Multiobjective Bilevel Optimization: A Survey of the State-of-the-Art

Optimization makes processes, systems, or products more efficient, reliable, and with better outcomes. A popular topic on optimization today is multiobjective bilevel optimization (MOBO). In MOBO, an upper level problem is constrained by the solution of a lower level one. The problem at each level c...

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Published in:	IEEE transactions on systems, man, and cybernetics. Systems Vol. 53; no. 9; pp. 1 - 0
Main Authors:	Mejia-de-Dios, Jesus-Adolfo, Rodriguez-Molina, Alejandro, Mezura-Montes, Efren
Format:	Journal Article
Language:	English
Published:	New York IEEE 01.09.2023 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:	Algorithms Bi-level optimization Constraints evolutionary algorithms Heuristic methods Linear programming Metaheuristics metaheuristics (MHs) multiobjective optimization Multiple objective analysis Optimization Surveys Task analysis Taxonomy
ISSN:	2168-2216, 2168-2232
Online Access:	Get full text
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Abstract	Optimization makes processes, systems, or products more efficient, reliable, and with better outcomes. A popular topic on optimization today is multiobjective bilevel optimization (MOBO). In MOBO, an upper level problem is constrained by the solution of a lower level one. The problem at each level can include multiple conflicting objective functions and its own constraints. This survey aims to study the solution approaches proposed to solve MOBO problems, including exact methods and approximate techniques such as metaheuristics (MHs). This work explores classical literature to investigate why most classical methods, theories, and algorithms focus on linear and some convex MOBO problems to solve the optimistic MOBO. Moreover, we study and propose a taxonomy of MH-based frameworks for solving some MOBO instances, highlighting the pros and cons of five main approaches. Finally, a growing interest in MOBO has been detected in the optimization community. A significant number of possible applications and solution approaches establish an early research line to find solutions to these types of problems.
AbstractList	Optimization makes processes, systems, or products more efficient, reliable, and with better outcomes. A popular topic on optimization today is multiobjective bilevel optimization (MOBO). In MOBO, an upper level problem is constrained by the solution of a lower level one. The problem at each level can include multiple conflicting objective functions and its own constraints. This survey aims to study the solution approaches proposed to solve MOBO problems, including exact methods and approximate techniques such as metaheuristics (MHs). This work explores classical literature to investigate why most classical methods, theories, and algorithms focus on linear and some convex MOBO problems to solve the optimistic MOBO. Moreover, we study and propose a taxonomy of MH-based frameworks for solving some MOBO instances, highlighting the pros and cons of five main approaches. Finally, a growing interest in MOBO has been detected in the optimization community. A significant number of possible applications and solution approaches establish an early research line to find solutions to these types of problems.
Author	Rodriguez-Molina, Alejandro Mezura-Montes, Efren Mejia-de-Dios, Jesus-Adolfo
