 146
  start-page: 325
  issue: 1-2
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0025
  article-title: Copositivity and constrained fractional quadratic problems
  publication-title: Mathematical Programming
  doi: 10.1007/s10107-013-0690-8
– volume: 8
  start-page: 201
  issue: 2
  year: 1996
  ident: 10.1016/j.ejor.2015.12.018_bib0445
  article-title: BARON: A general purpose global optimization software package
  publication-title: Journal of Global Optimization
  doi: 10.1007/BF00138693
– volume: 14
  start-page: 980
  issue: 4
  year: 2004
  ident: 10.1016/j.ejor.2015.12.018_bib0037
  article-title: A pattern search filter method for nonlinear programming without derivatives
  publication-title: The SIAM Journal on Optimization
  doi: 10.1137/S105262340138983X
– volume: 117
  start-page: 407
  issue: 4
  year: 2005
  ident: 10.1016/j.ejor.2015.12.018_bib0055
  article-title: Dynamic optimization of bioprocesses: Efficient and robust numerical strategies
  publication-title: Journal of Biotechnology
  doi: 10.1016/j.jbiotec.2005.02.013
– volume: 31
  start-page: 743
  year: 2008
  ident: 10.1016/j.ejor.2015.12.018_bib0193
  article-title: Comparison of derivative-free optimization methods for groundwater supply and hydraulic capture community problems
  publication-title: Water Resources
  doi: 10.1016/j.advwatres.2008.01.010
– volume: 20
  start-page: 740
  issue: 2
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0230
  article-title: An ellipsoidal branch and bound algorithm for global optimization
  publication-title: SIAM Journal on Optimization
  doi: 10.1137/080729165
– volume: 203
  start-page: 153
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0307
  article-title: Reformulations in mathematical programming: A computational approach
– volume: 30
  start-page: 215
  issue: 1
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0370
  article-title: Dynamically-generated cutting planes for mixed-integer quadratically-constrained quadratic programs and their incorporation into GloMIQO 2.0
  publication-title: Optimization Methods and Software
  doi: 10.1080/10556788.2014.916287
– volume: 301
  start-page: 42
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0508
  article-title: Simultaneous optimization of size and short-term operation for an RO plant
  publication-title: Desalination
  doi: 10.1016/j.desal.2012.06.009
– volume: 50
  start-page: 761
  issue: 6
  year: 2004
  ident: 10.1016/j.ejor.2015.12.018_bib0034
  article-title: Pooling problem: Alternate formulations and solution methods
  publication-title: Management Science
  doi: 10.1287/mnsc.1030.0207
– ident: 10.1016/j.ejor.2015.12.018_bib0123
– volume: 16
  start-page: 406
  issue: 4
  year: 2004
  ident: 10.1016/j.ejor.2015.12.018_bib0219
  article-title: Optimizing an empirical scoring function for transmembrane protein structure determination
  publication-title: INFORMS Journal on Computing
  doi: 10.1287/ijoc.1040.0102
– volume: 8
  start-page: 212
  issue: 2
  year: 1961
  ident: 10.1016/j.ejor.2015.12.018_bib0253
  article-title: Direct search solution of numerical and statistical problems
  publication-title: Journal of the ACM
  doi: 10.1145/321062.321069
– volume: 5
  start-page: 1
  year: 2011
  ident: 10.1016/j.ejor.2015.12.018_bib0438
  article-title: Exploiting vector space properties to strengthen the relaxation of bilinear programs arising in the global optimization of process networks
  publication-title: Optimization Letters
  doi: 10.1007/s11590-010-0228-4
– volume: 177
  start-page: 63
  year: 2010
  ident: 10.1016/j.ejor.2015.12.018_bib0431
  article-title: Portfolio optimization for wealth-dependent risk preferences
  publication-title: Annals of Operations Research
  doi: 10.1007/s10479-009-0592-6
– ident: 10.1016/j.ejor.2015.12.018_bib0226
– volume: 63
  start-page: 193
  year: 1994
  ident: 10.1016/j.ejor.2015.12.018_bib0068
  article-title: Global minimization by reducing the duality gap
  publication-title: Mathematical Programming
  doi: 10.1007/BF01582066
– volume: 17
  start-page: 606
  issue: 2
  year: 2006
  ident: 10.1016/j.ejor.2015.12.018_bib0004
  article-title: Convergence of mesh adaptive direct search to second-order stationary points
  publication-title: The SIAM Journal on Optimization
  doi: 10.1137/050638382
– volume: 71
  start-page: 532
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0368
  article-title: Global superstructure optimisation of red blood cell production in a parallelised hollow fibre bioreactor
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/j.compchemeng.2014.10.004
– volume: 17
  start-page: 188
  issue: 1
  year: 2006
  ident: 10.1016/j.ejor.2015.12.018_bib0038
  article-title: Mesh adaptive direct search algorithms for constrained optimization
  publication-title: The SIAM Journal on Optimization
  doi: 10.1137/040603371
– volume: 19
  start-page: 1150
  issue: 3
  year: 2008
  ident: 10.1016/j.ejor.2015.12.018_bib0040
  article-title: Parallel space decomposition of the mesh adaptive direct search algorithm
  publication-title: The SIAM Journal on Optimization
  doi: 10.1137/070707518
– volume: 25
  start-page: 797
  issue: 5
  year: 2010
  ident: 10.1016/j.ejor.2015.12.018_bib0220
  article-title: Asynchronous parallel hybrid optimization combining DIRECT and GSS
  publication-title: Optimization Methods and Software
  doi: 10.1080/10556780903039893
– volume: 144
  start-page: 65
  issue: 1–2
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0328
  article-title: On convex envelopes for bivariate functions over polytopes
  publication-title: Mathematical Programming
  doi: 10.1007/s10107-012-0616-x
– volume: 8
  start-page: 131
  issue: 2
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0091
  article-title: Surrogate-based optimization of expensive flowsheet modeling for continuous pharmaceutical manufacturing
  publication-title: Journal of Pharmaceutical Innovation
  doi: 10.1007/s12247-013-9154-1
– volume: 19
  start-page: 403
  issue: 4
  year: 2001
  ident: 10.1016/j.ejor.2015.12.018_bib0444
  article-title: Analysis of bounds for multilinear functions
  publication-title: Journal of Global Optimization
  doi: 10.1023/A:1011295715398
– volume: 216
  start-page: 509
  issue: 3
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0083
  article-title: Copositive optimization: Recent developments and applications
  publication-title: European Journal of Operational Research
  doi: 10.1016/j.ejor.2011.04.026
– year: 2008
  ident: 10.1016/j.ejor.2015.12.018_bib0191
– volume: 20
  start-page: 948
  issue: 2
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0008
  article-title: OrthoMADS: A deterministic MADS instance with orthogonal directions
  publication-title: The SIAM Journal on Optimization
  doi: 10.1137/080716980
– volume: 146
  start-page: 417
  issue: 2
  year: 2003
  ident: 10.1016/j.ejor.2015.12.018_bib0060
  article-title: Global optimization approaches to an aircraft routing problem
  publication-title: European Journal of Operational Research
  doi: 10.1016/S0377-2217(02)00229-1
– volume: 102
  start-page: 531
  issue: 3
  year: 2005
  ident: 10.1016/j.ejor.2015.12.018_bib0489
  article-title: A polyhedral study of nonconvex quadratic programs with box constraints
  publication-title: Mathematical Programming
  doi: 10.1007/s10107-004-0549-0
– volume: 53
  start-page: 2001
  issue: 8
  year: 2007
  ident: 10.1016/j.ejor.2015.12.018_bib0142
  article-title: A kriging method for the solution of nonlinear programs with black-box functions
  publication-title: AIChE Journal
  doi: 10.1002/aic.11228
– volume: 60
  start-page: 217
  issue: 2
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0054
  article-title: Extended formulations for convex envelopes
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-013-0104-8
– volume: 161
  start-page: 905
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0367
  article-title: A framework for globally optimizing mixed-integer signomial programs
  publication-title: Journal of Optimization Theory and Applications
  doi: 10.1007/s10957-013-0396-3
– volume: 204
  start-page: 301
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0140
