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CCML2021+42: 基于空间收缩技术的约束多目标进化算法

李二超,毛玉燕   

  1. 兰州理工大学
  • 收稿日期:2021-05-31 修回日期:2021-06-04 发布日期:2021-06-04
  • 通讯作者: 毛玉燕

CCML2021+42: Constrained multi-objective evolutionary algorithm based on space shrinking technique

  • Received:2021-05-31 Revised:2021-06-04 Online:2021-06-04

摘要: 摘 要: 约束多目标进化算法在求解不可行域较大优化问题时对不可行域的合理探索不仅有助于种群快速收敛于可行区域内的最优解,还能减少无潜力不可行域对算法性能的影响。基于此,提出一种基于空间收缩技术的约束多目标进化算法(CMOEA-SST)。首先,利用自适应精英保留策略对PPS算法Pull阶段初始种群进行改进,增加Pull阶段初始种群的多样性和可行性;其次,在进化过程中采用空间收缩技术逐渐缩小搜索空间,减少无潜力不可行域对算法性能影响,使算法在兼顾收敛性和多样性的同时提高算法的收敛精度。为验证所提算法性能,与四个代表性的算法C-MOEA/D、ToP、C-TAEA、PPS在LIRCMOP系列测试问题上进行仿真对比,实验结果表明,CMOEA-SST在处理不可行域较大约束优化问题时具有更好的收敛性和多样性。

关键词: 精英保留策略, 空间收缩技术, PPS, 收敛性, 多样性

Abstract: Abstract: The reasonable exploration of the infeasible region not only hold population quickly converge to the optimal solution in the feasible region, but also reduced the impact of unpromising infeasible region on the performance of the algorithm when the constrained multi-objective evolutionary algorithm solved the optimization problems with large infeasible region. Based on this, a Constrained Multi-Objective Evolutionary Algorithm based on Space Shrinking Technique (CMOEA-SST) was proposed. On the basis of Push and Pull Search for Solving Constrained Multi-Objective Optimization Problems (PPS) algorithm, an adaptive elite retention strategy was proposed to improve the initial population in the Pull phase of the PPS algorithm, which can increase the diversity and feasibility of the initial population in the Pull phase. The space shrinking technology was used to gradually reduce the search space during the evolution process, which reduced the impact of unpromising infeasible regions. The algorithm can improve the accuracy of the algorithm while balancing the convergence and diversity. In order to verify the performance of CMOEA-SST, it is compared with four representative algorithms(C-MOEA/D、ToP、C-TAEA、PPS) on the test problems of LIRCMOP series. Experimental results show that CMOEA-SST has better convergence and diversity when dealing with optimization problems with larger infeasible regions.

Key words: elite retention strategy, space shrinkage technique, PPS, convergence, diversity

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