计算机科学 ›› 2013, Vol. 40 ›› Issue (Z6): 64-66.

• 智能算法与优化 • 上一篇    下一篇

求解多目标优化问题的新遗传算法

韩丽霞   

  1. 中国矿业大学计算机学院 徐州221116
  • 出版日期:2018-11-16 发布日期:2018-11-16
  • 基金资助:
    本文受国家自然科学基金项目(60873099)资助

Novel Genetic Algorithm for Multi-objective Optimization Problem

HAN Li-xia   

  • Online:2018-11-16 Published:2018-11-16

摘要: 给出了求解多目标优化问题的一种新解法。定义了多目标优化问题的非劣方向,设计了方向杂交算子和简单的变异算子。标准算例的计算机仿真结果表明,新算法可以快速地找到一组范围广、分布均匀且数量充足的Pareto最优解。

关键词: 多目标优化,遗传算法,Pareto最优解,全局收敛

Abstract: For multi-objective optimization problems(MOP),a new algorithm was proposed.The nondominated direction was firstly defined.Then,a new crossover operator and a mutation operator were presented based on the definition.Finally,the computer simulations on benchmark problems demonstrate that the proposed algorithm is effective and can find high quality solution set in terms of convergence,diversity,and the distribution of the obtained Pareto optimal solutions.

Key words: Multi-objective optimization,Genetic algorithm(GA),Pareto optimal solution,Global convergence

[1] Fourman M P.Compactation of symbolic layout using Gas [C]∥Proceeding of the First International Conference on Genetic Algorithms and Their Application.Lawrence Erlbaum,1985:141-153
[2] Schaffer J D.Multiple objective optimization with vector evaluated genetic algorithms[C]∥Proceeding of the First International Conference on Genetic Algorithms and Their Application.Lawrence Erlbaum,1985:93-100
[3] Horn J,Nafpliotis N,Goldberg D E.A niched Pareto genetic algorithm for multiobjective optimization[C]∥Proceeding of the ICEC International Conference.1994:82-87 (下转第95页)(上接第66页)
[4] Srinivas N,Deb K.Multiobjective Function optimization usingnondominated sorting genetic algorithm[J].Evolutionary Computation,1995,2(2):221-248
[5] Zitzler E,Deb K,Thiele L.Comparison of multiobjective evolutionary algorithms:empirical results[J].Evolutionary Computation,2000,8(2):1-24
[6] Hajela P,Lin C Y.Genetic search strategies in multicriterion optimal design[J].Structure Optimization,1992,4:99-107
[7] Deb K.A fast and elitist multiobjective genetic algorithm:NSGA-Ⅱ[J].IEEE Transactions on Evolutionary Computation,2002,6(2):182-197
[8] Deb K.Multi-objective genetic algorithms:Problem difficultiesand construction of test problems[J].Evolutionary Computation,1999,7(3):205-230
[9] Leung Y W,Wang Y P.A quality measure for multi-objective programming[J].IEEE Transactions on System,Man and Cycbernetics-Part A:Systems and Human,2003,33(2):337-343
[10] Van Veldhuizen D A.Multiobjective evolutionary algorithms:classification,analysis,and new innovations[M].Doctoral Dissertation,Graduate School of Engineering of the Air Force Institute of Technology,WPAFB,OH,USA,August 1999:22-24
[11] 王宇平,焦永昌,张福顺.解多目标优化的均匀正交遗传算法[J].系统工程学报,2003,18(6):481-486
[12] Deb K.Multi-objective genetic algorithms:Problem difficulties and construction of test problems[J].Evolutionary Computation,1999,7(3):205-230
[13] Leung Y W,Wang Y P.A quality measure for multi-objective programming[J].IEEE Transactions on System,Man and Cybernetics-Part A:System and Human,2003,33(2):337-343

No related articles found!
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!