An Improved Particle Swarm Optimization for Solving Bilevel Multiobjective Programming Problem
An improved particle swarm optimization (PSO) algorithm is proposed for solving bilevel multiobjective programming problem (BLMPP). For such problems, the proposed algorithm directly simulates the decision process of bilevel programming, which is different from most traditional algorithms designed f...
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| Vydáno v: | Journal of Applied Mathematics Ročník 2012; číslo 2012; s. 1441 - 1453-491 |
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| Hlavní autoři: | , , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
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Cairo, Egypt
Hindawi Limiteds
01.01.2012
Hindawi Publishing Corporation John Wiley & Sons, Inc Wiley |
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| ISSN: | 1110-757X, 1687-0042 |
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| Abstract | An improved particle swarm optimization (PSO) algorithm is proposed for solving bilevel multiobjective programming problem (BLMPP). For such problems, the proposed algorithm directly simulates the decision process of bilevel programming, which is different from most traditional algorithms designed for specific versions or based on specific assumptions. The BLMPP is transformed to solve multiobjective optimization problems in the upper level and the lower level interactively by an improved PSO. And a set of approximate Pareto optimal solutions for BLMPP is obtained using the elite strategy. This interactive procedure is repeated until the accurate Pareto optimal solutions of the original problem are found. Finally, some numerical examples are given to illustrate the feasibility of the proposed algorithm. |
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| AbstractList | An improved particle swarm optimization (PSO) algorithm is proposed for solving bilevel multiobjective programming problem (BLMPP). For such problems, the proposed algorithm directly simulates the decision process of bilevel programming, which is different from most traditional algorithms designed for specific versions or based on specific assumptions. The BLMPP is transformed to solve multiobjective optimization problems in the upper level and the lower level interactively by an improved PSO. And a set of approximate Pareto optimal solutions for BLMPP is obtained using the elite strategy. This interactive procedure is repeated until the accurate Pareto optimal solutions of the original problem are found. Finally, some numerical examples are given to illustrate the feasibility of the proposed algorithm. An improved particle swarm optimization (PSO) algorithm is proposed for solving bilevel multiobjective programming problem (BLMPP). For such problems, the proposed algorithm directly simulates the decision process of bilevel programming, which is different from most traditional algorithms designed for specific versions or based on specific assumptions. The BLMPP is transformed to solve multiobjective optimization problems in the upper level and the lower level interactively by an improved PSO. And a set of approximate Pareto optimal solutions for BLMPP is obtained using the elite strategy. This interactive procedure is repeated until the accurate Pareto optimal solutions of the original problem are found. Finally, some numerical examples are given to illustrate the feasibility of the proposed algorithm. |
| Author | Guo, Xuning Hu, Tiesong Zheng, Yue Zhang, Tao |
