一个全局最优化问题的填充函数(英文)  

A Filled Function Method for Global Optimization Problem

作　　者：王伟祥[1,2] 尚有林[3,4] 张连生[1] 

机构地区：[1]上海大学数学系 [2]上海第二工业大学数学系 [3]同济大学应用数学系,上海200092 [4]河南科技大学数学系

出　　处：《运筹学学报》2007年第2期43-50,共8页Operations Research Transactions

基　　金：The National Natural Science Foundation of China(No.10571137);The Great Natural Science Foundation of Henan University of Science and Technology(2005ZD06).

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．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.

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 

分 类 号：O224[理学—运筹学与控制论]