An Effective Combination of Genetic Operators in Evolutionary Algorithm

Qing Zhang, Sanyou Zeng, Zhengjun Li, Hongyong Jing
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Abstract

An evolutionary algorithm (EA) is designed and then is used to solve constrained optimization problems in this paper. The difference of the proposed algorithm from other EAs stays in combination of two crossover operators: one is affine crossover which inherits characteristics of the parents by using function continuity, one is uniform crossover which preserves some discrete genes of the parents by using Darwin's principle. Since both crossovers are independent to some extent, population diversity could be well maintained, then the new EA (denoted FUXEA) could enhance capacity in global search. The FUXEA algorithm is compared with some state-of-the-art algorithms which were published in a best journal in evolutionary computation area, and 13 widely used constraint benchmark problems to test the algorithm. The experimental results suggest it outperforms to or not worse than others, especially for the problems with many local optima, it performs much better.
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遗传算子在进化算法中的有效组合
本文设计了一种进化算法,并将其用于求解约束优化问题。该算法与其他遗传算法的不同之处在于结合了两种交叉算子:一种是仿射交叉,利用函数连续性继承了亲本的特征;另一种是均匀交叉,利用达尔文原理保留了亲本的一些离散基因。由于两种交叉算法在一定程度上是独立的,可以很好地保持种群的多样性,因此新的交叉算法(表示为FUXEA)可以增强全局搜索能力。将FUXEA算法与发表在进化计算领域最佳期刊上的一些最新算法进行了比较,并对13个广泛使用的约束基准问题进行了测试。实验结果表明,该算法的性能优于或不低于其他算法,特别是在局部最优算法较多的问题上,其性能要好得多。
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