  article-title: Mixed integer nonlinear programming tools: an updated practical overview
  publication-title: Annals of Operations Research
  doi: 10.1007/s10479-012-1272-5
– volume: 13
  start-page: 455
  issue: 4
  year: 1998
  ident: 10.1016/j.ejor.2015.12.018_bib0264
  article-title: Efficient global optimization of expensive black-box functions
  publication-title: Journal of Global Optimization
  doi: 10.1023/A:1008306431147
– volume: 164
  start-page: 933
  issue: 3
  year: 2015
  ident: 10.1016/j.ejor.2015.12.018_bib0322
  article-title: Derivative-free methods for mixed-integer constrained optimization problems
  publication-title: Journal of Optimization Theory and Applications
  doi: 10.1007/s10957-014-0617-4
– volume: 43
  start-page: 373
  issue: 2
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0496
  article-title: Global optimization of expensive-to-evaluate functions: an empirical comparison of two sampling criteria
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-008-9313-y
– volume: 103
  start-page: 251
  issue: 2
  year: 2005
  ident: 10.1016/j.ejor.2015.12.018_bib0317
  article-title: A simplicial branch-and-bound algorithm for solving quadratically constrained quadratic programs
  publication-title: Mathematical Programming
  doi: 10.1007/s10107-005-0582-7
– volume: 43
  start-page: 2407
  issue: 9
  year: 1988
  ident: 10.1016/j.ejor.2015.12.018_bib0176
  article-title: Synthesis of distillation sequences with several multicomponent feed and product streams
  publication-title: Chemical Engineering Science
  doi: 10.1016/0009-2509(88)85175-3
– volume: 176
  start-page: 657
  issue: 2
  year: 2007
  ident: 10.1016/j.ejor.2015.12.018_bib0329
  article-title: A survey for the quadratic assignment problem
  publication-title: European Journal of Operational Research
  doi: 10.1016/j.ejor.2005.09.032
– volume: 8
  start-page: 1599
  issue: 5
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0012
  article-title: A variance-based method to rank input variables of the mesh adaptive direct search algorithm
  publication-title: Optimization Letters
  doi: 10.1007/s11590-013-0688-4
– volume: 8
  start-page: 107
  year: 1996
  ident: 10.1016/j.ejor.2015.12.018_bib0443
  article-title: A branch-and-reduce approach to global optimization
  publication-title: Journal of Global Optimization
  doi: 10.1007/BF00138689
– volume: 53
  start-page: 2131
  issue: 8
  year: 2007
  ident: 10.1016/j.ejor.2015.12.018_bib0372
  article-title: A dual extremum principle in thermodynamics
  publication-title: AIChE Journal
  doi: 10.1002/aic.11230
– year: 1996
  ident: 10.1016/j.ejor.2015.12.018_bib0254
– volume: 202
  start-page: 164
  issue: 1
  year: 2010
  ident: 10.1016/j.ejor.2015.12.018_bib0273
  article-title: Constrained optimization in expensive simulation: Novel approach
  publication-title: European Journal of Operational Research
  doi: 10.1016/j.ejor.2009.05.002
– volume: 133
  start-page: 299
  issue: 1-2
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0494
  article-title: Analysis of direct searches for discontinuous functions
  publication-title: Mathematical Programming
  doi: 10.1007/s10107-010-0429-8
– volume: 21
  start-page: 1
  issue: 1
  year: 1997
  ident: 10.1016/j.ejor.2015.12.018_bib0465
  article-title: New reformulation linearization/convexification relaxations for univariate and multivariate polynomial programming problems
  publication-title: Operations Research Letters
  doi: 10.1016/S0167-6377(97)00013-8
– volume: 20
  start-page: 445
  issue: 1
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0039
  article-title: A progressive barrier for derivative-free nonlinear programming
  publication-title: The SIAM Journal on Optimization
  doi: 10.1137/070692662
– volume: 52
  start-page: 249
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0119
  article-title: Comparison of global optimization algorithms for the design of water-using networks
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/j.compchemeng.2013.01.013
– volume: 14
  start-page: 331
  issue: 4
  year: 1999
  ident: 10.1016/j.ejor.2015.12.018_bib0255
  article-title: Global optimization by multilevel coordinate search
  publication-title: Journal of Global Optimization
  doi: 10.1023/A:1008382309369
– volume: 2
  start-page: 5
  issue: 1
  year: 2001
  ident: 10.1016/j.ejor.2015.12.018_bib0281
  article-title: Mixed variable optimization of the number and composition of heat intercepts in a thermal insulation system
  publication-title: Optimization and Engineering
  doi: 10.1023/A:1011860702585
– volume: 197
  start-page: 1890
  issue: 21-24
  year: 2008
  ident: 10.1016/j.ejor.2015.12.018_bib0344
  article-title: A computational framework for derivative-free optimization of cardiovascular geometries
  publication-title: Computer Methods in Applied Mechanics and Engineering
  doi: 10.1016/j.cma.2007.12.009
– volume: 43
  start-page: 7796
  issue: 24
  year: 2004
  ident: 10.1016/j.ejor.2015.12.018_bib0313
  article-title: Dynamic optimization of batch emulsion polymerization using MSIMPSA, a simulated- annealing-based algorithm
  publication-title: Industrial & Engineering Chemistry Research
  doi: 10.1021/ie0496784
– volume: 22
  start-page: 603
  issue: 4-5
  year: 1998
  ident: 10.1016/j.ejor.2015.12.018_bib0056
  article-title: Stochastic optimization for optimal and model-predictive control
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/S0098-1354(97)00226-3
– volume: 17
  start-page: 218
  issue: 1
  year: 2006
  ident: 10.1016/j.ejor.2015.12.018_bib0500
  article-title: Sums of squares and semidefinite program relaxations for polynomial optimization problems with structured sparsity
  publication-title: SIAM Journal on Optimization
  doi: 10.1137/050623802
– year: 2002
  ident: 10.1016/j.ejor.2015.12.018_bib0001
– volume: 14
  start-page: 1165
  issue: 10
  year: 1990
  ident: 10.1016/j.ejor.2015.12.018_bib0511
  article-title: Simultaneous optimization models for heat integrationII. Heat exchanger network synthesis
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/0098-1354(90)85010-8
– volume: 45
  start-page: 8454
  issue: 25
  year: 2006
  ident: 10.1016/j.ejor.2015.12.018_bib0106
  article-title: Structural considerations and modeling in the synthesis of heat integrated thermally coupled distillation sequences
  publication-title: Industrial & Engineering Chemistry Research
  doi: 10.1021/ie060030w
– volume: 62
  start-page: 1
  issue: 1
  year: 2015
  ident: 10.1016/j.ejor.2015.12.018_bib0131
  article-title: Glods: Global and local optimization using direct search
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-014-0224-9
– volume: 47
  start-page: 661
  year: 2010
  ident: 10.1016/j.ejor.2015.12.018_bib0111
  article-title: On convex relaxations of quadrilinear terms
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-009-9484-1
– volume: 102
  start-page: 559
  issue: 3
  year: 2005
  ident: 10.1016/j.ejor.2015.12.018_bib0488
  article-title: A branch-and-cut algorithm for nonconvex quadratic programs with box constraints
  publication-title: Mathematical Programming
  doi: 10.1007/s10107-004-0550-7
– volume: 52
  start-page: 7514
  issue: 22
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0521
  article-title: Computational experience with applications of bilinear cutting planes
  publication-title: Industrial & Engineering Chemistry Research
  doi: 10.1021/ie3033763
– volume: 4
  start-page: 441
  issue: 4
  year: 1962
  ident: 10.1016/j.ejor.2015.12.018_bib0471
  article-title: Sequential application of simplex designs in optimisation and evolutionary operation
  publication-title: Technometrics
  doi: 10.1080/00401706.1962.10490033
– volume: 10
  start-page: 917
  issue: 3
  year: 2000
  ident: 10.1016/j.ejor.2015.12.018_bib0298
  article-title: Pattern search methods for linearly constrained minimization
  publication-title: SIAM Journal on Optimization
  doi: 10.1137/S1052623497331373
– volume: 20
  start-page: 573
  issue: 2
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0373
  article-title: McCormick-based relaxations of algorithms
  publication-title: SIAM Journal on Optimization
  doi: 10.1137/080717341
