Non-convex chance-constrained optimization for blending recipe design under uncertainties
•Using a nonconvex chance-constrained program to model gasoline blending problem.•Nonlinear mixing rule is used for the calculation of octane rating.•Normal distribution is used to describe the feedstock uncertainties.•The chance-constrained program is solved to a near-global optimal solution.•Two g...
Uloženo v:
| Vydáno v: | Computers & chemical engineering Ročník 139; s. 106868 |
|---|---|
| Hlavní autoři: | , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Elsevier Ltd
04.08.2020
|
| Témata: | |
| ISSN: | 0098-1354, 1873-4375 |
| On-line přístup: | Získat plný text |
| Tagy: |
Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
|
| Abstract | •Using a nonconvex chance-constrained program to model gasoline blending problem.•Nonlinear mixing rule is used for the calculation of octane rating.•Normal distribution is used to describe the feedstock uncertainties.•The chance-constrained program is solved to a near-global optimal solution.•Two grades of gasoline with nine feedstocks are produced in the case study.
A global optimization algorithm is proposed to design blending recipes for gasoline production with nonlinear mixing law and parameter uncertainty. Important fuels, such as gasoline, are produced by mixing several intermediate feedstocks in such a way that all quality specifications are met, and total profit is maximized. Conventional blending design approaches that rely on linear models and deterministic optimization may generate a suboptimal or infeasible solution due to model inaccuracy and failure to account for parameter uncertainty. The proposed work designs the blending recipe subject to chance constraints with normally distributed uncertain parameters and nonlinear mixing rule. The resulting non-convex joint chance-constrained program is solved to a near-global optimum through second-order cone relaxation, branch-and-bound, optimality-based bound tightening, and reformulate-linearization techniques. A case study involving nine feedstocks and two grades of gasoline is presented to demonstrate the effectiveness of the proposed method. |
|---|---|
| AbstractList | •Using a nonconvex chance-constrained program to model gasoline blending problem.•Nonlinear mixing rule is used for the calculation of octane rating.•Normal distribution is used to describe the feedstock uncertainties.•The chance-constrained program is solved to a near-global optimal solution.•Two grades of gasoline with nine feedstocks are produced in the case study.
A global optimization algorithm is proposed to design blending recipes for gasoline production with nonlinear mixing law and parameter uncertainty. Important fuels, such as gasoline, are produced by mixing several intermediate feedstocks in such a way that all quality specifications are met, and total profit is maximized. Conventional blending design approaches that rely on linear models and deterministic optimization may generate a suboptimal or infeasible solution due to model inaccuracy and failure to account for parameter uncertainty. The proposed work designs the blending recipe subject to chance constraints with normally distributed uncertain parameters and nonlinear mixing rule. The resulting non-convex joint chance-constrained program is solved to a near-global optimum through second-order cone relaxation, branch-and-bound, optimality-based bound tightening, and reformulate-linearization techniques. A case study involving nine feedstocks and two grades of gasoline is presented to demonstrate the effectiveness of the proposed method. |
| ArticleNumber | 106868 |
| Author | Chow, Tsz Yuet Matthew Rosa, Loren dela Yang, Yu |
| Author_xml | – sequence: 1 givenname: Yu surname: Yang fullname: Yang, Yu email: yu.yang@csulb.edu organization: Department of Chemical Engineering, California State University Long Beach, Long Beach, CA 90840 USA – sequence: 2 givenname: Loren dela surname: Rosa fullname: Rosa, Loren dela organization: Department of Chemical Engineering, California State University Long Beach, Long Beach, CA 90840 USA – sequence: 3 givenname: Tsz Yuet Matthew surname: Chow fullname: Chow, Tsz Yuet Matthew organization: Department of Chemical Engineering, University of Michigan, Ann Arbor, MI 48109, USA |
| BookMark | eNqNkEtLAzEUhYNUsFb_w_gDpuYxj8xKpPiCohtduAoxuWlTOsmQxKL-ejPWhbjq5l7uhXM45ztFE-cdIHRB8Jxg0lxu5sr3g1pDD241p5iO_4Y3_AhNCW9ZWbG2nqApxh0vCaurE3Qa4wZjTCvOp-j10btSebeDj0KtpVMwXjEFaR3owg_J9vZLJutdYXwo3rbgtHWrIoCyAxQaol254t1pCHkqCCkrk4V4ho6N3EY4_90z9HJ787y4L5dPdw-L62WpGCWplB1rKJWG8a5mtTQGCDDC8gk5sqEtcIqlbhWlWjKpO9a1TDLTUilbxio2Q1d7XxV8jAGMUDb9BB5LbAXBYiQlNuIPKTGSEntS2aH75zAE28vweZB2sddCrrizEERUFjIHbTOhJLS3B7h8A3x2j08 |
