全局优化的一类新的填充函数

J4 ›› 2010, Vol. 48 ›› Issue (03): 361-366.

全局优化的一类新的填充函数

姜志侠¹, 张珊^1,2, 李延忠¹

1. 长春理工大学理学院应用数学系, 长春 130022|2. 长春工业大学基础科学学院, 长春 130012

收稿日期:2009-09-08 出版日期:2010-05-26 发布日期:2010-05-19
通讯作者: 姜志侠 E-mail:zhixia_jiang@126.com

A Class of New Filled Functions for Global Optimization

JIANG Zhixia¹, ZHANG Shan^1,2| LI Yan zhong¹

1. Department of Applied Mathematics, College of Science, Changchun University of Science and Technology, Changchun 130022, China; 2. College of Basic Science, Changchun University of Technology, Changchun 130012, China

Received:2009-09-08 Online:2010-05-26 Published:2010-05-19
Contact: JIANG Zhixia E-mail:zhixia_jiang@126.com

摘要/Abstract

摘要：

使用填充函数法求解无约束问题的全局极小点, 用较一般的连续可微导数大于零的函数组合得到了一类新的填充函数, 并给出了相应的收敛性证明及满足此条件的一些特殊函数. 算例结果表明, 使用新填充函数更有效.

关键词: 填充函数, 全局优化, 盆地

Abstract:

We used filled function method to solve unconstrained problems and got the global minimum points. A class of new filled functions was obtained by means of the combination of the continuously differentiable functions whose derivatives are larger than 0. We gave corresponding convergence proofs and some special functions satisfying the conditions. Four examples show that it is more efficient to use this class of filled function to solve the problems.

Key words: filled function, global programming, basin

中图分类号:

O221.2

姜志侠, 张珊, 李延忠. 全局优化的一类新的填充函数[J]. J4, 2010, 48(03): 361-366.

JIANG Zhi-Xia, ZHANG Shan, LI Yan-Zhong. A Class of New Filled Functions for Global Optimization[J]. J4, 2010, 48(03): 361-366.

[1]	柯贤斌, 刘红卫, 游海龙. 基于梯度法的高效全局优化算法[J]. 吉林大学学报(理学版), 2016, 54(01): 40-44.
[2]	徐俊彦, 高莹莹, 苗壮, 刘庆怀. 求解二次双层规划问题的全局最优解[J]. 吉林大学学报(理学版), 2014, 52(05): 937-942.
[3]	徐俊彦, 苗壮, 刘庆怀. 求解一般D.C.规划的全局最优解[J]. 吉林大学学报(理学版), 2013, 51(06): 1058-1062.
[4]	马明娟, 梁心, 黄庆道. 全局优化的非单调谱共轭梯度算法[J]. J4, 2011, 49(03): 475-477.
[5]	姜志侠,, 花秋玲. 求解全局优化问题的填充函数法[J]. J4, 2007, 45(05): 733-737.