– year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0129
  article-title: Introduction to derivative-free optimization
  doi: 10.1137/1.9780898718768
– volume: 37
  start-page: 1
  issue: 4
  year: 2011
  ident: 10.1016/j.ejor.2015.12.018_bib0291
  article-title: Algorithm 909: NOMAD: Nonlinear optimization with the MADS algorithm
  publication-title: ACM Transactions on Mathematical Software
  doi: 10.1145/1916461.1916468
– volume: 59
  start-page: 673
  issue: 2-3
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0523
  article-title: Global optimization of general nonconvex problems with intermediate polynomial substructures
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-014-0190-2
– volume: 20
  start-page: 1
  issue: 1
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0319
  article-title: A derivative-free algorithm for inequality constrained nonlinear programming via smoothing of an l- ∞ penalty function
  publication-title: SIAM Journal on Optimization
  doi: 10.1137/070711451
– volume: 105
  start-page: 594
  issue: 3
  year: 1998
  ident: 10.1016/j.ejor.2015.12.018_bib0235
  article-title: Different transformations for solving non-convex trim-loss problems by MINLP
  publication-title: European Journal of Operational Research
  doi: 10.1016/S0377-2217(97)00066-0
– volume: 23
  start-page: 457
  issue: 4 - 5
  year: 1999
  ident: 10.1016/j.ejor.2015.12.018_bib0470
  article-title: A symbolic reformulation/spatial branch-and-bound algorithm for the global optimisation of nonconvex MINLPs
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/S0098-1354(98)00286-5
– volume: 10
  start-page: 383
  year: 2011
  ident: 10.1016/j.ejor.2015.12.018_bib0505
  article-title: Some notes on convex relaxations
  publication-title: AIDIC Conference Series
– volume: 56
  start-page: 1880
  issue: 7
  year: 2010
  ident: 10.1016/j.ejor.2015.12.018_bib0240
  article-title: Piecewise linear relaxation of bilinear programs using bivariate partitioning
  publication-title: AIChE Journal
  doi: 10.1002/aic.12109
– ident: 10.1016/j.ejor.2015.12.018_bib0018
– volume: 157
  start-page: 1309
  issue: 6
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0308
  article-title: Reformulation in mathematical programming: an application to quantum chemistry
  publication-title: Discrete Applied Mathematics
  doi: 10.1016/j.dam.2007.08.044
– volume: 572
  start-page: 13
  year: 2007
  ident: 10.1016/j.ejor.2015.12.018_bib0346
  article-title: Trailing-edge noise reduction using derivative-free optimization and large-eddy simulation
  publication-title: Journal of Fluid Mechanics
  doi: 10.1017/S0022112006003235
– volume: 2
  start-page: 71
  year: 1998
  ident: 10.1016/j.ejor.2015.12.018_bib0518
  article-title: Semidefinite programming relaxations for the quadratic assignment problem
  publication-title: Journal of Combinatorial Optimization
  doi: 10.1023/A:1009795911987
– volume: 1
  start-page: 373
  issue: 4
  year: 2000
  ident: 10.1016/j.ejor.2015.12.018_bib0079
  article-title: Global optimization of costly nonconvex functions using radial basis functions
  publication-title: Optimization and Engineering
  doi: 10.1023/A:1011584207202
– ident: 10.1016/j.ejor.2015.12.018_bib0262
– ident: 10.1016/j.ejor.2015.12.018_bib0006
– year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0072
– volume: 32
  start-page: 417
  year: 2005
  ident: 10.1016/j.ejor.2015.12.018_bib0315
  article-title: Global solution approach for a nonconvex MINLP problem in product portfolio optimization
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-004-5903-5
– volume: 20
  start-page: 2614
  issue: 5
  year: 2010
  ident: 10.1016/j.ejor.2015.12.018_bib0323
  article-title: Sequential penalty derivative-free methods for nonlinear constrained optimization
  publication-title: The SIAM Journal on Optimization
  doi: 10.1137/090750639
– ident: 10.1016/j.ejor.2015.12.018_bib0514
– volume: 24
  start-page: 727
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0151
  article-title: GloptLab - a configurable framework for the rigorous global solution of quadratic constraint satisfaction problems
  publication-title: Optimization Methods and Software
  doi: 10.1080/10556780902917701
– volume: 5
  start-page: 235
  issue: 2
  year: 2004
  ident: 10.1016/j.ejor.2015.12.018_bib0345
  article-title: Optimal aerocoustic shape design using surrogate management framework
  publication-title: Optimization and Engineering
  doi: 10.1023/B:OPTE.0000033376.89159.65
– year: 2000
  ident: 10.1016/j.ejor.2015.12.018_bib0173
– volume: 41
  start-page: 687
  issue: 4
  year: 2003
  ident: 10.1016/j.ejor.2015.12.018_bib0396
  article-title: Evolutionary optimization of computationally expensive problems via surrogate modeling
  publication-title: AIAA Journal
  doi: 10.2514/2.1999
– volume: 22
  start-page: 831
  issue: 3
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0081
  article-title: A new approach to the feasibility pump in mixed integer programming
  publication-title: The SIAM Journal on Optimization
  doi: 10.1137/110823596
– volume: 14
  start-page: 1397
  issue: 12
  year: 1990
  ident: 10.1016/j.ejor.2015.12.018_bib0187
  article-title: A global optimization algorithm (GOP) for certain classes of nonconvex NLPs: I. Theory
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/0098-1354(90)80020-C
– volume: 32
  start-page: 138
  issue: 1
  year: 2006
  ident: 10.1016/j.ejor.2015.12.018_bib0216
  article-title: Algorithm 852: RealPaver: An interval solver using constraint satisfaction techniques
  publication-title: ACM Transactions on Mathematical Software
  doi: 10.1145/1132973.1132980
– volume: 13
  start-page: 889
  issue: 3
  year: 2002
  ident: 10.1016/j.ejor.2015.12.018_bib0036
  article-title: Analysis of generalized pattern searches
  publication-title: The SIAM Journal on Optimization
  doi: 10.1137/S1052623400378742
– volume: 18
  start-page: 8693
  issue: 39
  year: 2006
  ident: 10.1016/j.ejor.2015.12.018_bib0519
  article-title: Using pattern search methods for surface structure determination of nanomaterials
  publication-title: Journal of Physics: Condensed Matter
– year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0295
– volume: 38
  start-page: 509
  year: 2007
  ident: 10.1016/j.ejor.2015.12.018_bib0122
  article-title: Global optimization in stabilizing controller design
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-006-9092-2
– volume: 10
  start-page: 386
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0227
  article-title: Identifying quantitative operation principles in metabolic pathways: a systematic method for searching feasible enzyme activity patterns leading to cellular adaptive responses
  publication-title: BMC Bioinformatics
  doi: 10.1186/1471-2105-10-386
– volume: 59
  start-page: 405
  issue: 2-3
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0267
  article-title: Cutting ellipses from area-minimizing rectangles
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-013-0125-3
– volume: 45
  start-page: 385
  issue: 3
  year: 2003
  ident: 10.1016/j.ejor.2015.12.018_bib0284
  article-title: Optimization by direct search: New perspectives on some classical and modern methods
  publication-title: SIAM Review
  doi: 10.1137/S003614450242889
– volume: 3982
  start-page: 908
  year: 2006
  ident: 10.1016/j.ejor.2015.12.018_bib0401
  article-title: Global optimization of the scenario generation and portfolio selection problems
– ident: 10.1016/j.ejor.2015.12.018_bib0513
– start-page: 1
  year: 1999
  ident: 10.1016/j.ejor.2015.12.018_bib0084
  article-title: The maximum clique problem
– volume: 46
  start-page: 3669
  issue: 11
  year: 2007
  ident: 10.1016/j.ejor.2015.12.018_bib0116
  article-title: Optimal periodic scheduling of multistage continuous plants with single and multiple time grid formulations
  publication-title: Industrial & Engineering Chemistry Research
  doi: 10.1021/ie0613570
– volume: 113
  start-page: 259
  issue: 2
  year: 2008
  ident: 10.1016/j.ejor.2015.12.018_bib0101
  article-title: A finite branch-and-bound algorithm for nonconvex quadratic programming via semidefinite relaxations
  publication-title: Mathematical Programming