| Author_xml | – sequence: 1 fullname: Guo, Xuning – sequence: 2 fullname: Zheng, Yue – sequence: 3 fullname: Hu, Tiesong – sequence: 4 fullname: Zhang, Tao |
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| Cites_doi | 10.1109/CEC.2007.4424750 10.1016/j.knosys.2007.01.003 10.1007/s10107-008-0259-0 10.1109/4235.996017 10.1109/ICAIS.2002.1048121 10.1051/ro/1994280100011 10.1109/CEC.2009.4983076 10.1007/978-3-642-01020-0_13 10.1007/s10288-005-0071-0 10.1023/A:1021729618112 10.1007/s10898-010-9595-8 10.1007/s10479-007-0176-2 10.1007/978-1-4615-6305-1 10.1057/palgrave.jors.2600435 10.1080/0233193031000149894 10.1016/j.eswa.2011.02.069 10.1007/BF01096458 10.1002/mcda.285 10.1016/j.ins.2007.02.005 10.1016/j.camwa.2009.02.028 10.1007/978-1-4757-2836-1 10.1007/11785231_122 10.1017/CBO9780511983658 10.1007/978-3-642-02298-2_3 10.1061/(ASCE)0733-947X(2000)126:2(115) 10.1109/TSMCC.2004.841908 |
| ContentType | Journal Article |
| Copyright | Copyright © 2012 Tao Zhang et al. Copyright © 2012 Tao Zhang et al. Tao Zhang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Copyright 2012 Hindawi Publishing Corporation |
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| References | (23) 2010; 123 (19) 2007; 177 (17) 1997; 48 (20) 1999; 103 (34) 2002; 6 DempeS.Foundations of Bilevel Programming200261Dordrecht, The NetherlandsKluwer AcademicNonconvex Optimization and its Applications1921449 SinhaA.DebK.Towards understanding evolutionary bilevel multiobjective optimization algorithmTechnical Report20082008006Kanpur, IndiaDepartment of Mechanical Engineering, Indian Institute of Technology Kanpur DebK.SinhaA.An evolutionary approach for bilevel multiobjective problemsCutting-Edge Research Topics on Multiple Criteria Decision Making200935Berlin, Germany1724Communications in Computer and Information Science10.1007/978-3-642-02298-2_3 LiX.lixiangyong@163.comTianP.ptian@sjtu.edu.cnMinX.mxptiger@163.comA hierarchical particle swarm optimization for solving bilevel programming problems4029Proceedings of the 8th International Conference on Artificial Intelligence and Soft Computing (ICAISC '06)200611691178Lecture Notes in Computer Science10.1007/11785231_122 (33) 2011; 51 ShimizuK.IshizukaY.BardJ. F.Nondifferentiable and Two-Level Mathematical Programming1997Dordrecht, The NetherlandsKluwer Academic1429865 DebK.SinhaA.An efficient and accurate solution methodology for bilevel multi-objective programming problems using a hybrid evolutionary local-search algorithmTechnical Report20092009001 DebK.SinhaA.Solving bilevel multiobjective optimization problems using evolutionary algorithms5467Proceedings of the 5th International Conference on Evolutionary Multi-Criterion Optimization (EMO '09)2009110124Lecture Notes in Computer Science (16) 2000; 126 (21) 2011; 38 (1) 2007; 153 EichfelderG.Solving nonlinear multi-objective bi-level optimization problems with coupled upper level constraintsTechnical Report2007320Institute of Applied Mathematics, University Erlangen-Nrnberg, Germany DebK.SinhaA.Constructing test problems for bilevel evolutionary multi-objective optimizationProceedings of the IEEE Congress on Evolutionary Computation (CEC '09)May 2009115311602-s2.0-7044983880310.1109/CEC.2009.4983076 (13) 1994; 28 (11) 1991; 42 DebK.SinhaA.Solving bilevel multi-objective optimization problems using evolutionary algorithmsKangal Report2008 BardJ. F.Practical Bilevel Optimization: Algorithms and Applications199830Dordrecht, The NetherlandsKluwer Academic1680111 