| CitedBy_id | crossref_primary_10_3390_app15126526 crossref_primary_10_1016_j_compchemeng_2025_109004 crossref_primary_10_1016_j_compchemeng_2023_108170 crossref_primary_10_1109_ACCESS_2022_3232812 crossref_primary_10_1016_j_ces_2025_121426 crossref_primary_10_1016_j_compchemeng_2023_108361 crossref_primary_10_1016_j_cjche_2024_03_023 |
| Cites_doi | 10.1023/A:1011295715398 10.1109/TAC.2006.875041 10.1007/s10107-005-0685-1 10.1016/j.compchemeng.2003.09.020 10.1007/s10957-011-9888-1 10.1016/j.compchemeng.2013.05.029 10.1002/aic.15168 10.1007/BF00138693 10.1016/j.compchemeng.2009.01.022 10.1016/j.compchemeng.2018.01.017 10.1016/j.compchemeng.2007.05.009 10.3182/20131218-3-IN-2045.00072 10.1007/s10898-012-9874-7 10.1007/BF01580665 10.1109/TAC.2018.2808446 10.1137/16M109003X 10.1016/j.compchemeng.2017.09.007 10.1021/ie100025e 10.1021/ie201651s 10.1137/050622328 10.1016/j.compchemeng.2015.04.012 10.1016/j.compchemeng.2005.11.004 10.1016/J.ENG.2017.02.005 10.1021/ie501898n 10.1007/s10107-004-0559-y 10.1021/acs.iecr.8b00646 10.1016/j.compchemeng.2006.05.035 10.1007/978-3-642-32147-4_8 10.1137/070702928 10.1287/opre.2015.1357 10.1021/acs.iecr.9b01772 10.1007/s10898-011-9792-0 10.1016/0098-1354(94)00123-5 10.1021/acs.iecr.7b02434 10.1287/inte.19.1.85 10.1002/aic.12419 10.1007/s10957-006-9082-z 10.1007/s10898-016-0434-4 10.1016/j.compchemeng.2010.02.014 10.1002/aic.15950 10.1002/aic.14423 10.1021/ie201262f 10.1021/acs.iecr.6b01566 |
| ContentType | Journal Article |
| Copyright | 2020 |
| Copyright_xml | – notice: 2020 |
| DBID | AAYXX CITATION |
| DOI | 10.1016/j.compchemeng.2020.106868 |
| DatabaseName | CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering |
| EISSN | 1873-4375 |
| ExternalDocumentID | 10_1016_j_compchemeng_2020_106868 S0098135420300284 |
| GroupedDBID | --K --M .DC .~1 0R~ 1B1 1~. 1~5 4.4 457 4G. 5GY 5VS 7-5 71M 8P~ 9JN AABNK AACTN AAEDT AAEDW AAIAV AAIKC AAIKJ AAKOC AALRI AAMNW AAOAW AAQFI AAXUO ABJNI ABMAC ABNUV ABYKQ ACDAQ ACGFS ACRLP ADBBV ADEWK ADEZE ADTZH AEBSH AECPX AEKER AENEX AFKWA AFTJW AGHFR AGUBO AGYEJ AHHHB AHJVU AHPOS AIEXJ AIKHN AITUG AJOXV AKURH ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ AXJTR BJAXD BKOJK BLXMC CS3 DU5 EBS EFJIC EFLBG ENUVR EO8 EO9 EP2 EP3 F5P FDB FIRID FNPLU FYGXN G-Q GBLVA IHE J1W JJJVA KOM LG9 LX7 M41 MO0 N9A O-L O9- OAUVE OZT P-8 P-9 P2P PC. Q38 ROL RPZ SBC SDF SDG SDP SES SPC SPCBC SSG SST SSZ T5K ~G- 29F 9DU AAQXK AATTM AAXKI AAYWO AAYXX ABFNM ABWVN ABXDB ACLOT ACNNM ACRPL ACVFH ADCNI ADMUD ADNMO AEIPS AEUPX AFFNX AFJKZ AFPUW AGQPQ AI. AIGII AIIUN AKBMS AKRWK AKYEP ANKPU APXCP ASPBG AVWKF AZFZN BBWZM CITATION EFKBS EJD FEDTE FGOYB HLY HLZ HVGLF HZ~ NDZJH R2- SCE SEW VH1 WUQ ZY4 ~HD |
| ID | FETCH-LOGICAL-c321t-a93622af389535affe1e313389e098f27e820ad7c22da3ad93973a3f72aa73343 |
| ISICitedReferencesCount | 9 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000555544800005&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0098-1354 |
| IngestDate | Tue Nov 18 21:58:30 EST 2025 Sat Nov 29 07:23:54 EST 2025 Fri Feb 23 02:47:14 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Keywords | Gasoline blending Second-order cone program Chance-constrained program Global optimization |
| Language | English |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c321t-a93622af389535affe1e313389e098f27e820ad7c22da3ad93973a3f72aa73343 |
| ParticipantIDs | crossref_citationtrail_10_1016_j_compchemeng_2020_106868 crossref_primary_10_1016_j_compchemeng_2020_106868 elsevier_sciencedirect_doi_10_1016_j_compchemeng_2020_106868 |
| PublicationCentury | 2000 |
| PublicationDate | 2020-08-04 |
| PublicationDateYYYYMMDD | 2020-08-04 |
| PublicationDate_xml | – month: 08 year: 2020 text: 2020-08-04 day: 04 |
| PublicationDecade | 2020 |
| PublicationTitle | Computers & chemical engineering |
| PublicationYear | 2020 |
| Publisher | Elsevier Ltd |
| Publisher_xml | – name: Elsevier Ltd |
| References | Li, Tomasgard, Barton (bib0023) 2011; 151 Curtis, Wächter, Zavala (bib0011) 2018; 28 Diehl, Bock, Kostina (bib0014) 2006; 107 Li, Floudas (bib0025) 2014; 53 Matthews, Guzman, Floudas (bib0029) 2018; 116 Quesada, Grossmann (bib0041) 1995; 19 Cerda, Pautasso, Cafaro (bib0009) 2016; 55 Li, Chen, Barton (bib0022) 2012; 51 Arellano-Garcia, Wozny (bib0001) 2009; 33 Calafiore, Campi (bib0004) 2006; 51 Wang, Li, Chang, Li (bib0047) 2007 Wiebe, Cecílio, Misener (bib0048) 2019; 58 Misener, Floudas (bib0033) 2010; 49 Jiang (bib0017) 2016 Bertsimas, Thiele (bib0003) 2006 Misener, Gounaris, Floudas (bib0035) 2010; 34 Prékoba (bib0039) 1995 Ostrovsky, Ziyatdinov, Lapteva (bib0037) 2013; 59 Janak, Lin, Floudas (bib0016) 2007; 31 Li, Tomasgard, Barton (bib0024) 2012; 54 Parkash (bib0038) 2003 Sahinidis (bib0043) 1996; 8 Lin, Janak, Floudas (bib0027) 2004; 28 Wächter, Biegler (bib0046) 2006; 106 Luedtke, Ahmed (bib0028) 2008; 19 Cheng, Gicquel, Lisser (bib0010) 2012; 7422 Shapiro (bib0044) 2013 Misener, Floudas (bib0034) 2013; 57 Li, Tang, Floudas (bib0026) 2012; 51 Li, Armagan, Tomasgard, Barton (bib0021) 2011; 57 Li, Xiao, Floudas (bib0019) 2016; 62 Yang, Vayanos, Barton (bib0049) 2017; 56 Mc Cormick (bib0030) 1976; 10 Gupte, Ahmed, Dey, Cheon (bib0015) 2017; 67 Castillo, Castro, Mahalec (bib0007) 2017; 3 Mendéz, Grossmann, Harjunkoski, Kaboré (bib0031) 2006; 30 Li, Arellano-Garcia, Wozny (bib0020) 2008; 32 Misener, Floudas (bib0032) 2009; 8 Zhang (bib0051) 2007; 132 Ben-Tal, Ghaoui, Nemirovski (bib0002) 2009 De Witt, Lasdon, Waren, Brenner, Melhem (bib0012) 1989; 19 Li, Grossmann (bib0018) 2018; 112 Dey, Gupte (bib0013) 2015; 63 Purohit, Suryawanshi (bib0040) 2013; 46 Castillo, Mahalec (bib0008) 2014; 60 Campi, Garatti, Ramponi (bib0006) 2018; 63 Tovar-Facio, Cao, Ponce-Ortega, Zavala (bib0045) 2018; 57 Nemirovski, Shapiro (bib0036) 2006; 17 Calfa, Grossmann, Agarwal, Bury, Wassick (bib0005) 2015; 78 Ryoo, Sahinidis (bib0042) 2001; 19 Yuan, Li, Huang (bib0050) 2018; 64 Bertsimas (10.1016/j.compchemeng.2020.106868_bib0003) 2006 Purohit (10.1016/j.compchemeng.2020.106868_bib0040) 2013; 46 Quesada (10.1016/j.compchemeng.2020.106868_bib0041) 1995; 19 Janak (10.1016/j.compchemeng.2020.106868_bib0016) 2007; 31 Castillo (10.1016/j.compchemeng.2020.106868_bib0008) 2014; 60 Ben-Tal (10.1016/j.compchemeng.2020.106868_bib0002) 2009 Mendéz (10.1016/j.compchemeng.2020.106868_bib0031) 2006; 30 Luedtke (10.1016/j.compchemeng.2020.106868_bib0028) 2008; 19 Ryoo (10.1016/j.compchemeng.2020.106868_bib0042) 2001; 19 Misener (10.1016/j.compchemeng.2020.106868_bib0034) 2013; 57 Curtis (10.1016/j.compchemeng.2020.106868_bib0011) 2018; 28 Tovar-Facio (10.1016/j.compchemeng.2020.106868_bib0045) 2018; 57 Lin (10.1016/j.compchemeng.2020.106868_bib0027) 2004; 28 Li (10.1016/j.compchemeng.2020.106868_bib0018) 2018; 112 Mc Cormick (10.1016/j.compchemeng.2020.106868_bib0030) 1976; 10 Misener (10.1016/j.compchemeng.2020.106868_bib0032) 2009; 8 Li (10.1016/j.compchemeng.2020.106868_bib0026) 2012; 51 Parkash (10.1016/j.compchemeng.2020.106868_bib0038) 2003 Arellano-Garcia (10.1016/j.compchemeng.2020.106868_bib0001) 2009; 33 Misener (10.1016/j.compchemeng.2020.106868_bib0033) 2010; 49 Castillo (10.1016/j.compchemeng.2020.106868_bib0007) 2017; 3 Li (10.1016/j.compchemeng.2020.106868_bib0025) 2014; 53 Li (10.1016/j.compchemeng.2020.106868_bib0022) 2012; 51 Wiebe (10.1016/j.compchemeng.2020.106868_bib0048) 2019; 58 Gupte (10.1016/j.compchemeng.2020.106868_bib0015) 2017; 67 Nemirovski (10.1016/j.compchemeng.2020.106868_bib0036) 2006; 17 Wächter (10.1016/j.compchemeng.2020.106868_bib0046) 2006; 106 Calfa (10.1016/j.compchemeng.2020.106868_bib0005) 2015; 78 Misener (10.1016/j.compchemeng.2020.106868_bib0035) 2010; 34 Li (10.1016/j.compchemeng.2020.106868_bib0019) 2016; 62 Li (10.1016/j.compchemeng.2020.106868_bib0020) 2008; 32 Diehl (10.1016/j.compchemeng.2020.106868_bib0014) 2006; 107 Jiang (10.1016/j.compchemeng.2020.106868_bib0017) 2016 De Witt (10.1016/j.compchemeng.2020.106868_bib0012) 1989; 19 Calafiore (10.1016/j.compchemeng.2020.106868_bib0004) 2006; 51 Li (10.1016/j.compchemeng.2020.106868_bib0023) 2011; 151 Ostrovsky (10.1016/j.compchemeng.2020.106868_bib0037) 2013; 59 Campi (10.1016/j.compchemeng.2020.106868_bib0006) 2018; 63 Matthews (10.1016/j.compchemeng.2020.106868_bib0029) 2018; 116 Wang (10.1016/j.compchemeng.2020.106868_bib0047) 2007 Zhang (10.1016/j.compchemeng.2020.106868_bib0051) 2007; 132 Sahinidis (10.1016/j.compchemeng.2020.106868_bib0043) 1996; 8 Cheng (10.1016/j.compchemeng.2020.106868_bib0010) 2012; 7422 Yang (10.1016/j.compchemeng.2020.106868_bib0049) 2017; 56 Yuan (10.1016/j.compchemeng.2020.106868_bib0050) 2018; 64 Prékoba (10.1016/j.compchemeng.2020.106868_bib0039) 1995 Li (10.1016/j.compchemeng.2020.106868_bib0024) 2012; 54 Li (10.1016/j.compchemeng.2020.106868_bib0021) 2011; 57 Dey (10.1016/j.compchemeng.2020.106868_bib0013) 2015; 63 Shapiro (10.1016/j.compchemeng.2020.106868_bib0044) 2013 Cerda (10.1016/j.compchemeng.2020.106868_bib0009) 2016; 55 |