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References	ref57 ref56 ref59 ref53 ref55 ref54 lv (ref52) 2019; 15 dempe (ref9) 2002 ref51 ref46 ref45 ref48 ref47 ref42 ref41 ref44 ref43 ref49 ref8 de dios (ref111) 2022; 412 ref4 ref3 ref6 ref5 ref100 ref101 ref40 ref35 ref34 ref37 ref36 ref31 ref30 ref33 ref32 ref39 ref38 coello-coello (ref25) 2007; 5 biswas (ref88) 2015 ref24 ref26 ref20 dempe (ref22) 2020 ref28 dirkse (ref58) 1994 ref27 ref29 del valle (ref108) 2020; 30 strömman (ref92) 2014 ref13 ref12 ref15 ref97 ref96 ref99 ref11 dempe (ref60) 2010; 131 ref98 ref10 ref16 ref19 ref18 ref93 ref95 ref91 ref90 ref89 sinha (ref23) 2013 ref86 ref85 ref87 thompson (ref94) 2018 ref82 ref81 ref84 ref83 ref80 rizk-allah (ref50) 2020 ref79 ref78 ref109 ref106 ref107 ref75 ref104 ref74 ref105 ref77 ref102 ref76 ref103 ref2 ref1 stackelberg (ref17) 1934 ref71 ref70 ref112 ref73 ref72 ref110 ref68 von-stackelberg (ref14) 2010 ref67 ref69 ref64 ref63 migdalas (ref7) 2013; 20 ref66 ref113 ref65 bard (ref21) 2013; 30 ref62 ref61
References_xml	– ident: ref40 doi: 10.1007/s10957-012-0161-z – ident: ref42 doi: 10.1057/palgrave.jors.2600435 – ident: ref49 doi: 10.1016/j.energy.2017.04.059 – ident: ref10 doi: 10.1109/TEVC.2017.2712906 – ident: ref113 doi: 10.1109/TEVC.2021.3095313 – ident: ref72 doi: 10.1016/j.knosys.2013.07.015 – ident: ref5 doi: 10.1007/s13198-017-0650-4 – ident: ref2 doi: 10.1080/10426910802679634 – ident: ref54 doi: 10.3934/dcdss.2020102 – ident: ref65 doi: 10.1109/CEC.2009.4983076 – start-page: 291 year: 2014 ident: ref92 publication-title: Collaborative Optimization Based Design Process for Process Engineering – ident: ref34 doi: 10.1186/1029-242X-2014-41 – volume: 5 year: 2007 ident: ref25 publication-title: Evolutionary Algorithms for Solving Multi-Objective Problems – ident: ref90 doi: 10.1007/978-3-642-37140-0_46 – ident: ref55 doi: 10.1504/IJOR.2020.105364 – ident: ref24 doi: 10.1007/978-981-10-1768-1 – ident: ref85 doi: 10.1007/s00500-021-05750-0 – ident: ref59 doi: 10.1080/10236198.2016.1210607 – ident: ref3 doi: 10.1002/sres.967 – start-page: 247 year: 2013 ident: ref23 publication-title: Bilevel Multi-Objective Optimization and Decision Making – ident: ref93 doi: 10.1080/0305215X.2011.573853 – ident: ref105 doi: 10.1109/CEC.2015.7257087 – year: 2010 ident: ref14 publication-title: Market Structure and Equilibrium – ident: ref99 doi: 10.1109/ICAL.2007.4338941 – ident: ref51 doi: 10.1186/s13660-015-0780-7 – ident: ref63 doi: 10.1080/02331934.2010.511674 – volume: 412 year: 2022 ident: ref111 article-title: Pseudo-feasible solutions in evolutionary bilevel optimization: Test problems and performance assessment publication-title: Appl Math Comput – ident: ref112 doi: 10.1109/TEVC.2021.3120111 – volume: 131 start-page: 37 year: 2010 ident: ref60 article-title: Is bilevel programming a special case of a mathematical program with complementarity constraints? publication-title: Math Program doi: 10.1007/s10107-010-0342-1 – volume: 20 year: 2013 ident: ref7 publication-title: Multilevel Optimization Algorithms and Applications – start-page: 325 year: 2018 ident: ref94 publication-title: Optimizing Courier Routes in Central Business Districts – ident: ref41 doi: 10.22436/jnsa.009.05.83 – ident: ref101 doi: 10.1109/TSMC.2015.2406863 – ident: ref20 doi: 10.1016/j.asoc.2014.06.044 – volume: 30 year: 2013 ident: ref21 publication-title: Practical Bilevel Optimization Algorithms and Applications – ident: ref75 doi: 10.22436/jmcs.07.03.08 – start-page: 581 year: 2020 ident: ref22 publication-title: Bilevel Optimization Theory Algorithms Applications and a Bibliography – ident: ref57 doi: 10.1155/2017/2870420 – ident: ref89 doi: 10.1109/WI-IAT.2012.90 – ident: ref73 doi: 10.1007/978-3-319-28270-1_9 – ident: ref84 doi: 10.3233/ICA-130452 – ident: ref8 doi: 10.1007/978-3-662-46059-7 – ident: ref107 doi: 10.3390/a12070143 – ident: ref76 doi: 10.1145/2739480.2754644 – ident: ref100 doi: 10.1109/TSMC.2018.2882792 – ident: ref15 doi: 10.1007/s10957-006-9136-2 – ident: ref98 doi: 10.1016/j.tre.2015.11.001 – ident: ref70 doi: 10.22436/jnsa.009.06.19 – start-page: 171 year: 2015 ident: ref88 publication-title: Genetic Algorithm Based Multiobjective Bilevel Programming for Optimal Real and Reactive Power Dispatch Under Uncertainty – ident: ref62 doi: 10.4236/ajor.2011.14024 – ident: ref1 doi: 10.1016/j.asoc.2015.03.032 – ident: ref48 doi: 10.1007/s40092-017-0244-4 – ident: ref96 doi: 10.1109/CIS.2011.43 – ident: ref82 doi: 10.1109/CIS.2009.37 – ident: ref38 doi: 10.4236/ajor.2017.72009 – ident: ref68 doi: 10.1016/j.cor.2016.08.001 – ident: ref13 doi: 10.1007/978-3-642-37838-6_1 – ident: ref67 doi: 10.1007/978-3-642-19893-9_19 – ident: ref16 doi: 10.1007/s10957-011-9943-y – ident: ref27 doi: 10.1016/j.conengprac.2014.03.003 – ident: ref77 doi: 10.1007/978-3-642-32650-9_35 – ident: ref91 doi: 10.1109/CEC.2016.7744025 – ident: ref109 doi: 10.1109/ACCESS.2020.3013568 – ident: ref104 doi: 10.1145/3071178.3071244 – ident: ref37 doi: 10.1080/02331934.2018.1523402 – ident: ref33 doi: 10.1007/978-3-319-72926-8_15 – year: 1994 ident: ref58 publication-title: Robust solution of mixed complementarity problems – ident: ref32 doi: 10.4236/ajor.2013.32026 – ident: ref43 doi: 10.1016/j.knosys.2007.01.003 – ident: ref26 doi: 10.1109/TCYB.2014.2307319 – year: 1934 ident: ref17 publication-title: Marktform und Gleichgewicht – ident: ref35 doi: 10.1007/s12351-019-00534-9 – ident: ref53 doi: 10.1007/s10957-006-9150-4 – ident: ref86 doi: 10.1016/j.knosys.2016.06.018 – ident: ref45 doi: 10.1007/s10898-008-9365-z – ident: ref46 doi: 10.1016/j.eswa.2011.02.069 – year: 2002 ident: ref9 publication-title: Foundations of Bilevel Programming – ident: ref11 doi: 10.1007/978-3-030-52119-6_15 – ident: ref106 doi: 10.1155/2017/1853131 – ident: ref87 doi: 10.1109/CEC.2011.5949668 – ident: ref19 doi: 10.1016/j.amc.2014.09.013 – ident: ref103 doi: 10.1016/j.jclepro.2020.120409 – ident: ref36 doi: 10.4236/am.2012.330196 – ident: ref44 doi: 10.1287/mnsc.30.8.1004 – ident: ref66 doi: 10.3182/20090506-3-SF-4003.00062 – ident: ref31 doi: 10.1007/s40305-020-00305-w – ident: ref47 doi: 10.12785/amis/080622 – ident: ref79 doi: 10.1109/CIS.2019.00095 – ident: ref110 doi: 10.1109/TEVC.2015.2443057 – ident: ref4 doi: 10.1007/s10922-017-9425-0 – ident: ref69 doi: 10.1155/2012/626717 – ident: ref56 doi: 10.3233/JIFS-169351 – ident: ref102 doi: 10.1109/LISS.2018.8593229 – start-page: 1 year: 2020 ident: ref50 article-title: A comparative study of two optimization approaches for solving bi-level multi-objective linear fractional programming problem publication-title: Proc OPSEARCH – volume: 30 year: 2020 ident: ref108 article-title: Multi-objective bi-level optimization model for the investment in gas infrastructures publication-title: Energ Strategy Rev – ident: ref95 doi: 10.1002/atr.5670360106 – ident: ref64 doi: 10.1007/978-3-642-02298-2_3 – ident: ref18 doi: 10.1007/s10957-015-0789-6 – ident: ref39 doi: 10.1007/978-1-4614-7621-4_4 – ident: ref29 doi: 10.1007/978-3-642-01020-0_13 – ident: ref71 doi: 10.1007/978-3-319-15934-8_18 – ident: ref83 doi: 10.1504/IJCSE.2016.074562 – ident: ref78 doi: 10.1109/CIS.2013.71 – ident: ref61 doi: 10.1186/1029-242X-2014-164 – volume: 15 start-page: 1213 year: 2019 ident: ref52 article-title: Linear bilevel multiobjective optimization problem: Penalty approach publication-title: J Ind Manage Optim doi: 10.3934/jimo.2018092 – ident: ref30 doi: 10.3934/jimo.2020161 – ident: ref81 doi: 10.1371/journal.pone.0243926 – ident: ref6 doi: 10.1016/j.psep.2018.08.017 – ident: ref97 doi: 10.1049/itr2.12072 – ident: ref12 doi: 10.1162/EVCO_a_00015 – ident: ref80 doi: 10.1109/CEC.2015.7257083 – ident: ref74 doi: 10.1016/j.compscitech.2013.05.012 – ident: ref28 doi: 10.1007/s10107-008-0259-0
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SubjectTerms	Algorithms Bi-level optimization Constraints evolutionary algorithms Heuristic methods Linear programming Metaheuristics metaheuristics (MHs) multiobjective optimization Multiple objective analysis Optimization Surveys Task analysis Taxonomy
Title	Multiobjective Bilevel Optimization: A Survey of the State-of-the-Art
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