Dynamically generated cutting planes for mixed-integer quadratically constrained quadratic programs and their incorporation into GloMIQO 2
The global mixed-integer quadratic optimizer, GloMIQO, addresses mixed-integer quadratically constrained quadratic programs (MIQCQP) to ε-global optimality. This paper documents the branch-and-cut framework integrated into GloMIQO 2. Cutting planes are derived from reformulation-linearization techni...
Saved in:
| Published in: | Optimization methods & software Vol. 30; no. 1; pp. 215 - 249 |
|---|---|
| Main Authors: | , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Abingdon
Taylor & Francis
02.01.2015
Taylor & Francis Ltd |
| Subjects: | |
| ISSN: | 1055-6788, 1029-4937 |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Abstract | The global mixed-integer quadratic optimizer, GloMIQO, addresses mixed-integer quadratically constrained quadratic programs (MIQCQP) to ε-global optimality. This paper documents the branch-and-cut framework integrated into GloMIQO 2. Cutting planes are derived from reformulation-linearization technique equations, convex multivariable terms, αBB convexifications, and low- and high-dimensional edge-concave aggregations. Cuts are based on both individual equations and collections of nonlinear terms in MIQCQP. Novel contributions of this paper include: development of a corollary to Crama's [Concave extensions for nonlinear 0-1 maximization problems, Math. Program. 61 (1993), pp. 53-60] necessary and sufficient condition for the existence of a cut dominating the termwise relaxation of a bilinear expression; algorithmic descriptions for deriving each class of cut; presentation of a branch-and-cut framework integrating the cuts. Computational results are presented along with comparison of the GloMIQO 2 performance to several state-of-the-art solvers. |
|---|---|
| AbstractList | The global mixed-integer quadratic optimizer, GloMIQO, addresses mixed-integer quadratically constrained quadratic programs (MIQCQP) to epsilon -global optimality. This paper documents the branch-and-cut framework integrated into GloMIQO 2. Cutting planes are derived from reformulation-linearization technique equations, convex multivariable terms, alpha BB convexifications, and low- and high-dimensional edge-concave aggregations. Cuts are based on both individual equations and collections of nonlinear terms in MIQCQP. Novel contributions of this paper include: development of a corollary to Crama's [Concave extensions for nonlinear 0-1 maximization problems, Math. Program. 61 (1993), pp. 53-60] necessary and sufficient condition for the existence of a cut dominating the termwise relaxation of a bilinear expression; algorithmic descriptions for deriving each class of cut; presentation of a branch-and-cut framework integrating the cuts. Computational results are presented along with comparison of the GloMIQO 2 performance to several state-of-the-art solvers. The global mixed-integer quadratic optimizer, GloMIQO, addresses mixed-integer quadratically constrained quadratic programs (MIQCQP) to ε-global optimality. This paper documents the branch-and-cut framework integrated into GloMIQO 2. Cutting planes are derived from reformulation-linearization technique equations, convex multivariable terms, αBB convexifications, and low- and high-dimensional edge-concave aggregations. Cuts are based on both individual equations and collections of nonlinear terms in MIQCQP. Novel contributions of this paper include: development of a corollary to Crama's [Concave extensions for nonlinear 0-1 maximization problems, Math. Program. 