A new filled function method for global optimization

被引:189
|
作者
Zhang, LS
Ng, CK
Li, DA [1 ]
Tian, WW
机构
[1] Chinese Univ Hong Kong, Dept Syst Engn & Engn Management, Shatin, Hong Kong, Peoples R China
[2] Shanghai Univ, Dept Math, Shanghai, Peoples R China
基金
中国国家自然科学基金;
关键词
mathematical programming; global optimization; nonconvex optimization; filled function method;
D O I
10.1023/B:JOGO.0000006653.60256.f6
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
A novel filled function is suggested in this paper for identifying a global minimum point for a general class of nonlinear programming problems with a closed bounded domain. Theoretical and numerical properties of the proposed filled function are investigated and a solution algorithm is proposed. The implementation of the algorithm on several test problems is reported with satisfactory numerical results.
引用
收藏
页码:17 / 43
页数:27
相关论文
共 50 条
  • [1] A new filled function method for global optimization
    Gao, Yuelin
    Yang, Yongjian
    You, Mi
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 268 : 685 - 695
  • [2] A New Filled Function Method for Global Optimization
    Yang, Yongjian
    Ga, Yuelin
    2015 IEEE INTERNATIONAL CONFERENCE ON DIGITAL SIGNAL PROCESSING (DSP), 2015, : 54 - 58
  • [3] 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
  • [4] 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
  • [5] A new filled function method for unconstrained global optimization
    Liu, Haiyan
    Wang, Yuping
    Guan, Shiwei
    Liu, Xuyan
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2017, 94 (12) : 2283 - 2296
  • [6] A New Parameterless Filled Function Method for Global Optimization
    Liu, Haiyan
    Xue, Siyan
    Cheng, Yuan
    Tuo, Shouheng
    AXIOMS, 2022, 11 (12)
  • [7] A new filled function method with unconstrained global optimization
    Yang, Xiaolin
    Zhou, Bin
    Feng, Jun
    2017 13TH INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE AND SECURITY (CIS), 2017, : 512 - 515
  • [8] A new filled function method for unconstrained global optimization
    Yang, YJ
    Shang, YL
    APPLIED MATHEMATICS AND COMPUTATION, 2006, 173 (01) : 501 - 512
  • [9] A NEW FILLED FUNCTION METHOD COMBINING AUXILIARY FUNCTION FOR GLOBAL OPTIMIZATION
    Sui, Xin
    Wang, Yuping
    Liu, Junhua
    PACIFIC JOURNAL OF OPTIMIZATION, 2019, 15 (01): : 23 - 44
  • [10] A New Filled Function Method with One Parameter for Global Optimization
    Wei, Fei
    Wang, Yuping
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013