| References_xml | – volume: 28 start-page: 1069 year: 2004 end-page: 1085 ident: bib0027 article-title: A new robust optimization approach for scheduling under uncertainty: i. Bounded uncertainty publication-title: Comput. Chem. Eng. – volume: 19 start-page: 85 year: 1989 end-page: 101 ident: bib0012 article-title: An improved gasoline blending system for texaco publication-title: Interfaces – volume: 64 start-page: 481 year: 2018 end-page: 494 ident: bib0050 article-title: Nonlinear robust optimization for process design publication-title: AlChE J. – volume: 31 start-page: 171 year: 2007 end-page: 195 ident: bib0016 article-title: A new robust optimization approach for scheduling under uncertainty II. Uncertainty with known probability distribution publication-title: Comput. Chem. Eng. – volume: 3 start-page: 188 year: 2017 end-page: 201 ident: bib0007 article-title: Global optimization of nonlinear blend-scheduling problems publication-title: Engineering – volume: 33 start-page: 1568 year: 2009 end-page: 1583 ident: bib0001 article-title: Chance constrained optimization of process systems under uncertainty: i. Strict monotonicity publication-title: Comput. Chem. Eng. – year: 2007 ident: bib0047 article-title: On-line optimization model design of gasoline blending system under parametric uncertainty publication-title: 2007 Mediterranean Conference on Control & Automation, Athens, Greece – year: 1995 ident: bib0039 article-title: Stochastic Programming – start-page: 308 year: 2003 end-page: 309 ident: bib0038 article-title: Refining Processes Handbook – volume: 7422 start-page: 71 year: 2012 end-page: 80 ident: bib0010 article-title: A second-order cone programming approximation to joint chance-constrained linear programs publication-title: Lect. Notes Comput. Sci. – volume: 51 start-page: 742 year: 2006 end-page: 753 ident: bib0004 article-title: The scenario approach to robust control design publication-title: IEEE Trans. Autom. Control – volume: 106 start-page: 25 year: 2006 end-page: 57 ident: bib0046 article-title: On the implementation of a primal-dual interior point filter line search algorithm for large-scale nonlinear programming publication-title: Math. Program. – volume: 51 start-page: 6769 year: 2012 end-page: 6788 ident: bib0026 article-title: A comparative theoretical and computational study on robust counterpart optimization: II. Probabilistic guarantees on constraint satisfaction publication-title: Ind. Eng. Chem. Res. – volume: 63 start-page: 412 year: 2015 end-page: 427 ident: bib0013 article-title: Analysis of MILP techniques for the pooling problem publication-title: Oper. Res – volume: 8 start-page: 201 year: 1996 end-page: 205 ident: bib0043 article-title: BARON: A general purpose global optimization software package publication-title: J. Global Optim. – volume: 67 start-page: 631 year: 2017 end-page: 669 ident: bib0015 article-title: Relaxations and discretizations for the pooling problem publication-title: J. Global Optim. – volume: 112 start-page: 165 year: 2018 end-page: 179 ident: bib0018 article-title: An improved l-shaped method for two-stage convex 0–1 mixed integer nonlinear stochastic programs publication-title: Comput. Chem. Eng. – volume: 49 start-page: 5424 year: 2010 end-page: 5438 ident: bib0033 article-title: Global optimization of large-scale generalized pooling problems: quadratically constrained MINLP models publication-title: Ind. Eng. Chem. Res. – volume: 62 start-page: 2043 year: 2016 end-page: 2070 ident: bib0019 article-title: Integrated gasoline blending and order delivery operations: part i. Short-term scheduling and global optimization for single and multi-period operations publication-title: AlChE J. – volume: 32 start-page: 25 year: 2008 end-page: 45 ident: bib0020 article-title: Chance constrained programming approach to process optimization under uncertainty publication-title: Comput. Chem. Eng. – volume: 51 start-page: 7287 year: 2012 end-page: 7299 ident: bib0022 article-title: Nonconvex generalized benders decomposition with piecewise convex relaxation for global optimization of integrated process design and operation problems publication-title: Ind. Eng. Chem. Res. – start-page: 1350 year: 2013 end-page: 1355 ident: bib0044 article-title: Sample average approximation publication-title: Encyclopedia of Operations Research and Management Science – volume: 151 start-page: 425 year: 2011 end-page: 454 ident: bib0023 article-title: Nonconvex generalized benders decomposition for stochastic separable mixed-integer nonlinear programs publication-title: J. Optim. Theory Appl. – volume: 63 start-page: 4067 year: 2018 end-page: 4078 ident: bib0006 article-title: A general scenario theory for non-convex optimization and decision making publication-title: IEEE Trans. Autom. Control – year: 2009 ident: bib0002 article-title: Robust Optimization – year: 2016 ident: bib0017 article-title: Optimisation of diesel and gasoline blending operations publication-title: Dept. Chem. Eng and Analytical Science, the University of Manchester – volume: 59 start-page: 74 year: 2013 end-page: 88 ident: bib0037 article-title: Optimal design of chemical processes with chance constraints publication-title: Comput. Chem. Eng. – volume: 54 start-page: 765 year: 2012 end-page: 790 ident: bib0024 article-title: Decomposition strategy for the stochastic pooling problem