  doi: 10.1007/s10107-006-0080-6
– volume: 46
  start-page: 9148
  issue: 26
  year: 2007
  ident: 10.1016/j.ejor.2015.12.018_bib0162
  article-title: Global optimization for integrated design and control of computationally expensive process models
  publication-title: Industrial & Engineering Chemistry Research
  doi: 10.1021/ie0705094
– volume: 36
  start-page: 307
  year: 1986
  ident: 10.1016/j.ejor.2015.12.018_bib0159
  article-title: An outer-approximation algorithm for a class of mixed-integer nonlinear programs
  publication-title: Mathematical Programming
  doi: 10.1007/BF02592064
– volume: 56
  start-page: 419
  issue: 2
  year: 2010
  ident: 10.1016/j.ejor.2015.12.018_bib0515
  article-title: Integrated multi-echelon supply chain design with inventories under uncertainty: MINLP models, computational strategies
  publication-title: AIChE Journal
  doi: 10.1002/aic.12010
– volume: 3
  start-page: 305
  year: 2002
  ident: 10.1016/j.ejor.2015.12.018_bib0201
  article-title: Construction of convex relaxations using automated code generation techniques
  publication-title: Optimization and Engineering
  doi: 10.1023/A:1021095211251
– volume: 48
  start-page: 8515
  issue: 18
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0378
  article-title: A novel priority-slot based continuous-time formulation for crude-oil scheduling problems
  publication-title: Industrial & Engineering Chemistry Research
  doi: 10.1021/ie8019592
– volume: 35
  start-page: 2799
  issue: 12
  year: 2011
  ident: 10.1016/j.ejor.2015.12.018_bib0348
  article-title: Numerical optimization of heat recovery steam cycles: Mathematical model, two-stage algorithm and applications
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/j.compchemeng.2011.04.015
– volume: 97
  start-page: 27
  issue: 1–2
  year: 2003
  ident: 10.1016/j.ejor.2015.12.018_bib0028
  article-title: Recent advances in the solution of quadratic assignment problems
  publication-title: Mathematical Programming
  doi: 10.1007/s10107-003-0437-z
– year: 1999
  ident: 10.1016/j.ejor.2015.12.018_bib0185
– volume: 59
  start-page: 197
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0215
  article-title: Improvements in surrogate models for process synthesis. application to water network system design
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/j.compchemeng.2013.05.024
– volume: 99
  start-page: 563
  year: 2004
  ident: 10.1016/j.ejor.2015.12.018_bib0483
  article-title: Global optimization of mixed-integer nonlinear programs: A theoretical and computational study
  publication-title: Mathematical Programming
  doi: 10.1007/s10107-003-0467-6
– volume: 281
  start-page: 22
  issue: 1
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0087
  article-title: Calculation of homogeneous azeotropes in reactive and non-reactive mixtures using a stochastic optimization approach
  publication-title: Fluid Phase Equilibria
  doi: 10.1016/j.fluid.2009.03.009
– volume: 11
  start-page: 319
  issue: 4
  year: 1987
  ident: 10.1016/j.ejor.2015.12.018_bib0179
  article-title: Synthesis of flexible heat-exchanger networks with uncertain flowrates and temperatures
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/0098-1354(87)85014-7
– volume: 13
  start-page: 579
  issue: 4
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0197
  article-title: Adapting derivative free optimization methods to engineering models with discrete variables
  publication-title: Optimization and Engineering
– ident: 10.1016/j.ejor.2015.12.018_bib0377
– volume: 28
  start-page: 1169
  issue: 8
  year: 2004
  ident: 10.1016/j.ejor.2015.12.018_bib0077
  article-title: Retrospective on optimization
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/j.compchemeng.2003.11.003
– start-page: 233
  year: 2005
  ident: 10.1016/j.ejor.2015.12.018_bib0473
  article-title: Global optimization in geometry circle packing into the square
– volume: 6
  start-page: 33
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0071
  article-title: RENS – the optimal rounding
  publication-title: Mathematical Programming Computation
  doi: 10.1007/s12532-013-0060-9
– volume: 34
  start-page: 318
  issue: 3
  year: 2010
  ident: 10.1016/j.ejor.2015.12.018_bib0409
  article-title: Global optimization for the synthesis of property-based recycle and reuse networks including environmental constraints
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/j.compchemeng.2009.10.005
– volume: 121
  start-page: 307
  issue: 2
  year: 2010
  ident: 10.1016/j.ejor.2015.12.018_bib0428
  article-title: Solving max-cut to optimality by intersecting semidefinite and polyhedral relaxations
  publication-title: Mathematical Programming
  doi: 10.1007/s10107-008-0235-8
– volume: 13
  start-page: 703
  issue: 6
  year: 1989
  ident: 10.1016/j.ejor.2015.12.018_bib0124
  article-title: A retrofit approach for heat exchanger networks
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/0098-1354(89)80008-0
– volume: 36
  start-page: 88
  issue: 1
  year: 2011
  ident: 10.1016/j.ejor.2015.12.018_bib0149
  article-title: On equivalence of semidefinite relaxations for quadratic matrix programming
  publication-title: Mathematics of Operations Research
  doi: 10.1287/moor.1100.0473
– volume: 56
  start-page: 787
  issue: 3, SI
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0061
  article-title: Bound reduction using pairs of linear inequalities
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-012-9848-9
– volume: 57
  start-page: 2120
  issue: 8
  year: 2011
  ident: 10.1016/j.ejor.2015.12.018_bib0303
  article-title: Stochastic pooling problem for natural gas production network design and operation under uncertainty
  publication-title: AIChE Journal
  doi: 10.1002/aic.12419
– volume: 344
  start-page: 252
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0133
  article-title: Structural optimization of seawater desalination: I. a flexible superstructure and novel MED-MSF configurations
  publication-title: Desalination
  doi: 10.1016/j.desal.2014.03.030
– volume: 59
  start-page: 3748
  issue: 10
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0115
  article-title: Inventory pinch algorithm for gasoline blend planning
  publication-title: AIChE Journal
  doi: 10.1002/aic.14113
– volume: 49
  start-page: 5424
  issue: 11
  year: 2010
  ident: 10.1016/j.ejor.2015.12.018_bib0362
  article-title: Global optimization of large-scale pooling problems: Quadratically constrained MINLP models
  publication-title: Industrial & Engineering Chemistry Research
  doi: 10.1021/ie100025e
– volume: 53
  start-page: 505
  issue: 2
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0321
  article-title: Derivative-free methods for bound constrained mixed-integer optimization
  publication-title: Computational Optimization and Applications
  doi: 10.1007/s10589-011-9405-3
– volume: 15
  start-page: 1057
  issue: 4
  year: 2005
  ident: 10.1016/j.ejor.2015.12.018_bib0331
  article-title: An algorithm model for mixed variable programming
  publication-title: The SIAM Journal on Optimization
  doi: 10.1137/S1052623403429573
– volume: 6508
  start-page: 65
  year: 2010
  ident: 10.1016/j.ejor.2015.12.018_bib0062
  article-title: Feasibility-based bounds tightening via fixed points
– volume: 36
  start-page: 805
  year: 2010
  ident: 10.1016/j.ejor.2015.12.018_bib0067
  article-title: Valid inequalities and convex hulls for multilinear functions. Electronic Notes in Discrete Mathematics
– volume: 2
  start-page: 225
  year: 1990
  ident: 10.1016/j.ejor.2015.12.018_bib0174
  article-title: A decomposition strategy for global optimum search in the pooling problem
  publication-title: ORSA Journal on Computing
  doi: 10.1287/ijoc.2.3.225
– volume: 50
  start-page: 158
  issue: 2
  year: 2007
  ident: 10.1016/j.ejor.2015.12.018_bib0118
  article-title: An efficient heuristic procedure for the optimal design of wastewater treatment systems
  publication-title: Resources, Conservation and Recycling
  doi: 10.1016/j.resconrec.2006.06.013
– volume: 30
  start-page: 650
  year: 2006
  ident: 10.1016/j.ejor.2015.12.018_bib0268
  article-title: Global optimization for the synthesis of integrated water systems in chemical processes
