计算机科学 ›› 2014, Vol. 41 ›› Issue (2): 114-118.

• CCML 2013 • 上一篇    下一篇

一种改进的基于分解的多目标进化算法

侯薇,董红斌,印桂生   

  1. 哈尔滨工程大学计算机科学与技术学院 哈尔滨150001;哈尔滨工程大学计算机科学与技术学院 哈尔滨150001;哈尔滨工程大学计算机科学与技术学院 哈尔滨150001
  • 出版日期:2018-11-14 发布日期:2018-11-14
  • 基金资助:
    本文受国家自然科学基金项目(60973075,6),工信部基础科研计划资助

Enhanced Multi-objective Evolutionary Algorithm Based on Decomposition

HOU Wei,DONG Hong-bin and YIN Gui-sheng   

  • Online:2018-11-14 Published:2018-11-14

摘要: 利用基于分解的多目标进化算法框架(MOEA/D),将混合策略的进化算法用于求解分解后的若干单目标优化子问题,提出了一种带局部搜索的基于分解的多目标混合策略进化算法(LMS-MOEA/D)。算法利用均匀设计产生子问题的聚合权重向量,混合交叉策略能够充分利用不同交叉算子的优势;同时算法针对演化过程收敛的特点,结合局部搜索策略,获得逼近Pareto前沿的最优解集。最后通过实验验证算法在多样性和收敛性方面的有效性。

关键词: 分解,均匀设计,多目标优化,局部搜索,混合策略 中图法分类号TP18文献标识码A

Abstract: A novel algorithm,called multi-objective mixed strategy evolutionary algorithm with local search (LMS-MOEA/D),was presented based on the frame of MOEA/D (multi-objective evolutionary algorithm based on decomposition),to solve a set of scalar optimization sub-problems.The uniform design method was applied to generate the aggregation coefficient vectors.The mixed strategy can make full use of the advantage of each crossover operator,and the algorithm combines local search strategy to approximate the Pareto-optimal set.Experimental results indicate that the proposed algorithm has the efficiency and effectiveness in terms of diversity and convergence.

Key words: Decomposition,Uniform design,Multi-objective optimization (MOP),Local search,Mixed strategy

[1] Deb K,Agrawal S,Pratap A,et al.A fast and elitist multi-objective genetic algorithm:NSGA-II [J].IEEE Transactions on Evo-lutionary Computation,2002,6(2):182-197
[2] Zhou Ai-min,Qu B Y,Li Hui,et al.Multiobjective evolutionary algorithms:A survey of the state of the art [J].Swarm and Evolutionary Computation,2011,1(1):32-49
[3] Zhang Q F,Li H.MOEA/D:A multiobjective evolutionary algorithm based on decomposition [J].IEEE Transactions on Evolutionary Computation,2007,1(6):712-731
[4] 公茂果,焦李成,杨咚咚,等.进化多目标优化算法研究 [J].软件学报,2009,0(2):271-289
[5] Li H,Zhang Q F.Multiobjective optimization problems withcomplicated pareto sets,MOEA/D and NSGA-II [J].IEEE Transactions on Evolutionary Computation,2009,3(2):284-302
[6] Tan Yan-yan,Jiao Yong-chang,Li Hong,et al.A modification to MOEA/D-DE for multiobjective optimization problems with complicated Pareto sets [J].Information Sciences,2012,3(5):14-38
[7] Sindhya K,Miettinen K,Deb K.A hybrid framework for evolutionary multi-objective optimization [J].IEEE Transactions on Evolutionary Computation,2013,7(4):495-511
[8] Fang K T,Lin D K J,Winker P,et al.Uniform design:theory and application [J].Technometrics,2000,42(3):237-248
[9] He J,Yao X.A game-theoretic approach for designing mixedmutation strategies [C]∥Proceedings of the International Conference on Natural Computation.Berlin:Springer,2005:279-288
[10] Dong Hong-bin,He Jun,Huang Hou-kuan,et al.Evolutionary programming using a mixed mutation strategy [J].Information Sciences,2007,177(1):312-327
[11] Gong Mao-guo,Liu Chao,Jiao Li-cheng,et al.Hybrid immune algorithm with Lamarckian local search for multi-objective optimization [J].Memetic Computing,2010,2(1):47-67
[12] Hansen M P.Use of substitute scalarizing functions to guide alocal search based heuristic:The case of moTSP [J].Journal of Heuristics,2000,6(3):419-431
[13] Jaszkiewicz A.Genetic local search for multi-objective combinatorial optimization [J].European Journal of Operational Research,2002,137(1):50-71
[14] Sindhya K,Deb K,Miettinen K.A local search based evolutio-nary multi-objective approach for fast and accurate convergence [C]∥Proceedings of the Parallel Problem Solving from Nature-PPSN X.Berlin:Springer,2008:815-824
[15] Talbi E G,Rahoual M,Mabed M,et al.A hybrid evolutionaryapproach for multicriteria optimization problems:Application to the flow shop [C]∥Proceedings of the Evolutionary Multi-Criterion Optimization.Berlin:Springer,2001:416-428
[16] Sindhya K,Deb K,Miettinen K.Improving convergence of evolutionary multi-objective optimization with local search:A concurrent-hybrid algorithm [J].Natural Computing,2011,10(4):1407-1430
[17] Miettinen K.Nonlinear Multiobjective Optimization [M].Boston:Kluwer,1999
[18] Huband S,Hingston P,Barone L,et al.A review of multiobjective test problems and a scalable test problem toolkit [J].IEEE Transactions on Evolutionary Computation,2006,0(5):477-506
[19] Okabe T,Jin Y C,Olhofer M,et al.On test functions for evolutionary multi-objective optimization [C]∥Proceedings of Parallel Problem Solving From Nature-PPSN VIII.Berlin:Springer,2004:792-802
[20] Deb K,Sinha A,Kukkonen S.Multi-objective test problems,linkages,and evolutionary methodologies [C]∥Proceedings of the 8th annual conference on Genetic and Evolutionary Computation (GECCO’06).New York:ACM,2006:1141-1148
[21] Li H,Zhang Q F.A multi-objective differential evolution based on decomposition for multi-objective optimization with variable linkages [C]∥Proceedings of Parallel Problem Solving from Nature—PPSN IX.Berlin:Springer,2006:583-592

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