61 (1993), pp. 53-60] necessary and sufficient condition for the existence of a cut dominating the termwise relaxation of a bilinear expression; algorithmic descriptions for deriving each class of cut; presentation of a branch-and-cut framework integrating the cuts. Computational results are presented along with comparison of the GloMIQO 2 performance to several state-of-the-art solvers. The global mixed-integer quadratic optimizer, GloMIQO, addresses mixed-integer quadratically constrained quadratic programs (MIQCQP) to [epsilon]-global optimality. This paper documents the branch-and-cut framework integrated into GloMIQO 2. Cutting planes are derived from reformulation-linearization technique equations, convex multivariable terms, αBB convexifications, and low- and high-dimensional edge-concave aggregations. Cuts are based on both individual equations and collections of nonlinear terms in MIQCQP. Novel contributions of this paper include: development of a corollary to Crama's [Concave extensions for nonlinear 0-1 maximization problems, Math. Program. 61 (1993), pp. 53-60] necessary and sufficient condition for the existence of a cut dominating the termwise relaxation of a bilinear expression; algorithmic descriptions for deriving each class of cut; presentation of a branch-and-cut framework integrating the cuts. Computational results are presented along with comparison of the GloMIQO 2 performance to several state-of-the-art solvers. |
| Author | Floudas, Christodoulos A. Smadbeck, James B. Misener, Ruth |
| Author_xml | – sequence: 1 givenname: Ruth surname: Misener fullname: Misener, Ruth organization: Department of Chemical Engineering, Imperial College London, South Kensington Campus – sequence: 2 givenname: James B. surname: Smadbeck fullname: Smadbeck, James B. organization: Department of Chemical and Biological Engineering, Princeton University – sequence: 3 givenname: Christodoulos A. surname: Floudas fullname: Floudas, Christodoulos A. email: floudas@titan.princeton.edu organization: Department of Chemical and Biological Engineering, Princeton University |
| BookMark | eNqFkU1vFSEUholpE9vqP3BB4sbNXGGGj8GNMbXWJjWNia4Jw8eVhoFbYGLvX_BXy_RWF13oCsh5npPDeU_BUUzRAvAKow1GI3qLEaWMj-OmR5hsBGb9yJ-BE4x60REx8KP1Tmm3Ms_BaSm3CCGCCTsBvz7uo5q9ViHs4dZGm1W1BuqlVh-3cBdUtAW6lOHs763pfKx2azO8W5Rp6KOoUyw1Kx-b-rcCdzlts5oLVNHA-sP6DH3UKe_SWk-xvWqClyF9ufp6A_sX4NipUOzLx_MMfP908e38c3d9c3l1_uG602QktVPDMDHKse0FpY6LSTnh7MR6ZSbhiJgQ19xQ55higqIJU24GSi3h1Iyc2eEMvDn0bfPdLbZUOfuibVi_mpYiMaOYYIERaejrJ-htWnJs0zWqZ_3ABUKNIgdK51RKtk7usp9V3kuM5BqQ_BOQXAOSh4Ca9u6Jpn19WMy6yvA_-f1B9rGFM6ufKQcjq9qHlF1WUfsih392-A0uBa2t |