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/j.compchemeng.2005.11.005
– volume: 47
  start-page: 3060
  issue: 9
  year: 2008
  ident: 10.1016/j.ejor.2015.12.018_bib0446
  article-title: Global optimization of reverse osmosis network for wastewater treatment and minimization
  publication-title: Industrial & Engineering Chemistry Research
  doi: 10.1021/ie071316j
– volume: 45
  start-page: 3
  issue: 1
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0178
  article-title: A review of recent advances in global optimization
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-008-9332-8
– volume: 24
  start-page: 761
  issue: 4-5
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0247
  article-title: GloptiPoly 3: Moments, optimization and semidefinite programming
  publication-title: Optimization Methods and Software
  doi: 10.1080/10556780802699201
– volume: 56
  start-page: 1007
  issue: 3
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0048
  article-title: Maximal perimeter, diameter and area of equilateral unit-width convex polygons
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-011-9780-4
– volume: 35
  start-page: 1630
  issue: 5
  year: 1996
  ident: 10.1016/j.ejor.2015.12.018_bib0294
  article-title: Mixed-integer linear programming model for refinery short-term scheduling of crude oil unloading with inventory management
  publication-title: Industrial & Engineering Chemistry Research
  doi: 10.1021/ie950519h
– volume: 51
  start-page: 15665
  issue: 48
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0236
  article-title: Modeling, simulation, and optimization of postcombustion CO2 capture for variable feed concentration and flow rate. 2. pressure swing adsorption and vacuum swing adsorption processes
  publication-title: Industrial & Engineering Chemistry Research
  doi: 10.1021/ie301572n
– volume: 52
  start-page: 391
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0270
  article-title: Convex envelopes of products of convex and component-wise concave functions
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-011-9747-5
– volume: 43
  start-page: 277
  issue: 2-3
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0419
  article-title: Column enumeration based decomposition techniques for a class of non-convex MINLP problems
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-007-9271-9
– volume: 114
  start-page: 135
  issue: 1
  year: 2007
  ident: 10.1016/j.ejor.2015.12.018_bib0044
  article-title: The small octagon with longest perimeter
  publication-title: Journal of Combinatorial Theory, Series A
  doi: 10.1016/j.jcta.2006.04.002
– volume: 20
  start-page: 387
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0128
  article-title: Global convergence of general derivative-free trust-region algorithms to first and second order critical points
  publication-title: The SIAM Journal on Optimization
  doi: 10.1137/060673424
– volume: 103
  start-page: 207
  issue: 2
  year: 2005
  ident: 10.1016/j.ejor.2015.12.018_bib0357
  article-title: Convex envelopes for edge-concave functions
  publication-title: Mathematical Programming
  doi: 10.1007/s10107-005-0580-9
– ident: 10.1016/j.ejor.2015.12.018_bib0063
– volume: 39
  start-page: 197
  issue: 2
  year: 2007
  ident: 10.1016/j.ejor.2015.12.018_bib0490
  article-title: A particle swarm pattern search method for bound constrained global optimization
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-007-9133-5
– volume: 60
  start-page: 2462
  issue: 7
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0092
  article-title: Derivative-free optimization for expensive constrained problems using a novel expected improvement objective function
  publication-title: AIChE Journal
  doi: 10.1002/aic.14442
– year: 2008
  ident: 10.1016/j.ejor.2015.12.018_bib0010
  article-title: Constraint integer programming: a new approach to integrate CP and MIP
– volume: 46
  start-page: 193
  issue: 2
  year: 2010
  ident: 10.1016/j.ejor.2015.12.018_bib0041
  article-title: Globalization strategies for mesh adaptive direct search
  publication-title: Computational Optimization and Applications
  doi: 10.1007/s10589-009-9266-1
– volume: 29
  start-page: 125
  issue: 2
  year: 2004
  ident: 10.1016/j.ejor.2015.12.018_bib0356
  article-title: Trilinear monomials with mixed sign domains: Facets of the convex and concave envelopes
  publication-title: Journal of Global Optimization
  doi: 10.1023/B:JOGO.0000042112.72379.e6
– volume: 31
  start-page: 153
  issue: 1
  year: 2005
  ident: 10.1016/j.ejor.2015.12.018_bib0422
  article-title: Constrained global optimization of expensive black box functions using radial basis functions
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-004-0570-0
– volume: 56
  start-page: 669
  issue: 2
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0492
  article-title: Efficient global optimization algorithm assisted by multiple surrogate techniques
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-012-9892-5
– volume: 58
  start-page: 497
  issue: 3
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0289
  article-title: A black-box scatter search for optimization problems with integer variables
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-013-0061-2
– volume: 60
  start-page: 425
  issue: 3
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0276
  article-title: Branch-and-sandwich: a deterministic global optimization algorithm for optimistic bilevel programming problems. Part II: Convergence analysis and numerical results
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-013-0121-7
– volume: 24
  start-page: 621
  issue: 2
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0047
  article-title: Reducing the number of function evaluations in mesh adaptive direct search algorithms
  publication-title: The SIAM Journal on Optimization
  doi: 10.1137/120895056
– volume: 28
  start-page: 139
  issue: 1
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0127
  article-title: Use of quadratic models with mesh-adaptive direct search for constrained black box optimization
  publication-title: Optimization Methods and Software
  doi: 10.1080/10556788.2011.623162
– volume: 136
  start-page: 375
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0138
  article-title: A storm of feasibility pumps for nonconvex MINLP
  publication-title: Mathematical Programming
  doi: 10.1007/s10107-012-0608-x
– volume: 54
  start-page: 2633
  issue: 10
  year: 2008
  ident: 10.1016/j.ejor.2015.12.018_bib0107
  article-title: An algorithm for the use of surrogate models in modular flowsheet optimization
  publication-title: AIChE Journal
  doi: 10.1002/aic.11579
– volume: 46
  start-page: 1769
  issue: 9
  year: 2000
  ident: 10.1016/j.ejor.2015.12.018_bib0014
  article-title: Global optimization of mixed-integer nonlinear problems
  publication-title: AIChE Journal
  doi: 10.1002/aic.690460908
– volume: 35
  start-page: 2750
  issue: 12
  year: 2011
  ident: 10.1016/j.ejor.2015.12.018_bib0379
  article-title: A new Lagrangian decomposition approach applied to the integration of refinery planning and crude-oil scheduling
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/j.compchemeng.2011.03.026
– volume: 84
  start-page: 869
  issue: 2
  year: 2003
  ident: 10.1016/j.ejor.2015.12.018_bib0278
  article-title: Hybrid global optimization algorithms for protein structure prediction: Alternating hybrids
  publication-title: Biophysical Journal
  doi: 10.1016/S0006-3495(03)74905-4
– year: 2010
  ident: 10.1016/j.ejor.2015.12.018_bib0103
  article-title: MINLP solver software
– volume: 34
  start-page: 1432
  issue: 9
  year: 2010
  ident: 10.1016/j.ejor.2015.12.018_bib0369
  article-title: Mathematical modeling and global optimization of large-scale extended pooling problems with the (EPA) complex emissions constraints
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/j.compchemeng.2010.02.014
– volume: 43
  start-page: 391
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0335
  article-title: Some transformation techniques with applications in global optimization
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-007-9223-4
