用于全局优化的一种有效的单参填充函数  

An Effective Filled Function with One Parameter for Global Optimization

作　　者：王忠[1] 王永军[2] 

机构地区：[1]保定职业技术学院基础部,河北保定071000 [2]西安交通大学理学院信息与系统科学研究所,陕西西安710049

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2006年第3期308-312,共5页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：浙江省教育厅科研计划项目(20040538)

摘　　要：填充函数法是一种求解多变量、多极值函数全局最优的有效方法,但该方法的优化效果与构造的填充函数关系密切.构造了一种形式简单的单参数填充函数,并对其进行理论分析和仿真实验.对6个基准函数的数值实验表明,构造的填充函数对参数依赖性小,全局收敛速度快.The filled function method is an effective approach to find the global minima of multimodal and multidimensional functions, and the constructed filled function is vital to the results of optimization. In this paper,a new filled function with only one parameter was proposed and the theoretical analyses were presented. Numerical experiments on six benchmark problems showed that the constructed filled function makes the algorithm converge more rapidly and rely little on the parameter.

关 键 词：填充函数法 全局优化 非线性优化 数值实验 

分 类 号：O224[理学—运筹学与控制论]