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多模态函数优化的多种群进化策略
引用本文:王湘中,喻寿益.多模态函数优化的多种群进化策略[J].控制与决策,2006,21(3):285-288.
作者姓名:王湘中  喻寿益
作者单位:1. 中南大学,信息科学与工程学院,长沙,410083;株洲工学院,电气工程系,湖南,株洲,412008
2. 中南大学,信息科学与工程学院,长沙,410083
基金项目:国家自然科学基金项目(50275150).
摘    要:在一种使用单基因变异、精英繁殖、递减型策略参数的改进进化策略基础上,提出了一种求解多模态函数多个极值点的多种群协同进化策略,并给出了子种群进化概率、停止条件的确定和收敛到极值点的判断条件,在求多极值点的进化算法中,判别两个极值点是同峰还是异峰极值点是一个困难而关键的问题,为此引入了一种新的判别方法——山谷探索法,从而避免了确定小生境单径或峰半径,一组测试函数的仿真计算结果表明了所提出的算法能准确地找到全部极值点.

关 键 词:进化策略  多模态函数优化  多种群  收敛性  极值点
文章编号:1001-0920(2006)03-0285-04
收稿时间:2005-01-26
修稿时间:2005-04-19

Multi-population Evolution Strategies for Multi-modal Function Optimization
WANG Xiang-zhong,YU Shou-yi.Multi-population Evolution Strategies for Multi-modal Function Optimization[J].Control and Decision,2006,21(3):285-288.
Authors:WANG Xiang-zhong  YU Shou-yi
Affiliation:1. College of Information Science and Engineering, Central South University, Changsha 410083, China; 2, Department of Electrical Engineering, Zhuzhou Institute of Technology, Zhuzhou 412008, China.
Abstract:Based on improved evolution strategies with single-gene mutation, elitist reproduction, and descending strategy parameters, a cooperating multi-population evolution strategy is proposed for the optimization of multi-modal function. The subpopulation's probability of evolution, stopping condition, and criterion of convergence to local optima are presented. A new method named as valley searching to distinguish between same-peak optima and different-peak ones is proposed, and determining the radius of niche or peak is avoided which has been a hard problem for fitness sharing genetic algorithms. Simulation results on a set of benchmark functions show that the algorithm can properly find all the optima.
Keywords:Evolution strategies  Multi-modal function optimization  Multi-population  Convergence  Optima
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