A new filled function method for global optimization

被引:25
|
作者
Gao, Yuelin [2 ]
Yang, Yongjian [1 ,2 ]
You, Mi [1 ]
机构
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[2] Beifang Univ Nut iouaIiLies, Inst Informat & Syst Sci, Yinchuan 750021, Ningxia, Peoples R China
基金
中国国家自然科学基金;
关键词
Filled function method; Unconstrained global optimization; Global minimizer; Local minimizer; MINIMIZER; ALGORITHM;
D O I
10.1016/j.amc.2015.06.090
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A new definition of the filled function is presented in this paper. Based on the definition, a new filled function is presented, and a global optimization algorithm is developed. The implementation of the algorithm on several test problems is reported with satisfactory numerical results. The numerical experiments further show that the algorithm may solve higher dimensional global optimization problems. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码:685 / 695
页数:11
相关论文
共 50 条
  • [1] A New Filled Function Method for Global Optimization
    Yang, Yongjian
    Ga, Yuelin
    [J]. 2015 IEEE INTERNATIONAL CONFERENCE ON DIGITAL SIGNAL PROCESSING (DSP), 2015, : 54 - 58
  • [2] A new filled function method for global optimization
    Zhang, LS
    Ng, CK
    Li, DA
    Tian, WW
    [J]. JOURNAL OF GLOBAL OPTIMIZATION, 2004, 28 (01) : 17 - 43
  • [3] A New Filled Function Method for Global Optimization
    Lian-Sheng Zhang
    Chi-Kong Ng
    Duan Li
    Wei-Wen Tian
    [J]. Journal of Global Optimization, 2004, 28 : 17 - 43
  • [4] A new filled function method for unconstrained global optimization
    Wang, Chengjun
    Yang, Yongjian
    Li, Jing
    [J]. 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
    [J]. 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
    [J]. AXIOMS, 2022, 11 (12)
  • [7] A new filled function method with unconstrained global optimization
    Yang, Xiaolin
    Zhou, Bin
    Feng, Jun
    [J]. 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
    [J]. 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
    [J]. PACIFIC JOURNAL OF OPTIMIZATION, 2019, 15 (01): : 23 - 44
  • [10] A filled function method for global optimization
    Liang, Y. M.
    Zhang, L. S.
    Li, M. M.
    Han, B. S.
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 205 (01) : 16 - 31