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一类混合遗传算法的收敛性研究
引用本文:张晓伟,邢志栋. 一类混合遗传算法的收敛性研究[J]. 数学的实践与认识, 2006, 36(12): 169-173
作者姓名:张晓伟  邢志栋
作者单位:1. 西安电子科技大学数学系,西安,710071;西北大学数学系,西安,710069
2. 西北大学数学系,西安,710069
摘    要:针对遗传算法的有效性一般是通过数值实验来说明这一问题,本文在三个假设的条件下给出了一类混合遗传算法依概率收敛的证明,而且得到了在此算法的框架下通过改变子种群Ⅱ的变异算子而不改变依概率收敛特性的结论.

关 键 词:混合遗传算法  收敛性证明  依概率
修稿时间:2005-05-14

A Study of Convergence for a Class of Hybrid Genetic Algorithm
ZHANG Xiao-wei,XING Zhi-dong. A Study of Convergence for a Class of Hybrid Genetic Algorithm[J]. Mathematics in Practice and Theory, 2006, 36(12): 169-173
Authors:ZHANG Xiao-wei  XING Zhi-dong
Abstract:For the problem that the effectivenes of Genetic Algorithm is shown generally by numerical experiments,the convergence in probability of a class of hybrid genetic Algorithm based on the condition of three hypothesizes is proved in the paper and the conclusion is drawn that the convergence in probability is not unchanged if mutation operator of sub-population Ⅱ is changed under the algorithm frame.
Keywords:hybrid Genetic Algorithm  convergence proof  in probability
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