publication-title: J. Global Optim. – volume: 10 start-page: 147 year: 1976 end-page: 175 ident: bib0030 article-title: Computation of global solutions to factorable nonconvex programs: part i convex underestimating problems publication-title: Math. Program. – volume: 57 start-page: 7987 year: 2018 end-page: 7998 ident: bib0045 article-title: Scalable solution strategies for chance-constrained nonlinear programs publication-title: Ind. Eng. Chem. Res. – volume: 57 start-page: 2120 year: 2011 end-page: 2135 ident: bib0021 article-title: Stochastic pooling problem for natural gas production network design and operation under uncertainty publication-title: AlChE J. – volume: 116 start-page: 451 year: 2018 end-page: 467 ident: bib0029 article-title: Generalized robust counterparts for constraints with bounded and unbounded uncertain parameters publication-title: Comput. Chem. Eng. – volume: 19 start-page: 1219 year: 1995 end-page: 1242 ident: bib0041 article-title: Global optimization of bilinear process networks with multicomponent flows publication-title: Comput. Chem. Eng. – year: 2006 ident: bib0003 article-title: Robust and data-driven optimization: modern decision making under uncertainty publication-title: INFORMS Tutor. Oper. Res. – volume: 8 start-page: 3 year: 2009 end-page: 22 ident: bib0032 article-title: Advances for the pooling problem: modeling, global optimization, and computational studies publication-title: Appl. Comput. Math. – volume: 34 start-page: 1432 year: 2010 end-page: 1456 ident: bib0035 article-title: Mathematical modeling and global optimization of large-scale extended pooling problems with the (EPA) complex emissions constraints publication-title: Comput. Chem. Eng. – volume: 58 start-page: 12712 year: 2019 end-page: 12722 ident: bib0048 article-title: Robust optimization for the pooling problem publication-title: Ind. Eng. Chem. Res. – volume: 19 start-page: 403 year: 2001 end-page: 424 ident: bib0042 article-title: Analysis of bounds for multilinear functions publication-title: J. Global Optim. – volume: 53 start-page: 13112 year: 2014 end-page: 13124 ident: bib0025 article-title: A comparative theoretical and computational study on robust counterpart optimization: III. Improving the quality of robust solutions publication-title: Ind. Eng. Chem. Res. – volume: 28 start-page: 930 year: 2018 end-page: 958 ident: bib0011 article-title: A sequential algorithm for solving nonlinear optimization problems with chance constraints publication-title: SIAM J. Optim. – volume: 78 start-page: 51 year: 2015 end-page: 69 ident: bib0005 article-title: Data-driven individual and joint chance-constrained optimization via kernel smoothing publication-title: Comput. Chem. Eng. – volume: 56 start-page: 12139 year: 2017 end-page: 12150 ident: bib0049 article-title: Chance-constrained optimization for refinery blend planning under uncertainty publication-title: Ind. Eng. Chem. Res. – volume: 60 start-page: 2158 year: 2014 end-page: 2178 ident: bib0008 article-title: Inventory pinch based, multiscale models for integrated planning and scheduling-part i: gasoline blend planning publication-title: AICH J. – volume: 57 start-page: 3 year: 2013 end-page: 50 ident: bib0034 article-title: GloMIQO: global mixed-integer quadratic optimizer publication-title: J. Global Optim. – volume: 55 start-page: 7782 year: 2016 end-page: 7800 ident: bib0009 article-title: Optimizing gasoline recipes and blending operations using nonlinear blend models publication-title: Ind. Eng. Chem. Res. – volume: 132 start-page: 111 year: 2007 end-page: 124 ident: bib0051 article-title: General robust-optimization formulation for nonlinear programming publication-title: J. Optim. Theory Appl. – volume: 46 start-page: 343 year: 2013 end-page: 348 ident: bib0040 article-title: Integrated product blending optimization for oil refinery operations publication-title: IFAC Proc. Vol. – volume: 17 start-page: 969 year: 2006 end-page: 996 ident: bib0036 article-title: Convex approximation of chance constrained programs publication-title: SIAM J. Optim. – volume: 19 start-page: 674 year: 2008 end-page: 699 ident: bib0028 article-title: A sample approximation approach for optimization with probabilistic constraints publication-title: SIAM J. Optim. – volume: 107 start-page: 213 year: 2006 end-page: 230 ident: bib0014 article-title: An approximation technique for robust nonlinear optimization publication-title: Math. Program. – volume: 30 start-page: 614 year: 2006 end-page: 634 ident: bib0031 article-title: A simultaneous optimization approach for off-line blending and scheduling of oil-refinery operations publication-title: Comput. Chem. Eng. – volume: 8 start-page: 3 year: 2009 ident: 10.1016/j.compchemeng.2020.106868_bib0032 