| CitedBy_id | crossref_primary_10_1007_s10107_020_01484_3 crossref_primary_10_1007_s12532_018_0133_x crossref_primary_10_1007_s10898_019_00844_4 crossref_primary_10_1007_s10107_020_01541_x crossref_primary_10_1016_j_compchemeng_2022_107909 crossref_primary_10_1007_s40998_018_0082_4 crossref_primary_10_1007_s10107_016_1095_2 crossref_primary_10_1080_10556788_2016_1264397 crossref_primary_10_1007_s10107_017_1158_z crossref_primary_10_1016_j_ces_2016_10_039 crossref_primary_10_1016_j_compchemeng_2016_07_002 crossref_primary_10_1016_j_compchemeng_2018_04_022 crossref_primary_10_1016_j_compchemeng_2019_106599 crossref_primary_10_1002_aic_15308 crossref_primary_10_1080_10556788_2022_2157002 crossref_primary_10_1007_s10107_016_1031_5 crossref_primary_10_1016_j_ejor_2015_12_018 crossref_primary_10_1007_s10898_023_01345_1 crossref_primary_10_1287_ijoc_2024_0909 crossref_primary_10_1002_aic_15220 crossref_primary_10_1007_s10107_018_1246_8 crossref_primary_10_1287_ijoc_2023_0390 crossref_primary_10_1137_19M1277333 crossref_primary_10_1002_aic_15168 crossref_primary_10_1016_j_disopt_2020_100569 crossref_primary_10_1080_10556788_2017_1350675 crossref_primary_10_1007_s10898_016_0434_4 crossref_primary_10_1007_s10898_018_0649_7 crossref_primary_10_1007_s10898_025_01513_5 crossref_primary_10_1016_j_compchemeng_2017_03_001 crossref_primary_10_1007_s11081_020_09551_6 crossref_primary_10_1287_moor_2021_1162 crossref_primary_10_1287_moor_2021_1121 crossref_primary_10_1137_19M1271762 crossref_primary_10_1002_aic_15416 crossref_primary_10_1007_s10898_017_0577_y crossref_primary_10_1007_s10957_024_02569_1 crossref_primary_10_3390_pr7110838 |
| Cites_doi | 10.1080/10556780902753221 10.1007/s10898-014-0166-2 10.1287/moor.20.3.550 10.1002/aic.10717 10.1080/10556788.2013.783032 10.1007/978-1-4614-1927-3_14 10.1007/s10107-004-0549-0 10.1016/j.jcta.2006.04.002 10.1021/ie950519h 10.1007/BF01099647 10.1016/j.compchemeng.2013.01.016 10.1007/s10107-003-0437-z 10.1007/s10479-009-0592-6 10.1093/oso/9780195100563.001.0001 10.1007/BF01096418 10.1016/j.compchemeng.2005.02.006 10.1021/ie0340995 10.1007/s10107-006-0080-6 10.1007/BF01096415 10.1287/opre.38.2.217 10.1007/BF01580665 10.1016/S0098-1354(98)00027-1 10.1007/978-1-4614-1927-3_15 10.1016/S0098-1354(98)00218-X 10.1007/s101079900106 10.1147/rd.471.0057 10.1007/BF01097059 10.1016/j.resconrec.2006.06.013 10.1021/ie8019592 10.1007/s10098-008-0172-5 10.1002/aic.11280 10.1016/0167-6377(90)90057-C 10.1007/s10957-013-0396-3 10.1007/BF01100203 10.1016/0095-8956(82)90028-4 10.1007/978-3-540-68155-7_4 10.1007/978-1-4614-1927-3_18 10.1002/aic.11385 10.1007/s10898-013-0129-z 10.1007/s10107-012-0606-z 10.1007/s10107-005-0581-8 10.1080/10556780902883184 10.1016/S0167-6377(97)00013-8 10.1016/0166-218X(88)90093-5 10.3934/naco.2012.2.739 10.1007/s10107-012-0555-6 10.1007/BF01098364 10.1023/A:1013886408463 10.1007/978-1-4757-4949-6 10.1007/s10898-011-9792-0 10.1016/j.compchemeng.2010.02.014 10.1007/s10107-010-0371-9 10.1016/j.compchemeng.2005.11.005 10.1007/BF01587085 10.1007/11751595_95 10.1021/ie800257x 10.1007/978-1-4757-3040-1 10.1016/j.disopt.2006.10.011 10.1007/s10898-007-9274-6 10.1016/S0165-1889(97)00032-8 10.1007/s10898-008-9372-0 10.1007/s10107-012-0581-4 10.1080/10556780903087124 10.1007/s101070100263 10.1023/A:1009795911987 10.1007/s10107-004-0550-7 10.1016/j.dam.2007.09.020 10.1287/mnsc.1030.0207 10.1016/j.compchemeng.2012.02.018 10.1007/s10898-010-9630-9 10.1007/s10107-012-0602-3 