A new filled function method applied to unconstrained global optimization

被引：26
作者：
El-Gindy, T. M. [1 ]
Salim, M. S. [2 ]
Ahmed, A. I. [2 ]
机构：
[1] Assiut Univ, Fac Sci, Dept Math, Assiut, Egypt
[2] Al Azhar Univ, Dept Math, Fac Sci, Assiut, Egypt
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2016年 / 273卷
关键词：
Filled function; Unconstrained global optimization; Local minimizer; Global minimizer; Nonlinear programming; ONE-PARAMETER; TUNNELING ALGORITHM; MINIMIZER;
D O I：
10.1016/j.amc.2015.08.091
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose a new filled function, and give an efficient criterion to choose its two parameters appropriately. An algorithm for unconstrained global optimization is developed from this new filled function, numerical results with a comparison on many test problems show that this algorithm is efficient and reliable. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：1246 / 1256
页数：11
相关论文
共 28 条
[11]   THE TUNNELING ALGORITHM FOR THE GLOBAL MINIMIZATION OF FUNCTIONS [J].
LEVY, AV ;
MONTALVO, A .
SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1985, 6 (01) :15-29
[12]  
[梁玉梅 Liang Yumei], 2009, [运筹学学报, OR Transactions], V13, P101
[13]   A new discrete filled function method for finding global minimizer of the integer programming [J].
Lin, Hongwei ;
Wang, Yuping ;
Fan, Lei ;
Gao, Yuelin .
APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (09) :4371-4378
[14]   A filled function method with one parameter for unconstrained global optimization [J].
Lin, Hongwei ;
Wang, Yuping ;
Fan, Lei .
APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (07) :3776-3785
[15]   Finding global minima with a computable filled function [J].
Liu, X .
JOURNAL OF GLOBAL OPTIMIZATION, 2001, 19 (02) :151-161
[16]  
Rinnooy Kan A.H.G., 1989, HDB OPERATIONS RES M, P631
[17]   Finding global minimizer with one-parameter filled function on unconstrained global optimization [J].
Shang, You-lin ;
Pu, Ding-guo ;
Jiang, Ai-ping .
APPLIED MATHEMATICS AND COMPUTATION, 2007, 191 (01) :176-182
[18]   A new filled function method for unconstrained global optimization [J].
Wang, Chengjun ;
Yang, Yongjian ;
Li, Jing .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 225 (01) :68-79
[19]   Global minimization of non-smooth unconstrained problems with filled function [J].
Wang, W. X. ;
Shang, Y. L. ;
Zhang, L. S. ;
Zhang, Y. .
OPTIMIZATION LETTERS, 2013, 7 (03) :435-446
[20]  
Wang W.X., 2007, OPER RES T, V11, P43
123