Journal of Systems Engineering and Electronics ›› 2009, Vol. 31 ›› Issue (5): 1222-1226.

• 软件、算法与仿真 • 上一篇    下一篇

基于进化计算的多目标鲁棒优化方法

蒲保兴1,2, 杨路明1, 肖潇1   

  1. 1. 中南大学信息科学与工程学院, 湖南, 长沙, 410083;
    2. 邵阳学院信息工程系, 湖南, 邵阳, 422001
  • 收稿日期:2008-01-29 修回日期:2008-07-01 出版日期:2009-05-20 发布日期:2010-01-03
  • 作者简介:蒲保兴(1965- ),男,副教授,博士研究生,主要研究方向为人工智能.E-mail:pubook@yahoo.com.cn
  • 基金资助:
    湖南省教育厅科研基金(05C671);中南大学创新基金(ZB018)资助课题

Multi-objective robust optimization method based on evolutionary computation

PU Bao-xing1,2, YANG Lu-ming1, XIAO Xiao1   

  1. 1. School of Information Science and Engineering, Central South Univ., Changsha 410083, China;
    2. Dept. of Information Engineering, Shaoyang Coll., Shaoyang 422001, China
  • Received:2008-01-29 Revised:2008-07-01 Online:2009-05-20 Published:2010-01-03

摘要: 工程应用中求解多目标优化问题时,所求的解既要具有较高的质量,又要满足指定的鲁棒性要求.对已有的多目标优化解的鲁棒性度量方法进行了分析,基于用户提出的严格鲁棒性要求,给出了一种严格鲁棒性度量方法并建立了求多目标鲁棒Pareto最优解的数学模型.模型归结为一个嵌套的双重优化过程,外层优化过程用于搜索高质量的解,内层优化过程用于测量候选解的鲁棒性度量指标.以进化计算作为搜索引擎,给出了实施模型的算法,仿真结果表明了方法是有效的.

Abstract: The relatively high quality and appointed robustness of solutions are quite desirable in solving a multi-objective optimization problem of the engineering application.This paper proposes a strict robustness measure method and a mathematical model to obtain multi-objective robust Pareto optimal solutions based on user's strict robustness requirement and by analyzing the existing robustness measure methods of multi-objective optimization solutions.The model includes a dual nested optimization process,in which the external optimization process measures the performance of candidate solutions,while the inner optimization process measures the robustness index of candidate solutions.By using evolutionary computation as a search engine,an algorithm for implementing the model is proposed,and simulation results indicate that the proposed method is effective.

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