10.1007/978-3-662-03199-5 10.1007/BF01582138 10.1007/s11590-007-0065-2 10.1007/978-1-4614-1927-3_13 10.1007/s12532-011-0033-9 10.1002/aic.12419 10.1016/j.apenergy.2009.01.022 10.1007/s10107-010-0340-3 10.1007/s101070100251 10.1016/j.compchemeng.2011.01.041 10.1007/s10898-006-9005-4 10.1287/ijoc.15.1.114.15159 10.1021/ie100064q 10.1002/aic.12623 10.1016/j.ces.2007.09.033 10.1007/BF00122429 10.1007/s10898-012-0022-1 10.1090/dimacs/016/02 10.1007/s12532-008-0001-1 10.1023/A:1008217604285 10.1002/aic.12276 10.1016/j.compchemeng.2011.01.026 10.1016/j.ejor.2005.09.032 10.1007/s10898-012-9874-7 10.1007/s10898-008-9332-8 10.1016/j.compchemeng.2013.01.013 10.1007/978-3-642-38171-3_26 10.1006/jcta.2001.3225 10.1006/jctb.2000.2011 |
| ContentType | Journal Article |
| Copyright | 2014 Taylor & Francis 2014 2014 Taylor & Francis |
| Copyright_xml | – notice: 2014 Taylor & Francis 2014 – notice: 2014 Taylor & Francis |
| DBID | AAYXX CITATION 7SC 8FD JQ2 L7M L~C L~D |
| DOI | 10.1080/10556788.2014.916287 |
| DatabaseName | CrossRef Computer and Information Systems Abstracts Technology Research Database ProQuest Computer Science Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional |
| DatabaseTitle | CrossRef Computer and Information Systems Abstracts Technology Research Database Computer and Information Systems Abstracts – Academic Advanced Technologies Database with Aerospace ProQuest Computer Science Collection Computer and Information Systems Abstracts Professional |
| DatabaseTitleList | Computer and Information Systems Abstracts Computer and Information Systems Abstracts |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering |
| EISSN | 1029-4937 |
| EndPage | 249 |
| ExternalDocumentID | 3501991801 10_1080_10556788_2014_916287 916287 |
| Genre | Article |
| GroupedDBID | .4S .7F .DC .QJ 0BK 0R~ 123 29N 30N 4.4 5VS AAENE AAGDL AAHIA AAJMT AALDU AAMIU AAPUL AAQRR ABCCY ABDBF ABFIM ABHAV ABJNI ABLIJ ABPAQ ABPEM ABTAI ABXUL ABXYU ACGEJ ACGFS ACIWK ACTIO ACUHS ADCVX ADGTB ADXPE AEISY AENEX AEOZL AEPSL AEYOC AFKVX AFRVT AGDLA AGMYJ AHDZW AIJEM AIYEW AJWEG AKBVH AKOOK ALMA_UNASSIGNED_HOLDINGS ALQZU AMVHM AQRUH AQTUD ARCSS AVBZW AWYRJ BLEHA CCCUG CE4 CS3 DGEBU DKSSO DU5 EAP EBS EDO EMK EPL EST ESX E~A E~B F5P GTTXZ H13 HF~ HZ~ H~P I-F IPNFZ J.P KYCEM M4Z NA5 NY~ O9- P2P PQQKQ RIG RNANH ROSJB RTWRZ S-T SNACF TASJS TBQAZ TDBHL TEJ TFL TFT TFW TTHFI TUROJ TUS TWF UT5 UU3 ZGOLN ~S~ AAYXX CITATION 7SC 8FD JQ2 L7M L~C L~D |
| ID | FETCH-LOGICAL-c484t-a33b6571e2955f79baf9feb62adb9f49b07c7d5ff6a6950b157d355e475d876e3 |
| IEDL.DBID | TFW |
| ISICitedReferencesCount | 33 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000345371800009&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 1055-6788 |
| IngestDate | Wed Jul 30 10:25:25 EDT 2025 Wed Aug 13 03:12:38 EDT 2025 Tue Nov 18 22:09:57 EST 2025 Sat Nov 29 02:36:05 EST 2025 Mon Oct 20 23:35:14 EDT 2025 |
| IsDoiOpenAccess | false |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 1 |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c484t-a33b6571e2955f79baf9feb62adb9f49b07c7d5ff6a6950b157d355e475d876e3 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 content type line 23 |
