系统仿真学报 ›› 2020, Vol. 32 ›› Issue (2): 201-216.doi: 10.16182/j.issn1004731x.joss.17-9183

• 仿真支撑平台/系统技术 • 上一篇    下一篇

基于多目标进化算法混合框架的MOEA/D算法

田红军1,2, 汪镭1, 吴启迪1   

  1. 1. 同济大学 电子与信息工程学院,上海 201804;
    2. 申万宏源证券有限公司-复旦大学博士后科研工作站,上海 200031
  • 收稿日期:2017-12-18 修回日期:2018-06-06 出版日期:2020-02-18 发布日期:2020-02-19
  • 作者简介:田红军(1986-),男,山东,博士后,研究方向为智能优化、进化计算等;汪镭(1971-),男,江苏,博士,教授,博导,研究方向为智能优化与控制、人工智能等。
  • 基金资助:
    国家自然科学基金(61075064,61034004,61005090)

MOEA/D Algorithm Based on the Hybrid Framework for Multi-objective Evolutionary Algorithm

Tian Hongjun1,2, Wang Lei1, Wu Qidi1   

  1. 1. College of Electronics and Information Engineering, Tongji University, Shanghai 201804, China;
    2. Postdoctoral Research Station of Shenwan Hongyuan Secur Co Ltd. and Fudan University, Shanghai 200031, China
  • Received:2017-12-18 Revised:2018-06-06 Online:2020-02-18 Published:2020-02-19

摘要: 针对混合多目标进化算法中如何设计全局搜索算法和局部搜索策略结合机制的难点问题以及提高多目标进化算法的求解性能,基于反馈控制思想,提出了一种系统化、模块化的全局优化与局部搜索相结合的混合MOEA/D算法,算法中设计了一种基于拥挤熵的种群多样性度量方法;提出了基于简化二次逼近的局部搜索策略,以及针对MOEA/D的种群多样性增强策略。数值实验表明所提算法具有良好性能,可以兼顾算法求解的多样性和收敛性,所提混合框架可有效提升现有多目标进化算法的求解性能。

关键词: 多目标优化, 进化算法, 混合框架, MOEA/D, 反馈控制

Abstract: Aimto the difficulties of designing the bonding mechanism of global optimization algorithm and local search strategy for hybrid multi-objective evolutionary algorithm, and of improving the performance of multi-objective evolutionary algorithms, based on the feedback control idea, a systematic and modular hybrid MOEA/D algorithm combining the global optimization and local search is proposed. In the algorithm, a diversity measure method based on crowded entropy is designed; a local search strategy based on simplified quadratic approximation and population diversity enhancement strategy for MOEA/D is proposed. The numerical experiments show that the proposed HMOEA/D can achieve a balance between diversity and convergence of algorithm. The proposed hybrid framework can effectively improve the performance of existing multi-objective evolutionary algorithms.

Key words: multi-objective optimization, evolutionary algorithm, hybrid framework, MOEA/D, feedback control

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