– volume: 85
  start-page: 408
  issue: 0
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0338
  article-title: Energy efficient hybrid wired-cum-wireless sensor network design
  publication-title: Journal of Cleaner Production
  doi: 10.1016/j.jclepro.2014.04.038
– volume: 11
  start-page: 83
  issue: 1
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0120
  article-title: Linear program-based algorithm for the optimal design of wastewater treatment systems
  publication-title: Clean Technologies and Environmental Policy
  doi: 10.1007/s10098-008-0172-5
– volume: 9
  start-page: 143
  issue: 2
  year: 2008
  ident: 10.1016/j.ejor.2015.12.018_bib0032
  article-title: Spent potliner treatment process optimization using a MADS algorithm
  publication-title: Optimization and Engineering
  doi: 10.1007/s11081-007-9030-2
– volume: 87
  start-page: 131
  issue: 1
  year: 2000
  ident: 10.1016/j.ejor.2015.12.018_bib0043
  article-title: A branch and cut algorithm for nonconvex quadratically constrained quadratic programming
  publication-title: Mathematical Programming
  doi: 10.1007/s101079900106
– volume: 138
  start-page: 407
  year: 2008
  ident: 10.1016/j.ejor.2015.12.018_bib0211
  article-title: Convexity of products of univariate functions and convexification transformations for geometric programming
  publication-title: Journal of Optimization Theory and Applications
  doi: 10.1007/s10957-008-9402-6
– year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0249
  article-title: On the efficient Gerschgorin inclusion usage in the global optimization αBB method
  publication-title: Journal of Global Optimization
– volume: 57
  start-page: 1039
  issue: 4
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0286
  article-title: Global optimization of bilinear programs with a multiparametric disaggregation technique
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-012-0022-1
– volume: 7
  start-page: 143
  issue: 2
  year: 1995
  ident: 10.1016/j.ejor.2015.12.018_bib0341
  article-title: Finding all solutions of nonlinearly constrained systems of equations
  publication-title: Journal of Global Optimization
  doi: 10.1007/BF01097059
– volume: 41
  start-page: 208
  issue: 2
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0045
  article-title: Simple polygons of maximum perimeter contained in a unit disk
  publication-title: Discrete & Computational Geometry
  doi: 10.1007/s00454-008-9093-7
– volume: 135
  start-page: 042309
  issue: 4
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0146
  article-title: Enhancement of the electrical efficiency of commercial fuel cell units by means of an organic rankine cycle: a case study
  publication-title: Journal of Engineering for Gas Turbines and Power
  doi: 10.1115/1.4023119
– volume: 2
  start-page: 695
  issue: 4
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0207
  article-title: Towards globally optimal operation of water supply networks
  publication-title: Numerical Algebra, Control and Optimization
  doi: 10.3934/naco.2012.2.695
– volume: 3
  start-page: 281
  year: 2002
  ident: 10.1016/j.ejor.2015.12.018_bib0478
  article-title: Product disaggregation in global optimization and relaxations of rational programs
  publication-title: Optimization and Engineering
  doi: 10.1023/A:1021043227181
– volume: 50
  start-page: 5225
  issue: 9
  year: 2011
  ident: 10.1016/j.ejor.2015.12.018_bib0414
  article-title: A spatial branch-and-bound framework for the global optimization of kinetic models of metabolic networks
  publication-title: Industrial & Engineering Chemistry Research
  doi: 10.1021/ie101368k
– ident: 10.1016/j.ejor.2015.12.018_bib0251
– start-page: 145
  year: 2003
  ident: 10.1016/j.ejor.2015.12.018_bib0202
  article-title: Implementation and testing of a branch-and-bound based method for deterministic global optimization: Operations research applications
– volume: 41
  start-page: 24
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0177
  article-title: Hybrid and single feedstock energy processes for liquid transportation fuels: A critical review
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/j.compchemeng.2012.02.008
– volume: 36
  start-page: 161
  issue: 2
  year: 2006
  ident: 10.1016/j.ejor.2015.12.018_bib0312
  article-title: An exact reformulation algorithm for large nonconvex NLPs involving bilinear terms
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-006-9005-4
– volume: 3
  start-page: 475
  issue: 3
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0493
  article-title: Implicitly and densely discrete black-box optimization problems
  publication-title: Optimization Letters
  doi: 10.1007/s11590-009-0120-2
– start-page: 563
  year: 2003
  ident: 10.1016/j.ejor.2015.12.018_bib0476
  article-title: On the existence of polyhedral convex envelopes
– volume: 129
  start-page: 129
  issue: 1
  year: 2011
  ident: 10.1016/j.ejor.2015.12.018_bib0058
  article-title: Semidefinite relaxations for quadratically constrained quadratic programming: A review and comparisons
  publication-title: Mathematical Programming
  doi: 10.1007/s10107-011-0462-2
– volume: 180
  start-page: 012014
  issue: 1
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0299
  article-title: Applications and algorithms for mixed integer nonlinear programming
  publication-title: Journal of Physics: Conference Series
– volume: 16
  start-page: 652
  issue: 11
  year: 1970
  ident: 10.1016/j.ejor.2015.12.018_bib0205
  article-title: Elements of Large-Scale Mathematical Programming .1. Concepts
  publication-title: Management Science Series A-Theory
– volume: 33
  start-page: 769
  issue: 3
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0200
  article-title: Methodology for the optimal thermo-economic, multi-objective design of thermochemical fuel production from biomass
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/j.compchemeng.2008.09.017
– volume: 182
  start-page: 514
  issue: 2
  year: 2007
  ident: 10.1016/j.ejor.2015.12.018_bib0424
  article-title: Parallel radial basis function methods for the global optimization of expensive functions
  publication-title: European Journal of Operational Research
  doi: 10.1016/j.ejor.2006.08.040
– volume: 154
  start-page: 407
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0415
  article-title: Linear programming relaxations of quadratically constrained quadratic programs
– volume: 7
  start-page: e37493
  issue: 5
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0458
  article-title: SAS-Pro: Simultaneous residue assignment and structure superposition for protein structure alignment
  publication-title: PLoS ONE
  doi: 10.1371/journal.pone.0037493
– volume: 124
  start-page: 33
  issue: 1–2
  year: 2010
  ident: 10.1016/j.ejor.2015.12.018_bib0030
  article-title: Computable representations for convex hulls of low-dimensional quadratic forms
  publication-title: Mathematical Programming
  doi: 10.1007/s10107-010-0355-9
– volume: 35
  start-page: 2729
  year: 2011
  ident: 10.1016/j.ejor.2015.12.018_bib0439
  article-title: Using redundancy to strengthen the relaxation for the global optimization of MINLP problems
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/j.compchemeng.2011.01.035
– volume: 57
  start-page: 434
  issue: 2
  year: 2011
  ident: 10.1016/j.ejor.2015.12.018_bib0019
  article-title: Global superstructure optimization for the design of integrated process water networks
  publication-title: AIChE Journal
  doi: 10.1002/aic.12276
– volume: 81
  start-page: 2
  year: 2015
  ident: 10.1016/j.ejor.2015.12.018_bib0238
  article-title: A multi-scale framework for CO2 capture, utilization and sequestration: CCUS and CCU
  publication-title: Computers and Chemical Engineering
  doi: 10.1016/j.compchemeng.2015.04.034
– start-page: 561
  year: 2010
  ident: 10.1016/j.ejor.2015.12.018_bib0244
  article-title: Nonlinear integer programming
– volume: 77
  start-page: 79
  issue: 0
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0272
  article-title: Fixed-flowrate total water network synthesis under uncertainty with risk management
  publication-title: Journal of Cleaner Production
  doi: 10.1016/j.jclepro.2014.01.023
