约束优化问题的基于排序的进化算法

Yibo Hu, Yiu-ming Cheung, Yuping Wang
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引用次数: 3

摘要

在约束优化问题中,进化算法通常使用惩罚函数来处理约束,但惩罚参数难以控制。因此,本文提出了一种新的约束处理方案。它自适应地定义了一个扩展可行域,该扩展可行域不仅包括所有可行解,还包括在可行域边界附近的一些不可行解。在此基础上,构造了一种新的基于随机排序的适应度函数,同时提出了一种新的交叉算子,该算子在一般情况下可以产生更多的优秀个体。据此,提出了一种新的求解约束优化问题的进化算法。仿真结果表明,该算法在四个基准问题上的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A Ranking-Based Evolutionary Algorithm for Constrained Optimization Problems
In constrained optimization problems, evolutionary algorithms often utilize a penalty function to deal with constraints, which is, however, difficult to control the penalty parameters. This paper therefore presents a new constraint handling scheme. It adaptively defines an extended-feasible region that includes not only all feasible solutions, but some infeasible solutions near the boundary of the feasible region. Furthermore, we construct a new fitness function based on stochastic ranking, and meanwhile propose a new crossover operator that can produce more good individuals in general. Accordingly, a new evolutionary algorithm for constrained optimization problems is proposed. The simulations show the efficiency of the proposed algorithm on four benchmark problems.
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