| OpenAccessLink | https://figshare.com/articles/journal_contribution/Dynamically_generated_cutting_planes_for_mixed_integer_quadratically_constrained_quadratic_programs_and_their_incorporation_into_GloMIQO_2/1310478 |
| PQID | 1626237900 |
| PQPubID | 186278 |
| PageCount | 35 |
| ParticipantIDs | informaworld_taylorfrancis_310_1080_10556788_2014_916287 crossref_primary_10_1080_10556788_2014_916287 crossref_citationtrail_10_1080_10556788_2014_916287 proquest_miscellaneous_1651419104 proquest_journals_1626237900 |
| PublicationCentury | 2000 |
| PublicationDate | 2015-01-02 |
| PublicationDateYYYYMMDD | 2015-01-02 |
| PublicationDate_xml | – month: 01 year: 2015 text: 2015-01-02 day: 02 |
| PublicationDecade | 2010 |
| PublicationPlace | Abingdon |
| PublicationPlace_xml | – name: Abingdon |
| PublicationTitle | Optimization methods & software |
| PublicationYear | 2015 |
| Publisher | Taylor & Francis Taylor & Francis Ltd |
| Publisher_xml | – name: Taylor & Francis – name: Taylor & Francis Ltd |
| References | CIT0071 CIT0074 CIT0076 CIT0075 CIT0078 CIT0111 CIT0077 CIT0110 CIT0070 De Loera J. (CIT0036) 2010 CIT0113 CIT0079 CIT0112 CIT0115 CIT0114 CIT0117 CIT0118 CIT0083 CIT0085 CIT0087 CIT0120 CIT0086 CIT0001 CIT0089 CIT0088 CIT0081 CIT0080 Nowak I. (CIT0084) 2005 CIT0003 CIT0002 CIT0005 CIT0006 CIT0009 CIT0008 CIT0094 CIT0093 CIT0096 CIT0098 CIT0097 CIT0012 CIT0011 CIT0099 CIT0090 CIT0092 CIT0014 CIT0016 CIT0015 CIT0018 CIT0017 CIT0019 CIT0021 CIT0020 CIT0023 CIT0022 Tawarmalani M. (CIT0107) 2002 Gau C.Y. (CIT0046) 2003 CIT0025 CIT0024 CIT0026 CIT0029 Adams W.P. (CIT0004) 1994 CIT0028 CIT0030 CIT0032 CIT0031 CIT0034 CIT0033 Floudas C.A. (CIT0040) 1995 Schrijver A. (CIT0095) 1998 CIT0035 CIT0037 Jünger M. (CIT0051) 2001; 91 CIT0039 Strang G. (CIT0103) 2003 CIT0041 CIT0043 CIT0042 CIT0045 CIT0044 Sherali H.D. (CIT0100) 1997; 22 CIT0049 CIT0048 CIT0050 Tardella F. (CIT0105) 2003 CIT0052 Anstreicher K.M. (CIT0010) 2003; 97 Bussieck M.R. (CIT0027) 2010 CIT0054 CIT0053 CIT0056 CIT0055 CIT0058 CIT0057 CIT0059 CIT0061 CIT0060 Gerschgorin S. (CIT0047) 1931; 6 CIT0063 CIT0062 CIT0065 CIT0064 CIT0067 CIT0066 CIT0109 Sherali H.D. (CIT0102) 1999 CIT0069 CIT0068 CIT0101 CIT0104 CIT0106 Audet C. (CIT0013) 2000; 87 CIT0108 |
| References_xml | – ident: CIT0064 doi: 10.1080/10556780902753221 – ident: CIT0076 doi: 10.1007/s10898-014-0166-2 – ident: CIT0087 doi: 10.1287/moor.20.3.550 – ident: CIT0074 doi: 10.1002/aic.10717 – volume: 22 start-page: 245 year: 1997 ident: CIT0100 publication-title: Acta Math. Vietnam – ident: CIT0120 doi: 10.1080/10556788.2013.783032 – ident: CIT0088 doi: 10.1007/978-1-4614-1927-3_14 – ident: CIT0114 doi: 10.1007/s10107-004-0549-0 – ident: CIT0016 doi: 10.1016/j.jcta.2006.04.002 – ident: CIT0058 doi: 10.1021/ie950519h – ident: CIT0009 doi: 10.1007/BF01099647 – volume: 6 start-page: 749 year: 1931 ident: CIT0047 publication-title: Izv. Akad. Nauk SSSR, Ser, Fiz. mat – ident: CIT0057 doi: 10.1016/j.compchemeng.2013.01.016 – volume: 97 start-page: 27 year: 2003 ident: CIT0010 publication-title: Math. Program doi: 10.1007/s10107-003-0437-z – ident: CIT0090 doi: 10.1007/s10479-009-0592-6 – volume-title: Nonlinear and Mixed-Integer Optimization: Fundamentals and Applications year: 1995 ident: CIT0040 doi: 