– volume: 29
  start-page: 249
  issue: 3
  year: 2004
  ident: 10.1016/j.ejor.2015.12.018_bib0020
  article-title: Computational experience with a new class of convex underestimators: Box-constrained NLP problems
  publication-title: Journal of Global Optimization
  doi: 10.1023/B:JOGO.0000044768.75992.10
– volume: Vol. 7874
  start-page: 355
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0208
  article-title: Learning and propagating Lagrangian variable bounds for mixed-integer nonlinear programming
– volume: 37
  start-page: 113
  issue: 1
  year: 2007
  ident: 10.1016/j.ejor.2015.12.018_bib0423
  article-title: Improved strategies for radial basis function methods for global optimization
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-006-9040-1
– volume: 60
  start-page: 425
  issue: 3
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0275
  article-title: Branch-and-sandwich: a deterministic global optimization algorithm for optimistic bilevel programming problems. Part I: Theoretical development
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-013-0121-7
– volume: 24
  start-page: 669
  issue: 4-5
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0491
  article-title: Pswarm: a hybrid solver for linearly constrained global derivative-free optimization
  publication-title: Optimization Methods and Software
  doi: 10.1080/10556780902909948
– volume: 7
  start-page: 483
  issue: 1
  year: 2006
  ident: 10.1016/j.ejor.2015.12.018_bib0434
  article-title: Novel metaheuristic for parameter estimation in nonlinear dynamic biological systems
  publication-title: BMC Bioinformatics
  doi: 10.1186/1471-2105-7-483
– year: 1999
  ident: 10.1016/j.ejor.2015.12.018_bib0461
– volume: 22
  start-page: S229
  issue: 1
  year: 1998
  ident: 10.1016/j.ejor.2015.12.018_bib0221
  article-title: Total process optimization in chemical engineering with evolutionary algorithms
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/S0098-1354(98)00059-3
– volume: 138
  start-page: 531
  issue: 1–2
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0479
  article-title: Explicit convex and concave envelopes through polyhedral subdivisions
  publication-title: Mathematical Programming
  doi: 10.1007/s10107-012-0581-4
– volume: 47
  start-page: 2
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0222
  article-title: Advances in mathematical programming models for enterprise-wide optimization
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/j.compchemeng.2012.06.038
– volume: 22
  start-page: 1
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0065
  article-title: Mixed-integer nonlinear optimization
  publication-title: Acta Numerica
  doi: 10.1017/S0962492913000032
– volume: 27
  start-page: 5
  issue: 1
  year: 2004
  ident: 10.1016/j.ejor.2015.12.018_bib0069
  article-title: On the construction of convex and concave envelope formulas for bilinear and fractional functions on quadrilaterals
  publication-title: Computational Optimization and Applications
  doi: 10.1023/B:COAP.0000004976.52180.7f
– volume: 21
  start-page: 345
  issue: 4
  year: 2001
  ident: 10.1016/j.ejor.2015.12.018_bib0261
  article-title: A taxonomy of global optimization methods based on response surfaces
  publication-title: Journal of Global Optimization
  doi: 10.1023/A:1012771025575
– volume: 144
  start-page: 315
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0073
  article-title: Undercover: a primal MINLP heuristic exploring a largest sub-MIP
  publication-title: Mathematical Programming
  doi: 10.1007/s10107-013-0635-2
– volume: 41
  start-page: W11427
  issue: 11
  year: 2005
  ident: 10.1016/j.ejor.2015.12.018_bib0380
  article-title: Comparison of function approximation, heuristic, and derivative-based methods for automatic calibration of computationally expensive groundwater bioremediation models
  publication-title: Water Resources Research
  doi: 10.1029/2005WR004134
– volume: 12
  start-page: 531
  issue: 6
  year: 1988
  ident: 10.1016/j.ejor.2015.12.018_bib0186
  article-title: A mixed-integer nonlinear programming formulation for the synthesis of heat-integrated distillation sequences
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/0098-1354(88)87003-0
– volume: 17
  start-page: 822
  issue: 3
  year: 2006
  ident: 10.1016/j.ejor.2015.12.018_bib0290
  article-title: Convergent SDP relaxations in polynomial optimization with sparsity
  publication-title: SIAM Journal on Optimization
  doi: 10.1137/05064504X
– volume: 7933
  start-page: 212
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0074
  article-title: Undercover branching
– volume: 9
  start-page: 1082
  issue: 4
  year: 1999
  ident: 10.1016/j.ejor.2015.12.018_bib0297
  article-title: Pattern search algorithms for bound constrained minimization
  publication-title: SIAM Journal on Optimization
  doi: 10.1137/S1052623496300507
– volume: 40
  start-page: 132
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0486
  article-title: Global optimization of water networks design using multiparametric disaggregation
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/j.compchemeng.2012.02.018
– ident: 10.1016/j.ejor.2015.12.018_bib0171
– volume: 54
  start-page: 991
  issue: 4
  year: 2008
  ident: 10.1016/j.ejor.2015.12.018_bib0507
  article-title: Piecewise MILP under-and overestimators for global optimization of bilinear programs
  publication-title: AIChE Journal
  doi: 10.1002/aic.11425
– volume: 21
  start-page: 351
  issue: 4
  year: 1997
  ident: 10.1016/j.ejor.2015.12.018_bib0342
  article-title: Global optimization in generalized geometric programming
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/S0098-1354(96)00282-7
– volume: 17
  start-page: 97
  issue: 2
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0099
  article-title: Non-convex mixed-integer nonlinear programming: A survey
  publication-title: Surveys in Operations Research and Management Science
  doi: 10.1016/j.sorms.2012.08.001
– volume: 24
  start-page: 959
  issue: 3
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0169
  article-title: A linesearch-based derivative-free approach for nonsmooth constrained optimization
  publication-title: SIAM Journal on Optimization
  doi: 10.1137/130940037
– volume: 61
  start-page: 717
  issue: 6
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0466
  article-title: On jet-convex functions and their tensor products
  publication-title: Optimization
  doi: 10.1080/02331934.2011.619535
– year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0154
  article-title: Constraint aggregation for rigorous global optimization
  publication-title: Mathematical Programming
– volume: 28
  start-page: 84
  issue: 1
  year: 1989
  ident: 10.1016/j.ejor.2015.12.018_bib0125
  article-title: Synthesis of utility systems integrated with chemical processes
  publication-title: Industrial & Engineering Chemistry Research
  doi: 10.1021/ie00085a015
– volume: 136
  start-page: 325
  issue: 2
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0333
  article-title: Some results on the strength of relaxations of multilinear functions
  publication-title: Mathematical Programming
  doi: 10.1007/s10107-012-0606-z
– volume: 11
  start-page: 573
  issue: 3
  year: 2001
  ident: 10.1016/j.ejor.2015.12.018_bib0007
  article-title: Filter pattern search algorithms for mixed variable constrained optimization problems
  publication-title: The SIAM Journal on Optimization
  doi: 10.1137/S1052623499352024
– volume: 156
  start-page: 2439
  issue: 13
  year: 2008
  ident: 10.1016/j.ejor.2015.12.018_bib0455
  article-title: A clique algorithm for standard quadratic programming
  publication-title: Discrete Applied Mathematics
  doi: 10.1016/j.dam.2007.09.020
– year: 2010
  ident: 10.1016/j.ejor.2015.12.018_bib0195
  article-title: Mixed-integer nonlinear problems in transportation applications
– volume: 34
  start-page: 163
  issue: 2
  year: 1986
  ident: 10.1016/j.ejor.2015.12.018_bib0436
  article-title: Global minimization of large-scale constrained concave quadratic problems by separable programming
  publication-title: Mathematical Programming
  doi: 10.1007/BF01580581
– volume: 18
  start-page: 343