OduguwaV.RoyR.Bi-level optimization using genetic algorithmProceedings of the IEEE International Conference on Artificial Intelligence Systems2002322327 KohA.Solving transportation bi-level programs with differential evolutionProceedings of the IEEE Congress on Evolutionary Computation (CEC '07)September 2007224322502-s2.0-4064911802010.1109/CEC.2007.4424750 (8) 2005; 3 (5) 2003; 52 (18) 2001; 10 (32) 2009; 58 (37) 2007; 20 KennedyJ.EberhartR.ShiY.Swarm Intelligence2001San Francisco, Calif, USAMorgan Kaufmann (2) 1994; 5 (35) 2002; 6 (15) 2005; 35 (10) 1994; 5 (9) 2007; 36 LuoZ.-Q.PangJ.-S.RalphD.Mathematical Programs with Equilibrium Constraints1996Cambridge, UKCambridge University Press1419501 SinhaA.Ankur.Sinha@aalto.fiBilevel multi-objective optimization problem solving using progressively interactive EMO6576Proceedings of the 6th International Conference on Evolutionary Multi-Criterion Optimization (EMO '11)201126928410.1007/978-3-642-19893-9_19 e_1_2_7_5_2 e_1_2_7_3_2 e_1_2_7_2_2 e_1_2_7_8_2 e_1_2_7_7_2 e_1_2_7_6_2 e_1_2_7_19_2 e_1_2_7_18_2 e_1_2_7_17_2 e_1_2_7_16_2 e_1_2_7_15_2 e_1_2_7_1_2 Wen U. P. (e_1_2_7_11_2) 1991; 42 e_1_2_7_14_2 Kennedy J. (e_1_2_7_30_2) 2001 e_1_2_7_13_2 e_1_2_7_12_2 e_1_2_7_10_2 Wang G. M. (e_1_2_7_9_2) 2007; 36 e_1_2_7_27_2 e_1_2_7_28_2 e_1_2_7_29_2 e_1_2_7_25_2 e_1_2_7_24_2 e_1_2_7_23_2 e_1_2_7_31_2 e_1_2_7_22_2 e_1_2_7_32_2 e_1_2_7_21_2 e_1_2_7_33_2 e_1_2_7_20_2 e_1_2_7_34_2 e_1_2_7_35_2 e_1_2_7_36_2 e_1_2_7_37_2 Dempe S. (e_1_2_7_4_2) 2002 Deb K. (e_1_2_7_26_2) 2009 |
| References_xml | – volume: 126 start-page: 115 issue: 2 year: 2000 end-page: 119 ident: 16 article-title: Genetic-algorithms-based approach for bilevel programming models – volume: 52 start-page: 333 issue: 3 year: 2003 end-page: 359 ident: 5 article-title: Annotated bibliography on bilevel programming and mathematical programs with equilibrium constraints – volume: 35 start-page: 221 issue: 2 year: 2005 end-page: 232 ident: 15 article-title: An evolutionary algorithm for solving nonlinear bilevel programming based on a new constraint-handling scheme – volume: 3 start-page: 87 issue: 2 year: 2005 end-page: 107 ident: 8 article-title: Bilevel programming: a survey – volume: 153 start-page: 235 year: 2007 end-page: 256 ident: 1 article-title: An overview of bilevel optimization – volume: 123 start-page: 419 issue: 2 year: 2010 end-page: 449 ident: 23 article-title: Multiobjective bilevel optimization – reference: DebK.SinhaA.Solving bilevel multiobjective optimization problems using evolutionary algorithms5467Proceedings of the 5th International Conference on Evolutionary Multi-Criterion Optimization (EMO '09)2009110124Lecture Notes in Computer Science – reference: DebK.SinhaA.Solving bilevel multi-objective optimization problems using evolutionary algorithmsKangal Report2008 – volume: 28 start-page: 1 issue: 1 year: 1994 end-page: 21 ident: 13 article-title: Genetic algorithm based approach to bilevel linear programming – reference: LuoZ.-Q.PangJ.-S.RalphD.Mathematical Programs with Equilibrium Constraints1996Cambridge, UKCambridge University Press1419501 – volume: 48 start-page: 943 issue: 9 year: 1997 end-page: 949 ident: 17 article-title: Interactive bilevel multi-objective decision making – reference: DebK.SinhaA.An efficient and accurate solution methodology for bilevel multi-objective programming problems using a hybrid evolutionary local-search algorithmTechnical Report20092009001 – volume: 36 start-page: 513 issue: 5 year: 2007 end-page: 529 ident: 9 article-title: