A filled function method for constrained global optimization

被引:0
|
作者
Z. Y. Wu
F. S. Bai
H. W. J. Lee
Y. J. Yang
机构
[1] Chongqing Normal University,School of Mathematics and Computer Science
[2] The Hong Kong Polytechnic University,Department of Applied Mathematics
[3] Shanghai University,Department of Mathematics
[4] University of Ballarat,School of Information Technology and Mathematical Sciences
来源
Journal of Global Optimization | 2007年 / 39卷
关键词
Filled function; Filled function method; Constrained global optimization;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, a filled function method for solving constrained global optimization problems is proposed. A filled function is proposed for escaping the current local minimizer of a constrained global optimization problem by combining the idea of filled function in unconstrained global optimization and the idea of penalty function in constrained optimization. Then a filled function method for obtaining a global minimizer or an approximate global minimizer of the constrained global optimization problem is presented. Some numerical results demonstrate the efficiency of this global optimization method for solving constrained global optimization problems.
引用
收藏
页码:495 / 507
页数:12
相关论文
共 50 条
  • [21] A New Filled Function Method for Global Optimization
    Lian-Sheng Zhang
    Chi-Kong Ng
    Duan Li
    Wei-Wen Tian
    Journal of Global Optimization, 2004, 28 : 17 - 43
  • [22] A novel filled function method and quasi-filled function method for global optimization
    Wu, Z. Y.
    Lee, H. W. J.
    Zhang, L. S.
    Yang, X. M.
    COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2006, 34 (02) : 249 - 272
  • [23] A Generalized Filled Function for Non-Smooth Constrained Global Optimization
    Wang, Weixiang
    Shang, Youlin
    Zhang, Liansheng
    ADVANCED RESEARCH ON INDUSTRY, INFORMATION SYSTEMS AND MATERIAL ENGINEERING, PTS 1-7, 2011, 204-210 : 114 - +
  • [24] A FILLED PENALTY FUNCTION METHOD FOR SOLVING CONSTRAINED OPTIMIZATION PROBLEMS
    Tang, Jiahui
    Xu, Yifan
    Wang, Wei
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2023, 13 (02): : 809 - 825
  • [25] A novel filled function method for solving constrained optimization problems
    Li, Qing
    Yuan, Liu-yang
    PROCEEDINGS OF 2020 IEEE 4TH INFORMATION TECHNOLOGY, NETWORKING, ELECTRONIC AND AUTOMATION CONTROL CONFERENCE (ITNEC 2020), 2020, : 2221 - 2225
  • [26] A PARAMETER FREE FILLED FUNCTION METHOD FOR GLOBAL OPTIMIZATION
    Liu, Haiyan
    Wang, Yuping
    Gao, Xiao-Zhi
    Dang, Chuangyin
    Meng, Zhiqing
    PACIFIC JOURNAL OF OPTIMIZATION, 2018, 14 (04): : 567 - 580
  • [27] A filled function method for global optimization with inequality constraints
    Hongwei Lin
    Yuping Wang
    Yuelin Gao
    Xiaoli Wang
    Computational and Applied Mathematics, 2018, 37 : 1524 - 1536
  • [28] A new filled function method for unconstrained global optimization
    Wang, Chengjun
    Yang, Yongjian
    Li, Jing
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 225 (01) : 68 - 79
  • [29] Discrete Filled Function Method for Discrete Global Optimization
    Chi-Kong Ng
    Lian-Sheng Zhang
    Duan Li
    Wei-Wen Tian
    Computational Optimization and Applications, 2005, 31 : 87 - 115
  • [30] A continuously differentiable filled function method for global optimization
    Lin, Hongwei
    Gao, Yuelin
    Wang, Yuping
    NUMERICAL ALGORITHMS, 2014, 66 (03) : 511 - 523