article-title: Advances for the pooling problem: modeling, global optimization, and computational studies publication-title: Appl. Comput. Math. – volume: 19 start-page: 403 year: 2001 ident: 10.1016/j.compchemeng.2020.106868_bib0042 article-title: Analysis of bounds for multilinear functions publication-title: J. Global Optim. doi: 10.1023/A:1011295715398 – volume: 51 start-page: 742 year: 2006 ident: 10.1016/j.compchemeng.2020.106868_bib0004 article-title: The scenario approach to robust control design publication-title: IEEE Trans. Autom. Control doi: 10.1109/TAC.2006.875041 – volume: 107 start-page: 213 year: 2006 ident: 10.1016/j.compchemeng.2020.106868_bib0014 article-title: An approximation technique for robust nonlinear optimization publication-title: Math. Program. doi: 10.1007/s10107-005-0685-1 – year: 2007 ident: 10.1016/j.compchemeng.2020.106868_bib0047 article-title: On-line optimization model design of gasoline blending system under parametric uncertainty – volume: 28 start-page: 1069 year: 2004 ident: 10.1016/j.compchemeng.2020.106868_bib0027 article-title: A new robust optimization approach for scheduling under uncertainty: i. Bounded uncertainty publication-title: Comput. Chem. Eng. doi: 10.1016/j.compchemeng.2003.09.020 – volume: 151 start-page: 425 year: 2011 ident: 10.1016/j.compchemeng.2020.106868_bib0023 article-title: Nonconvex generalized benders decomposition for stochastic separable mixed-integer nonlinear programs publication-title: J. Optim. Theory Appl. doi: 10.1007/s10957-011-9888-1 – volume: 59 start-page: 74 year: 2013 ident: 10.1016/j.compchemeng.2020.106868_bib0037 article-title: Optimal design of chemical processes with chance constraints publication-title: Comput. Chem. Eng. doi: 10.1016/j.compchemeng.2013.05.029 – volume: 62 start-page: 2043 year: 2016 ident: 10.1016/j.compchemeng.2020.106868_bib0019 article-title: Integrated gasoline blending and order delivery operations: part i. Short-term scheduling and global optimization for single and multi-period operations publication-title: AlChE J. doi: 10.1002/aic.15168 – volume: 8 start-page: 201 year: 1996 ident: 10.1016/j.compchemeng.2020.106868_bib0043 article-title: BARON: A general purpose global optimization software package publication-title: J. Global Optim. doi: 10.1007/BF00138693 – volume: 33 start-page: 1568 year: 2009 ident: 10.1016/j.compchemeng.2020.106868_bib0001 article-title: Chance constrained optimization of process systems under uncertainty: i. Strict monotonicity publication-title: Comput. Chem. Eng. doi: 10.1016/j.compchemeng.2009.01.022 – volume: 112 start-page: 165 year: 2018 ident: 10.1016/j.compchemeng.2020.106868_bib0018 article-title: An improved l-shaped method for two-stage convex 0–1 mixed integer nonlinear stochastic programs publication-title: Comput. Chem. Eng. doi: 10.1016/j.compchemeng.2018.01.017 – volume: 32 start-page: 25 year: 2008 ident: 10.1016/j.compchemeng.2020.106868_bib0020 article-title: Chance constrained programming approach to process optimization under uncertainty publication-title: Comput. Chem. Eng. doi: 10.1016/j.compchemeng.2007.05.009 – volume: 46 start-page: 343 year: 2013 ident: 10.1016/j.compchemeng.2020.106868_bib0040 article-title: Integrated product blending optimization for oil refinery operations publication-title: IFAC Proc. Vol. doi: 10.3182/20131218-3-IN-2045.00072 – volume: 57 start-page: 3 year: 2013 ident: 10.1016/j.compchemeng.2020.106868_bib0034 article-title: GloMIQO: global mixed-integer quadratic optimizer publication-title: J. Global Optim. doi: 10.1007/s10898-012-9874-7 – volume: 10 start-page: 147 year: 1976 ident: 10.1016/j.compchemeng.2020.106868_bib0030 article-title: Computation of global solutions to factorable nonconvex programs: part i convex underestimating problems publication-title: Math. Program. doi: 10.1007/BF01580665 – volume: 63 start-page: 4067 year: 2018 ident: 10.1016/j.compchemeng.2020.106868_bib0006 article-title: A general scenario theory for non-convex optimization and decision making publication-title: IEEE Trans. Autom. Control doi: 10.1109/TAC.2018.2808446 – volume: 28 start-page: 930 year: 2018 ident: 10.1016/j.compchemeng.2020.106868_bib0011 article-title: A sequential algorithm for solving nonlinear optimization problems with chance constraints publication-title: SIAM J. Optim. doi: 10.1137/16M109003X – volume: 116 start-page: 451 year: 2018 ident: 10.1016/j.compchemeng.2020.106868_bib0029 article-title: Generalized robust counterparts for constraints with bounded and unbounded uncertain parameters publication-title: Comput. Chem. Eng. doi: 10.1016/j.compchemeng.2017.09.007 – volume: 49 start-page: 5424 year: 2010 ident: 10.1016/j.compchemeng.2020.106868_bib0033 article-title: Global optimization