Bibliography on bilevel programming – volume: 42 start-page: 125 issue: 2 year: 1991 end-page: 133 ident: 11 article-title: Linear bi-level programming problems. A review – volume: 177 start-page: 3397 issue: 16 year: 2007 end-page: 3410 ident: 19 article-title: Interactive balance space approach for solving multi-level multi-objective programming problems – reference: SinhaA.Ankur.Sinha@aalto.fiBilevel multi-objective optimization problem solving using progressively interactive EMO6576Proceedings of the 6th International Conference on Evolutionary Multi-Criterion Optimization (EMO '11)201126928410.1007/978-3-642-19893-9_19 – reference: LiX.lixiangyong@163.comTianP.ptian@sjtu.edu.cnMinX.mxptiger@163.comA hierarchical particle swarm optimization for solving bilevel programming problems4029Proceedings of the 8th International Conference on Artificial Intelligence and Soft Computing (ICAISC '06)200611691178Lecture Notes in Computer Science10.1007/11785231_122 – volume: 51 start-page: 245 year: 2011 end-page: 254 ident: 33 article-title: Particle swarm optimization for bi-level pricing problems in supply chains – volume: 10 start-page: 27 year: 2001 end-page: 34 ident: 18 article-title: Model and interactive algorithm of bi-level multi-objective decision-making with multiple interconnected decision makers – reference: DebK.SinhaA.An evolutionary approach for bilevel multiobjective problemsCutting-Edge Research Topics on Multiple Criteria Decision Making200935Berlin, Germany1724Communications in Computer and Information Science10.1007/978-3-642-02298-2_3 – reference: SinhaA.DebK.Towards understanding evolutionary bilevel multiobjective optimization algorithmTechnical Report20082008006Kanpur, IndiaDepartment of Mechanical Engineering, Indian Institute of Technology Kanpur – volume: 6 start-page: 182 issue: 2 year: 2002 end-page: 197 ident: 34 article-title: A fast and elitist multiobjective genetic algorithm: NSGA-II – volume: 5 start-page: 291 issue: 3 year: 1994 end-page: 306 ident: 10 article-title: Bilevel and multilevel programming: a bibliography review – reference: DebK.SinhaA.Constructing test problems for bilevel evolutionary multi-objective optimizationProceedings of the IEEE Congress on Evolutionary Computation (CEC '09)May 2009115311602-s2.0-7044983880310.1109/CEC.2009.4983076 – reference: KohA.Solving transportation bi-level programs with differential evolutionProceedings of the IEEE Congress on Evolutionary Computation (CEC '07)September 2007224322502-s2.0-4064911802010.1109/CEC.2007.4424750 – volume: 103 start-page: 161 issue: 1 year: 1999 end-page: 182 ident: 20 article-title: Stackelberg solutions to multiobjective two-level linear programming problems – volume: 6 start-page: 182 year: 2002 end-page: 197 ident: 35 article-title: Multi-objective optimization using evolutionary algorithms – reference: ShimizuK.IshizukaY.BardJ. F.Nondifferentiable and Two-Level Mathematical Programming1997Dordrecht, The NetherlandsKluwer Academic1429865 – volume: 20 start-page: 495 year: 2007 end-page: 507 ident: 37 article-title: Decentralized multi-objective bilevel decision making with fuzzy demands – reference: DempeS.Foundations of Bilevel Programming200261Dordrecht, The NetherlandsKluwer AcademicNonconvex Optimization and its Applications1921449 – volume: 58 start-page: 678 issue: 4 year: 2009 end-page: 685 ident: 32 article-title: Application of particle swarm optimization algorithm for solving bi-level linear programming problem – reference: EichfelderG.Solving