10.1093/oso/9780195100563.001.0001 – ident: CIT0065 doi: 10.1007/BF01096418 – ident: CIT0043 doi: 10.1016/j.compchemeng.2005.02.006 – ident: CIT0055 doi: 10.1021/ie0340995 – ident: CIT0024 doi: 10.1007/s10107-006-0080-6 – ident: CIT0049 doi: 10.1007/BF01096415 – ident: CIT0003 doi: 10.1287/opre.38.2.217 – ident: CIT0071 doi: 10.1007/BF01580665 – start-page: 563 volume-title: Frontiers in Global Optimization year: 2003 ident: CIT0105 – ident: CIT0006 doi: 10.1016/S0098-1354(98)00027-1 – ident: CIT0020 doi: 10.1007/978-1-4614-1927-3_15 – ident: CIT0005 doi: 10.1016/S0098-1354(98)00218-X – volume: 87 start-page: 131 year: 2000 ident: CIT0013 publication-title: Math. Program doi: 10.1007/s101079900106 – ident: CIT0067 doi: 10.1147/rd.471.0057 – ident: CIT0069 doi: 10.1007/BF01097059 – ident: CIT0029 doi: 10.1016/j.resconrec.2006.06.013 – ident: CIT0081 doi: 10.1021/ie8019592 – ident: CIT0030 doi: 10.1007/s10098-008-0172-5 – ident: CIT0059 doi: 10.1002/aic.11280 – ident: CIT0028 doi: 10.1016/0167-6377(90)90057-C – ident: CIT0075 doi: 10.1007/s10957-013-0396-3 – ident: CIT0099 doi: 10.1007/BF01100203 – ident: CIT0112 doi: 10.1016/0095-8956(82)90028-4 – start-page: 114 volume-title: Wiley Encyclopedia of Operations Research and Management Science year: 2010 ident: CIT0027 – ident: CIT0001 doi: 10.1007/978-3-540-68155-7_4 – ident: CIT0045 doi: 10.1007/978-1-4614-1927-3_18 – ident: CIT0097 doi: 10.1002/aic.11385 – ident: CIT0052 doi: 10.1007/s10898-013-0129-z – ident: CIT0068 doi: 10.1007/s10107-012-0606-z – ident: CIT0108 doi: 10.1007/s10107-005-0581-8 – ident: CIT0018 doi: 10.1080/10556780902883184 – ident: CIT0101 doi: 10.1016/S0167-6377(97)00013-8 – ident: CIT0104 doi: 10.1016/0166-218X(88)90093-5 – ident: CIT0021 doi: 10.3934/naco.2012.2.739 – ident: CIT0079 doi: 10.1007/s10107-012-0555-6 – ident: CIT0085 doi: 10.1007/BF01098364 – ident: CIT0022 doi: 10.1023/A:1013886408463 – ident: CIT0042 doi: 10.1007/978-1-4757-4949-6 – ident: CIT0062 doi: 10.1007/s10898-011-9792-0 – ident: CIT0077 doi: 10.1016/j.compchemeng.2010.02.014 – ident: CIT0093 doi: 10.1007/s10107-010-0371-9 – ident: CIT0054 doi: 10.1016/j.compchemeng.2005.11.005 – ident: CIT0034 doi: 10.1007/BF01587085 – ident: CIT0086 doi: 10.1007/11751595_95 – ident: CIT0115 doi: 10.1021/ie800257x – ident: CIT0041 doi: 10.1007/978-1-4757-3040-1 – ident: CIT0023 doi: 10.1016/j.disopt.2006.10.011 – ident: CIT0092 – ident: CIT0053 doi: 10.1007/s10898-007-9274-6 – ident: CIT0070 doi: 10.1016/S0165-1889(97)00032-8 – ident: CIT0011 doi: 10.1007/s10898-008-9372-0 – ident: CIT0109 doi: 10.1007/s10107-012-0581-4 – ident: CIT0019 doi: 10.1080/10556780903087124 – ident: CIT0037 doi: 10.1007/s101070100263 – volume-title: International Series of Numerical Mathematics year: 2005 ident: CIT0084 – ident: CIT0117 doi: 10.1023/A:1009795911987 – ident: CIT0113 doi: 10.1007/s10107-004-0550-7 – volume-title: Algorithms and Computation in Mathematics year: 2010 ident: CIT0036 – start-page: 145 volume-title: Frontiers in Global Optimization year: 2003 ident: CIT0046 – ident: CIT0096 doi: 10.1016/j.dam.2007.09.020 – ident: CIT0015 doi: 10.1287/mnsc.1030.0207 – ident: CIT0111 doi: 10.1016/j.compchemeng.2012.02.018 – ident: CIT0118 doi: 10.1007/s10898-010-9630-9 – ident: CIT0012 doi: 10.1007/s10107-012-0602-3 – ident: CIT0050 doi: 10.1007/978-3-662-03199-5 – ident: CIT0035 doi: 10.1007/BF01582138 – ident: CIT0106 doi: 10.1007/s11590-007-0065-2 – ident: CIT0025 doi: 10.1007/978-1-4614-1927-3_13 – ident: CIT0032 doi: 10.1007/s12532-011-0033-9 – volume-title: Nonconvex Optimization and its Applications year: 2002 ident: CIT0107 – ident: CIT0060 doi: 10.1002/aic.12419 – ident: CIT0083 doi: 10.1016/j.apenergy.2009.01.022 – volume-title: Nonconvex Optimization and its Applications year: 1999 ident: CIT0102 – ident: CIT0094 doi: 10.1007/s10107-010-0340-3 – volume: 91 start-page: 175 year: 2001 ident: CIT0051 publication-title: Math. Program doi: 10.1007/s101070100251 – volume-title: Introduction to Linear Algebra year: 2003 ident: CIT0103 – ident: CIT0017 doi: 10.1016/j.compchemeng.2011.01.041 – ident: CIT0063 doi: 10.1007/s10898-006-9005-4 – ident: CIT0026 doi: 10.1287/ijoc.15.1.114.15159 – ident: CIT0039 doi: 10.1021/ie100064q – ident: CIT0061 doi: 10.1002/aic.12623 – ident: CIT0110 doi: 10.1016/j.ces.2007.09.033 – ident: CIT0098 doi: 10.1007/BF00122429 – ident: CIT0056 doi: 10.1007/s10898-012-0022-1 – start-page: 43 volume-title: Quadratic Assignment and Related Problems: DIMACS Workshop year: 1994 ident: CIT0004 doi: 10.1090/dimacs/016/02 – ident: CIT0002 doi: 10.1007/s12532-008-0001-1 – ident: CIT0089 doi: 10.1023/A:1008217604285 – ident: CIT0008 doi: 10.1002/aic.12276 – ident: CIT0078 doi: 10.1016/j.compchemeng.2011.01.026 – volume-title: Wiley-Interscience Series in Discrete Mathematics and Optimization year: 1998 ident: CIT0095 – ident: CIT0066 doi: 10.1016/j.ejor.2005.09.032 – ident: CIT0080 doi: 10.1007/s10898-012-9874-7 – ident: CIT0044 doi: 10.1007/s10898-008-9332-8 – ident: CIT0031 doi: 10.1016/j.compchemeng.2013.01.013 – ident: CIT0048 doi: 10.1007/978-3-642-38171-3_26 – ident: CIT0014 doi: 10.1006/jcta.2001.3225 – ident: CIT0033 doi: 10.1006/jctb.2000.2011 |
| SSID | ssj0004146 |
| Score | 2.2539897 |
| Snippet | The global mixed-integer quadratic optimizer, GloMIQO, addresses mixed-integer quadratically constrained quadratic programs (MIQCQP) to ε-global optimality.... The global mixed-integer quadratic optimizer, GloMIQO, addresses mixed-integer quadratically constrained quadratic programs (MIQCQP) to [epsilon]-global... The global mixed-integer quadratic optimizer, GloMIQO, addresses mixed-integer quadratically constrained quadratic programs (MIQCQP) to epsilon -global... |
| SourceID | proquest crossref informaworld |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 215 |
| SubjectTerms | Constraints Cutting cutting planes global optimization Integer programming Mathematical analysis Maximization Nonlinearity Optimization Planes quadratically constrained quadratic programming Solvers |
| Title | Dynamically generated cutting planes for mixed-integer quadratically constrained quadratic programs and their incorporation into GloMIQO 2 |
| URI | https://www.tandfonline.com/doi/abs/10.1080/10556788.2014.916287 https://www.proquest.com/docview/1626237900 https://www.proquest.com/docview/1651419104 |
| Volume | 30 |
