求无约束优化问题的无参数填充函数法

计算机工程与应用 ›› 2014, Vol. 50 ›› Issue (14): 64-67.

求无约束优化问题的无参数填充函数法

王开荣，冉慧

重庆大学数学与统计学院，重庆 401331

出版日期:2014-07-15 发布日期:2014-08-04

Non-parameter filled function for unconstrained optimization problems

WANG Kairong, RAN Hui

College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China

Online:2014-07-15 Published:2014-08-04

摘要/Abstract

摘要： 填充函数作为求解优化问题的有效方法之一，以填充函数的基本思想为基础，构造了新的无参数填充函数，该函数形式简单，便于计算。分析了该函数的相关性质并设计了相应的算法，最后通过数值实验，结果表明提出的算法是可行的、有效的。

关键词: 全局优化问题, 无参数填充函数, 局部极小点

Abstract: Filled function method is one of effective methods for solving optimization problems, according to the basic of the filled function, the paper constructs a new non-parameter filled function, which has simple structure and can calculate easily. With the theoretical nature of the function, the corresponding algorithm is designed in this paper. Numerical experiments show that the algorithm is feasible and effective.

Key words: global optimization problems, non-parameter filled function, local minimum

王开荣，冉慧. 求无约束优化问题的无参数填充函数法[J]. 计算机工程与应用, 2014, 50(14): 64-67.

WANG Kairong, RAN Hui. Non-parameter filled function for unconstrained optimization problems[J]. Computer Engineering and Applications, 2014, 50(14): 64-67.