  issue: 2
  year: 1979
  ident: 10.1016/j.ejor.2015.12.018_bib0225
  article-title: Optimum design of multipurpose chemical plants
  publication-title: Industrial & Engineering Chemistry Process Design and Development
  doi: 10.1021/i260070a031
– volume: 34
  start-page: 263
  issue: 3
  year: 2002
  ident: 10.1016/j.ejor.2015.12.018_bib0448
  article-title: Exploration of metamodeling sampling criteria for constrained global optimization
  publication-title: Engineering Optimization
  doi: 10.1080/03052150211751
– volume: 24
  start-page: 2093
  year: 2000
  ident: 10.1016/j.ejor.2015.12.018_bib0049
  article-title: A review of recent design procedures for water networks in refineries and process plants
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/S0098-1354(00)00579-2
– volume: 46
  start-page: 1361
  issue: 5 - 6
  year: 1991
  ident: 10.1016/j.ejor.2015.12.018_bib0282
  article-title: Synthesis of isothermal reactor–separator–recycle systems
  publication-title: Chemical Engineering Science
  doi: 10.1016/0009-2509(91)85063-4
– volume: 48
  start-page: 41
  issue: 1
  year: 2010
  ident: 10.1016/j.ejor.2015.12.018_bib0457
  article-title: A genetic algorithm for a global optimization problem arising in the detection of gravitational waves
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-010-9525-9
– volume: 10
  start-page: 47
  issue: 1
  year: 2005
  ident: 10.1016/j.ejor.2015.12.018_bib0293
  article-title: A rigorous global filtering algorithm for quadratic constraints
  publication-title: Constraints
  doi: 10.1007/s10601-004-5307-7
– volume: 19
  start-page: 497
  issue: 4
  year: 2007
  ident: 10.1016/j.ejor.2015.12.018_bib0425
  article-title: A stochastic radial basis function method for the global optimization of expensive functions
  publication-title: INFORMS Journal on Computing
  doi: 10.1287/ijoc.1060.0182
– volume: 51
  start-page: 569
  year: 2011
  ident: 10.1016/j.ejor.2015.12.018_bib0454
  article-title: Generalized McCormick relaxations
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-011-9664-7
– volume: 4
  start-page: 1
  issue: 1
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0383
  article-title: Rounding-based heuristics for nonconvex MINLPs
  publication-title: Mathematical Programming Computation
  doi: 10.1007/s12532-011-0032-x
– volume: 58
  start-page: 613
  issue: 4
  year: 2014
  ident: 10.1016/j.ejor.2015.12.018_bib0109
  article-title: Aircraft deconfliction with speed regulation: new models from mixed-integer optimization
  publication-title: Journal of Global Optimization
  doi: 10.1007/s10898-013-0070-1
– volume: 24
  start-page: 657
  issue: 4–5
  year: 2009
  ident: 10.1016/j.ejor.2015.12.018_bib0316
  article-title: The global solver in the LINDO API
  publication-title: Optimization Methods and Software
  doi: 10.1080/10556780902753221
– volume: 2
  start-page: 739
  issue: 4
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0075
  article-title: Analyzing the computational impact of MIQCP solver components
  publication-title: Numerical Algebra, Control and Optimization
  doi: 10.3934/naco.2012.2.739
– volume: 58
  start-page: 205
  issue: 1
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0301
  article-title: Continuous-time modeling and global optimization approach for scheduling of crude oil operations
  publication-title: AIChE Journal
  doi: 10.1002/aic.12623
– volume: 20, Supplement 1
  start-page: S121
  year: 1996
  ident: 10.1016/j.ejor.2015.12.018_bib0234
  article-title: Different formulations for solving trim loss problems in a paper-converting mill with ILP
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/0098-1354(96)00031-2
– volume: 25
  start-page: 665
  issue: 4–6
  year: 2001
  ident: 10.1016/j.ejor.2015.12.018_bib0314
  article-title: Design, synthesis and scheduling of multipurpose batch plants via an effective continuous-time formulation
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/S0098-1354(01)00663-9
– volume: 76
  start-page: 1
  year: 2013
  ident: 10.1016/j.ejor.2015.12.018_bib0064
  article-title: On the composition of convex envelopes for quadrilinear terms
– volume: 23
  start-page: 605
  issue: 4
  year: 2011
  ident: 10.1016/j.ejor.2015.12.018_bib0155
  article-title: Combination of nonlinear and linear optimization of transient gas networks
  publication-title: INFORMS Journal on Computing
  doi: 10.1287/ijoc.1100.0429
– volume: 46
  start-page: 105
  year: 2012
  ident: 10.1016/j.ejor.2015.12.018_bib0167
  article-title: Process synthesis of biodiesel production plant using artificial neural networks as the surrogate models
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/j.compchemeng.2012.06.006
– volume: 22
  start-page: 357
  issue: 3
  year: 1998
  ident: 10.1016/j.ejor.2015.12.018_bib0506
  article-title: An extended cutting plane method for a class of non-convex MINLP problems
  publication-title: Computers & Chemical Engineering
  doi: 10.1016/S0098-1354(97)00000-8
– ident: 10.1016/j.ejor.2015.12.018_bib0391
SSID ssj0001515
Score 2.6026194
SecondaryResourceType review_article
Snippet •We review the recent advances in global optimization for Mixed Integer Nonlinear Programming, MINLP.•We review the recent advances in global optimization for...
This manuscript reviews recent advances in deterministic global optimization for Mixed-Integer Nonlinear Programming (MINLP), as well as Constrained...
SourceID proquest
crossref
elsevier
SourceType Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 701
SubjectTerms Algorithms
Applications programs
Benchmarking
Benchmarks
Computer programs
Constraints
Derivative-free
Deterministic global optimization
Grey-/Black-box
Integer programming
Literature reviews
Mathematical problems
MINLP
Nonlinear programming
Optimization
Optimization algorithms
Software packages
Studies
Title Global optimization advances in Mixed-Integer Nonlinear Programming, MINLP, and Constrained Derivative-Free Optimization, CDFO
URI https://dx.doi.org/10.1016/j.ejor.2015.12.018
https://www.proquest.com/docview/1777966315
https://www.proquest.com/docview/1816048170
Volume 252
WOSCitedRecordID wos000373865500002&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVESC
  databaseName: Elsevier SD Freedom Collection Journals 2021
  customDbUrl:
  eissn: 1872-6860
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0001515
  issn: 0377-2217
  databaseCode: AIEXJ
  dateStart: 19950105
  isFulltext: true
  titleUrlDefault: https://www.sciencedirect.com
  providerName: Elsevier
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV3Nb9MwFLfKhhAc-CggCgMZiVuXqXHq2j4WWMXQ1u0wpN4iN3Gkli6Z0qbqiX-Nf43nrywr6sQOXKLKiR037-f3np_fB0KfCJsqkHOw0sJEBX1FVMD7UgSUM5JSoXgyNdn1T9l4zCcTcdFq_faxMOsFy3O-2Yjr_0pqaANi69DZe5C7HhQa4DcQHa5Adrj-E-FtFv9uAbzgygVZ-pN-4_t6NtuoNNCWQBPwa1NlyFKHDGhPrStX5OTsZHx64X07dVlPU0xCab_l0lREW6tgVCrVPW-8yJhdv47Od9r7ne4LDaW3Qrp0Q7VZ-nNR_Swq-CJGrR3JfFaDYrZULj5HO-bfQK-oUtlMlZAW1aJYdodHTZtGOKg96upYLsYCQmxUp-fThJIGIKMG12WurxXgzCYb-Es2WDPF_EjNC50INqTGDuy4_61E3FsCsnZb9B5x81iPEesx4pDEMMYDtE8YFcBW94cnx5PvtTKg9UVzkOX-kIvbsi6G2zPZpRttaQlG9bl8jp66PQseWqy9QC2Vt9EjHzLRRs98aRDsJEUbPWnkuXyJfllM4iYmsccknuX4FiZxjUncwOQhNog8xIBH3MAj3sIjbuLxEGs0vkI_RseXX74FrvBHkFA6WAVZFMkE9tVJJJQUiVDTNOplU9C1spCkikoOtzPJQXjIXpgR2AUoQmUv7QPnYSmPXqO9vMjVG4QTKbIomypBE9ibcyojnvWBA3HJU0b6aQeF_pPHicuKr-e_iHcTu4O6dZ9rmxPmzqepp2TstFqrrcYAzDv7HXiyx26BLuOQMSZgkxDSDvpY3waJoI_5ZK6KCp7h4UBngWK9t_ea6Dv0-GYtHqC9VVmp9-hhsl7NluUHB-w_Crfd9A
linkProvider Elsevier
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Global+optimization+advances+in+Mixed-Integer+Nonlinear+Programming%2C+MINLP%2C+and+Constrained+Derivative-Free+Optimization%2C+CDFO&rft.jtitle=European+journal+of+operational+research&rft.au=Boukouvala%2C+Fani&rft.au=Misener%2C+Ruth&rft.au=Floudas%2C+Christodoulos+A.&rft.date=2016-08-01&rft.issn=0377-2217&rft.volume=252&rft.issue=3&rft.spage=701&rft.epage=727&rft_id=info:doi/10.1016%2Fj.ejor.2015.12.018&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_j_ejor_2015_12_018
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0377-2217&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0377-2217&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0377-2217&client=summon