nonlinear multi-objective bi-level optimization problems with coupled upper level constraintsTechnical Report2007320Institute of Applied Mathematics, University Erlangen-Nrnberg, Germany – reference: BardJ. F.Practical Bilevel Optimization: Algorithms and Applications199830Dordrecht, The NetherlandsKluwer Academic1680111 – reference: OduguwaV.RoyR.Bi-level optimization using genetic algorithmProceedings of the IEEE International Conference on Artificial Intelligence Systems2002322327 – volume: 38 start-page: 10384 year: 2011 end-page: 10388 ident: 21 article-title: A fuzzy interactive method for a class of bilevel multiobjective programming problem – volume: 5 start-page: 291 issue: 3 year: 1994 end-page: 306 ident: 2 article-title: Bilevel and multilevel programming: a bibliography review – reference: KennedyJ.EberhartR.ShiY.Swarm Intelligence2001San Francisco, Calif, USAMorgan Kaufmann – ident: e_1_2_7_12_2 doi: 10.1109/CEC.2007.4424750 – ident: e_1_2_7_37_2 doi: 10.1016/j.knosys.2007.01.003 – ident: e_1_2_7_23_2 doi: 10.1007/s10107-008-0259-0 – ident: e_1_2_7_27_2 – ident: e_1_2_7_34_2 doi: 10.1109/4235.996017 – ident: e_1_2_7_14_2 doi: 10.1109/ICAIS.2002.1048121 – volume: 42 start-page: 125 year: 1991 ident: e_1_2_7_11_2 article-title: Linear bi-level programming problems. A review publication-title: Journal of the Operational Research Society – ident: e_1_2_7_13_2 doi: 10.1051/ro/1994280100011 – ident: e_1_2_7_24_2 doi: 10.1109/CEC.2009.4983076 – ident: e_1_2_7_25_2 doi: 10.1007/978-3-642-01020-0_13 – ident: e_1_2_7_8_2 doi: 10.1007/s10288-005-0071-0 – ident: e_1_2_7_35_2 doi: 10.1109/4235.996017 – ident: e_1_2_7_20_2 doi: 10.1023/A:1021729618112 – ident: e_1_2_7_33_2 doi: 10.1007/s10898-010-9595-8 – ident: e_1_2_7_1_2 doi: 10.1007/s10479-007-0176-2 – ident: e_1_2_7_7_2 doi: 10.1007/978-1-4615-6305-1 – ident: e_1_2_7_17_2 doi: 10.1057/palgrave.jors.2600435 – ident: e_1_2_7_29_2 – ident: e_1_2_7_5_2 doi: 10.1080/0233193031000149894 – ident: e_1_2_7_21_2 doi: 10.1016/j.eswa.2011.02.069 – ident: e_1_2_7_2_2 doi: 10.1007/BF01096458 – volume: 36 start-page: 513 year: 2007 ident: e_1_2_7_9_2 article-title: Bibliography on bilevel programming publication-title: Advances in Mathematics – ident: e_1_2_7_18_2 doi: 10.1002/mcda.285 – ident: e_1_2_7_19_2 doi: 10.1016/j.ins.2007.02.005 – volume-title: Swarm Intelligence year: 2001 ident: e_1_2_7_30_2 – ident: e_1_2_7_22_2 – ident: e_1_2_7_32_2 doi: 10.1016/j.camwa.2009.02.028 – ident: e_1_2_7_3_2 doi: 10.1007/978-1-4757-2836-1 – ident: e_1_2_7_31_2 doi: 10.1007/11785231_122 – ident: e_1_2_7_6_2 doi: 10.1017/CBO9780511983658 – start-page: 17 volume-title: Cutting-Edge Research Topics on Multiple Criteria Decision Making year: 2009 ident: e_1_2_7_26_2 doi: 10.1007/978-3-642-02298-2_3 – ident: e_1_2_7_16_2 doi: 10.1061/(ASCE)0733-947X(2000)126:2(115) – volume-title: Foundations of Bilevel Programming year: 2002 ident: e_1_2_7_4_2 – ident: e_1_2_7_15_2 doi: 10.1109/TSMCC.2004.841908 – ident: e_1_2_7_10_2 doi: 10.1007/BF01096458 – ident: e_1_2_7_36_2 doi: 10.1007/978-3-642-01020-0_13 – ident: e_1_2_7_28_2 |
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| SubjectTerms | Algorithms Approximation Heuristic Linear programming Mathematical models Optimization Pareto optimality Pareto optimum Programming Strategy Studies |
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| Title | An Improved Particle Swarm Optimization for Solving Bilevel Multiobjective Programming Problem |
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