Finding global minimizer with one-parameter filled function on unconstrained global optimization

被引:37
|
作者
Shang, You-lin [1 ,2 ]
Pu, Ding-guo [2 ]
Jiang, Ai-ping [2 ]
机构
[1] Henan Univ Sci & Technol, Dept Math, Luoyang 471003, Peoples R China
[2] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China
基金
中国国家自然科学基金;
关键词
filled function; unconstrained global optimization; local minimizer; global minimizer;
D O I
10.1016/j.amc.2007.02.074
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, a filled function with one-parameter is proposed for solving unconstrained global optimization problems. This filled function is modified from the previously reported one (see paper [Y.J. Yang, Y.L. Shang, A new filled function method for unconstrained global optimization, Applied Mathematics and Computations 173 (1) (2006) 501-512]). The properties of the filled function are discussed in this paper. An algorithm for unconstrained global optimization is developed from this new filled function. The computational results show that this algorithm is efficient and reliable. (c) 2007 Published by Elsevier Inc.
引用
收藏
页码:176 / 182
页数:7
相关论文
共 50 条
  • [1] Finding global minimizer with a new filled function for unconstrained global optimization
    Shang, You-lin
    Zhang, Lian-sheng
    Yang, Yong-jian
    Li, Ming-ming
    [J]. PROCEEDINGS OF THE SIXTH INTERNATIONAL CONFERENCE ON INFORMATION AND MANAGEMENT SCIENCES, 2007, 6 : 839 - 844
  • [2] A filled function method for finding a global minimizer on global integer optimization
    Shang, YL
    Zhang, LS
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 181 (01) : 200 - 210
  • [3] A filled function method with one parameter for unconstrained global optimization
    Lin, Hongwei
    Wang, Yuping
    Fan, Lei
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (07) : 3776 - 3785
  • [4] A ONE-PARAMETER FILLED FUNCTION FOR NONSMOOTH GLOBAL OPTIMIZATION AND ITS APPLICATION
    Zhang, Ying
    Zhang, Liansheng
    Xu, Yingtao
    [J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2010, 23 (06) : 1195 - 1209
  • [5] A one-parameter filled function for nonsmooth global optimization and its application
    Ying Zhang
    Liansheng Zhang
    Yingtao Xu
    [J]. Journal of Systems Science and Complexity, 2010, 23 : 1195 - 1209
  • [6] A New Single-Parameter Filled Function for Finding Global Minimizer
    Lu, Z. J.
    Tian, Z. Y.
    Liu, Q. Y.
    Li, X. H.
    [J]. MANUFACTURING, DESIGN SCIENCE AND INFORMATION ENGINEERING, VOLS I AND II, 2015, : 1453 - 1459
  • [7] A parameter free filled function for unconstrained global optimization
    Ma, Suzhen
    Yang, Yongjian
    Liu, Huaqun
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 215 (10) : 3610 - 3619
  • [8] A one-parameter filled function method applied to nonsmooth constrained global optimization
    Zhang, Ying
    Xu, Ying-Tao
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (06) : 1230 - 1238
  • [9] Modified T-F Function Method for Finding Global Minimizer on Unconstrained Optimization
    Shang, Youlin
    Wang, Weixiang
    Zhang, Liansheng
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2010, 2010
  • [10] A Parameter-Free Filled Function for Unconstrained Global Optimization
    安澜
    张连生
    陈美霖
    [J]. Advances in Manufacturing, 2004, (02) : 117 - 123