| WOSCitedRecordID | wos000345371800009&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: PRVAWR databaseName: Taylor & Francis Journals Complete customDbUrl: eissn: 1029-4937 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0004146 issn: 1055-6788 databaseCode: TFW dateStart: 19920101 isFulltext: true titleUrlDefault: https://www.tandfonline.com providerName: Taylor & Francis |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LT9wwELYQ4lAOPFoQCxQZiavbPOw4PiJgCxKPVtq23CInttFK2126ySL4C_xqZpxkuytUkOAY2ZM49nj82Z75hpADraMoTRLOkLqXcWc4S4W1zITOCZdKzX06n1_n8vIyvb5W32ei-NGtEvfQriaK8LYaJ7fOy9Yj7qvP6QhbN3TM4l8A3wDqByMMKz_OzF7397_AyCa8CAQYSrSxc_95ydzaNMdc-sxS--Wnu_r-hq-RlQZ60sNaV9bJgh1-JMszhISfyONxnaBeDwYP9MYzUgMipcXEe0fTW_SMLSk0mP7p31vDPNmEHdO_E21QlWrBAjEnpp4A0WkJbTzBSgrNp_5-giIzRE2kDNoBT9WIfhuMLs5-XNFog_zsnvSOTlmTrYEVPOUV03GcJ0KGNlJCOKly7ZSzeRJpkyvHVR7IQhrhXKITJYI8FNIA2LFcCgMm2cabZHE4GtotQp2Ni5TbwIAcD6NE88hxiVQ5qkiCmHdI3I5TVjRU5vhbgyxsGE_bns6wp7O6pzuETaVuayqPV-qnsyqQVf4IxdX5TrL4ZdHdVl2yxiaUGZQA1pQqCDpkf1oMsxmvaGD4RhOsAwAWttAB337713fIB3gS_qAo2iWL1XhiP5Ol4q7ql-M9P0OeAEQ_Dt4 |
| linkProvider | Taylor & Francis |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1Lb9QwELagIFEOLa-KpS0YiashDzuOj1XL0ortAtICvVlObKNKy27ZZKvyF_qrmXGcpRUCJMQxGk_i2OPxZ3v8DSEvjMmysig4Q-pexr3lrBTOMZt6L3wpDQ_pfD6N5Hhcnpyo9zGasIlhlbiG9h1RRPDVOLhxM7oPiXsVkjrC2g0js_hLADgA-2-SWwKmWqTPnww__7waGS8YgQZDlf723G_ecm12usZd-ouvDhPQcPM_VP0e2Yjok-515nKf3HCzB-TuFU7Ch-TyoMtRb6bT7_RLIKUGUErrZQiQpmcYHNtQqDH9enrhLAt8E25Bvy2NRWvqFGuEnZh9AlRXEhqDwRoK9afhiIIiOUTHpQwGAk_tnL6Zzo-PPryj2SPycfh6sn_IYsIGVvOSt8zkeVUImbpMCeGlqoxX3lVFZmylPFdVImtphfeFKZRIqlRIC3jHcSkseGWXb5G12XzmHhPqXV6X3CUW9HiaFYZnnktky1F1keR8QPK-o3Qd2czxt6Y6jaSnfUtrbGndtfSAsJXWWcfm8Zfy5VUb0G3YRfFdyhOd_1l1p7cXHd1Co0ECcFOqJBmQ5ysxDGg8pYHumy-xDGBYWEUn_Mm_f_0ZuXM4OR7p0dH47TZZB4kI-0bZDllrF0u3S27X5-1ps3gahssPXsMTCA |
| linkToPdf | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1Lj9MwEB7BghAceCMKCxiJqyEPP-IjYimsWMoiLbA3y4lttFJpS5si-Av8amacpHSFAAmO0XgSxx7bn-2ZbwAeOVcUlVKCE3UvF9ELXskQuM9jlLHSTqR0Pu8P9GRSHR-bw60ofnKrpD107Igi0lxNg3vh4-AR9yTldMStGzlmiceIbxD1n4VziJwV2fjR-MPPyMg-vgg1OKkMwXO_ecupxekUdekvU3Vaf8ZX_r_mV-Fyjz3Z085YrsGZMLsOl7YYCW_A970uQ72bTr-xj4mSGiEpa9bJPZotyDV2xbDC7NPJ1-B5YpsIS_Z57TzZUqfYEOik3BOoupGw3hVsxbD6LF1QMKKG6JiU0TzwqZ2zF9P56_23b1hxE96Nnx89e8n7dA28EZVouSvLWkmdh8JIGbWpXTQx1KpwvjZRmDrTjfYyRuWUkVmdS-0R7QShpcc5OZS3YGc2n4XbwGIom0qEzKOeyAvlRBGFJq4c06isFCMoh36yTc9lTr81tXlPeTq0tKWWtl1Lj4BvtBYdl8dfylfbJmDbdIYSu4Qntvyz6u5gLrafFFYWJQg2tcmyETzciHE40x0Ndt98TWUQweIeOhN3_v3rD-DC4d7YHuxPXt2FiyiQ6dCo2IWddrkO9-B886U9WS3vp8HyAxI3Ebo |
| 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=Dynamically+generated+cutting+planes+for+mixed-integer+quadratically+constrained+quadratic+programs+and+their+incorporation+into+GloMIQO+2&rft.jtitle=Optimization+methods+%26+software&rft.au=Misener%2C+Ruth&rft.au=Smadbeck%2C+James+B&rft.au=Floudas%2C+Christodoulos+A&rft.date=2015-01-02&rft.pub=Taylor+%26+Francis+Ltd&rft.issn=1055-6788&rft.eissn=1029-4937&rft.volume=30&rft.issue=1&rft.spage=215&rft_id=info:doi/10.1080%2F10556788.2014.916287&rft.externalDBID=NO_FULL_TEXT&rft.externalDocID=3501991801 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1055-6788&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1055-6788&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1055-6788&client=summon |