of large-scale generalized pooling problems: quadratically constrained MINLP models publication-title: Ind. Eng. Chem. Res. doi: 10.1021/ie100025e – volume: 51 start-page: 6769 year: 2012 ident: 10.1016/j.compchemeng.2020.106868_bib0026 article-title: A comparative theoretical and computational study on robust counterpart optimization: II. Probabilistic guarantees on constraint satisfaction publication-title: Ind. Eng. Chem. Res. doi: 10.1021/ie201651s – volume: 17 start-page: 969 year: 2006 ident: 10.1016/j.compchemeng.2020.106868_bib0036 article-title: Convex approximation of chance constrained programs publication-title: SIAM J. Optim. doi: 10.1137/050622328 – volume: 78 start-page: 51 year: 2015 ident: 10.1016/j.compchemeng.2020.106868_bib0005 article-title: Data-driven individual and joint chance-constrained optimization via kernel smoothing publication-title: Comput. Chem. Eng. doi: 10.1016/j.compchemeng.2015.04.012 – volume: 30 start-page: 614 year: 2006 ident: 10.1016/j.compchemeng.2020.106868_bib0031 article-title: A simultaneous optimization approach for off-line blending and scheduling of oil-refinery operations publication-title: Comput. Chem. Eng. doi: 10.1016/j.compchemeng.2005.11.004 – volume: 3 start-page: 188 year: 2017 ident: 10.1016/j.compchemeng.2020.106868_bib0007 article-title: Global optimization of nonlinear blend-scheduling problems publication-title: Engineering doi: 10.1016/J.ENG.2017.02.005 – volume: 53 start-page: 13112 year: 2014 ident: 10.1016/j.compchemeng.2020.106868_bib0025 article-title: A comparative theoretical and computational study on robust counterpart optimization: III. Improving the quality of robust solutions publication-title: Ind. Eng. Chem. Res. doi: 10.1021/ie501898n – volume: 106 start-page: 25 year: 2006 ident: 10.1016/j.compchemeng.2020.106868_bib0046 article-title: On the implementation of a primal-dual interior point filter line search algorithm for large-scale nonlinear programming publication-title: Math. Program. doi: 10.1007/s10107-004-0559-y – volume: 57 start-page: 7987 year: 2018 ident: 10.1016/j.compchemeng.2020.106868_bib0045 article-title: Scalable solution strategies for chance-constrained nonlinear programs publication-title: Ind. Eng. Chem. Res. doi: 10.1021/acs.iecr.8b00646 – start-page: 308 year: 2003 ident: 10.1016/j.compchemeng.2020.106868_bib0038 – year: 2016 ident: 10.1016/j.compchemeng.2020.106868_bib0017 article-title: Optimisation of diesel and gasoline blending operations – volume: 31 start-page: 171 year: 2007 ident: 10.1016/j.compchemeng.2020.106868_bib0016 article-title: A new robust optimization approach for scheduling under uncertainty II. Uncertainty with known probability distribution publication-title: Comput. Chem. Eng. doi: 10.1016/j.compchemeng.2006.05.035 – volume: 7422 start-page: 71 year: 2012 ident: 10.1016/j.compchemeng.2020.106868_bib0010 article-title: A second-order cone programming approximation to joint chance-constrained linear programs publication-title: Lect. Notes Comput. Sci. doi: 10.1007/978-3-642-32147-4_8 – volume: 19 start-page: 674 year: 2008 ident: 10.1016/j.compchemeng.2020.106868_bib0028 article-title: A sample approximation approach for optimization with probabilistic constraints publication-title: SIAM J. Optim. doi: 10.1137/070702928 – volume: 63 start-page: 412 year: 2015 ident: 10.1016/j.compchemeng.2020.106868_bib0013 article-title: Analysis of MILP techniques for the pooling problem publication-title: Oper. Res doi: 10.1287/opre.2015.1357 – start-page: 1350 year: 2013 ident: 10.1016/j.compchemeng.2020.106868_bib0044 article-title: Sample average approximation – volume: 58 start-page: 12712 year: 2019 ident: 10.1016/j.compchemeng.2020.106868_bib0048 article-title: Robust optimization for the pooling problem publication-title: Ind. Eng. Chem. Res. doi: 10.1021/acs.iecr.9b01772 – volume: 54 start-page: 765 year: 2012 ident: 10.1016/j.compchemeng.2020.106868_bib0024 article-title: Decomposition strategy for the stochastic pooling problem publication-title: J. Global Optim. doi: 10.1007/s10898-011-9792-0 – volume: 19 start-page: 1219 year: 1995 ident: 10.1016/j.compchemeng.2020.106868_bib0041 article-title: Global optimization of bilinear process networks with multicomponent flows publication-title: Comput. Chem. Eng. doi: 10.1016/0098-1354(94)00123-5 – year: 2009 ident: 10.1016/j.compchemeng.2020.106868_bib0002 – volume: 56 start-page: 12139 year: 2017 ident: 10.1016/j.compchemeng.2020.106868_bib0049 article-title: Chance-constrained optimization for refinery blend planning under uncertainty publication-title: Ind. Eng. Chem. Res. doi: 10.1021/acs.iecr.7b02434 – volume: 19 start-page: 85 year: 1989 ident: 10.1016/j.compchemeng.2020.106868_bib0012 article-title: An improved