求无约束连续全局优化问题的单参数填充函数法  

A One-parameter Filled Function Method for Unconstrained Global Optimization Problems with Continuous Variables

作　　者：吴波 高岳林[2] Wu Bo Gao Yuelin(School of Mathematics and Statics, Ningxia University, Yinchuan 750021, China Research Institute of Information and System Computation Science, Beifang University of Nationalities, Yinchuan 750021, China)

机构地区：[1]宁夏大学数学统计学院,宁夏银川750021 [2]北方民族大学信息与系统科学研究所,宁夏银川750021

出　　处：《宁夏大学学报（自然科学版）》2017年第3期221-223,共3页Journal of Ningxia University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11161001;61561001);北方民族大学重点科研项目(2015KJ10)

摘　　要：填充函数法是一种求解多维多模态函数全局极小点的有效方法.由于已有填充函数存在指数项和较多参数而导致数值实验效果不理想.为此,提出了一个新的单参数填充函数,该函数形式简单且满足定义中的所有条件.基于此填充函数设计了相应的算法,数值实验表明该算法有效可行.The filled function method is an effective approach to find the global minimize of multidimensional multimodal functions.The existing filled functions are numerically unstable due to exponential and sensitive to parameters.In this paper,a new filled function with only one parameter is proposed,which is simple and proved to satisfy all conditions of the filled function definition.Corresponding algorithm is designed based on the filled function.Numerical experiments show that the algorithm is efficient and effective.

关 键 词：填充函数法 多维多模态函数 单参数 

分 类 号：O221.2[理学—运筹学与控制论]