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一个全局最优化问题的填充函数
引用本文:王伟祥,尚有林,张连生. 一个全局最优化问题的填充函数[J]. 运筹学学报, 2007, 11(2): 43-50
作者姓名:王伟祥  尚有林  张连生
作者单位:1. 上海大学数学系,上海,200444;上海第二工业大学数学系,上海,201209
2. 同济大学应用数学系,上海,200092;河南科技大学数学系,洛阳,471003
3. 上海大学数学系,上海,200444
基金项目:国家自然科学基金;河南理工大学校科研和教改项目
摘    要:本文给出了一个非线性全局最优化问题的填充函数定义,此定义不同于以前已有的填充函数定义。根据此定义,本文提出了一簇单参数填充函数和相应的填充函数算法.对几个算例的数据测试表明,该填充函数法是可行和有效的.

关 键 词:运筹学  填充函数  全局最优化  局部极小点  全局极小点
修稿时间:2006-03-15

A Filled Function Method for Global Optimization Problem
Wang Weixiang,Shang Youlin,Zhang Liansheng. A Filled Function Method for Global Optimization Problem[J]. OR Transactions, 2007, 11(2): 43-50
Authors:Wang Weixiang  Shang Youlin  Zhang Liansheng
Affiliation:1. Department of Mathematics, Shanghai University, Shanghai, 200444; 2. Department of Mathematics, Shanghai Second Polytechnic University, Shanghai 201209, China;3. Department of Applied Mathematics, Tongji University, Shanghai 200092, China;4. Department of Mathematics, Henan University of Science and Technology, Luoyang 471003, China
Abstract:This paper give a definition of the filled function for nonlinear global optimization problem,this definition is different from the previously ones.A family of filled function with only one parameter which satisfies this definition is presented and a solution algorithm is proposed.Numerical results tested on several problems indicate that the proposed method is applicable and efficient.
Keywords:Operations research  filled function  global optimization  local minimizer  global minimizer
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