gasoline blending system for texaco publication-title: Interfaces doi: 10.1287/inte.19.1.85 – year: 1995 ident: 10.1016/j.compchemeng.2020.106868_bib0039 – year: 2006 ident: 10.1016/j.compchemeng.2020.106868_bib0003 article-title: Robust and data-driven optimization: modern decision making under uncertainty publication-title: INFORMS Tutor. Oper. Res. – volume: 57 start-page: 2120 year: 2011 ident: 10.1016/j.compchemeng.2020.106868_bib0021 article-title: Stochastic pooling problem for natural gas production network design and operation under uncertainty publication-title: AlChE J. doi: 10.1002/aic.12419 – volume: 132 start-page: 111 year: 2007 ident: 10.1016/j.compchemeng.2020.106868_bib0051 article-title: General robust-optimization formulation for nonlinear programming publication-title: J. Optim. Theory Appl. doi: 10.1007/s10957-006-9082-z – volume: 67 start-page: 631 year: 2017 ident: 10.1016/j.compchemeng.2020.106868_bib0015 article-title: Relaxations and discretizations for the pooling problem publication-title: J. Global Optim. doi: 10.1007/s10898-016-0434-4 – volume: 34 start-page: 1432 year: 2010 ident: 10.1016/j.compchemeng.2020.106868_bib0035 article-title: Mathematical modeling and global optimization of large-scale extended pooling problems with the (EPA) complex emissions constraints publication-title: Comput. Chem. Eng. doi: 10.1016/j.compchemeng.2010.02.014 – volume: 64 start-page: 481 year: 2018 ident: 10.1016/j.compchemeng.2020.106868_bib0050 article-title: Nonlinear robust optimization for process design publication-title: AlChE J. doi: 10.1002/aic.15950 – volume: 60 start-page: 2158 year: 2014 ident: 10.1016/j.compchemeng.2020.106868_bib0008 article-title: Inventory pinch based, multiscale models for integrated planning and scheduling-part i: gasoline blend planning publication-title: AICH J. doi: 10.1002/aic.14423 – volume: 51 start-page: 7287 year: 2012 ident: 10.1016/j.compchemeng.2020.106868_bib0022 article-title: Nonconvex generalized benders decomposition with piecewise convex relaxation for global optimization of integrated process design and operation problems publication-title: Ind. Eng. Chem. Res. doi: 10.1021/ie201262f – volume: 55 start-page: 7782 year: 2016 ident: 10.1016/j.compchemeng.2020.106868_bib0009 article-title: Optimizing gasoline recipes and blending operations using nonlinear blend models publication-title: Ind. Eng. Chem. Res. doi: 10.1021/acs.iecr.6b01566 |
| SSID | ssj0002488 |
| Score | 2.357918 |
| Snippet | •Using a nonconvex chance-constrained program to model gasoline blending problem.•Nonlinear mixing rule is used for the calculation of octane rating.•Normal... |
| SourceID | crossref elsevier |
| SourceType | Enrichment Source Index Database Publisher |
| StartPage | 106868 |
| SubjectTerms | Chance-constrained program Gasoline blending Global optimization Second-order cone program |
| Title | Non-convex chance-constrained optimization for blending recipe design under uncertainties |
| URI | https://dx.doi.org/10.1016/j.compchemeng.2020.106868 |
| Volume | 139 |
| WOSCitedRecordID | wos000555544800005&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: 1873-4375 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0002488 issn: 0098-1354 databaseCode: AIEXJ dateStart: 19950611 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV3fa9swEBbrD0r3ULauo123ocHeiksl2ZYNeymlZRsjDJZB-mRUWYKGzgmxW0L_-t1J8o-tK-0YexGJE0VI9-X0Wb77jpD33ABLTi8UWADudGJbykih4hBjVjEbl0odaVdsQo5G2WSSfw1PTGtXTkBWVbZc5vP_amq4BsbG1Nm_MHf3o3ABXoPRoQWzQ_sow49mVeRiyZcuq1cbfFe7UhBALmfgIn6E3EsfqgnbjktsQZmLOWZRYUiHK4-7gFb7kIGmjTVsRQ1CMYjaQUe3qgOmVzfs3Ek4kD6_7p_t1I6xfplhEjmqVPYxBv5J07i-he-b5iBUIx8eTXAfGNcfTXY5M32AkvPBOdy3Ci8dfWi8282kiGLha6h0ftmrHN3x8f64YYommuP8YGqHODp8kma-Rs9vEtrfcEwckoNLA0IVr5A1LpMcvODa8afTyedu7-ZxlrUqq9hhg7zrIwLvGfDPjGbAUsbPyFa4vaDHHhbPyRNTbZOnA9HJF-S8Bwi9CxA6BAgFgNAWINQDhHqAUAcQ-gtAdsj3s9PxyccoFNiItOCsiVQO9IUrC6Q1EYmy1jAj8NAiN7AAlksD_FCVUnNeKqHKHMirUMJKrpQUIhYvyWo1q8wuobBV2DSXR0wJGaeaw94Frl4yplmamCTZI1m7SIUO6vM4sauiDTOcFoP1LXB9C7--e4R3XedeguUxnT60ligCl_QcsQAYPdz91b913yeb_f_hNVltFtfmDVnXN81lvXgbQPcThZaiHg |
| 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=Non-convex+chance-constrained+optimization+for+blending+recipe+design+under+uncertainties&rft.jtitle=Computers+%26+chemical+engineering&rft.au=Yang%2C+Yu&rft.au=Rosa%2C+Loren+dela&rft.au=Chow%2C+Tsz+Yuet+Matthew&rft.date=2020-08-04&rft.pub=Elsevier+Ltd&rft.issn=0098-1354&rft.eissn=1873-4375&rft.volume=139&rft_id=info:doi/10.1016%2Fj.compchemeng.2020.106868&rft.externalDocID=S0098135420300284 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0098-1354&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0098-1354&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0098-1354&client=summon |