A Non-Parameter Filled Function Method for Unconstrained Global Optimization Problems

被引：0
|
作者：
Liu, Yingchun [1 ]
Gao, Yuelin [2 ]
Ma, Suxia [1 ]
Guo, Eryang [1 ]
机构：
[1] North Minzu Univ, Sch Math & Informat Sci, Yinchuan 750021, Peoples R China
[2] North Minzu Univ, Ningxia Prov Cooperat Innovat Ctr Sci Comp & Intel, Yinchuan 750021, Peoples R China
来源：
ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH | 2024年 / 41卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Global optimization problems; filled function; deterministic algorithm; ALGORITHM;
D O I：
10.1142/S0217595923500136
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：
In the paper, we give a new non-parameter filled function method for finding global minimizer of global optimization programming problems, the filled function consists of a inverse cosine function and a logarithm function, and without parameter. Its theoretical residences are proved. A new filled function algorithm is given based on the proposed new parameterless filled function, The results of numerical with ten experiments verify the efficient and reliability for the algorithm.
引用
收藏
页数：18
相关论文
共 50 条
  • [41] Global Convergence of Conjugate Gradient Method in Unconstrained Optimization Problems
    Najm, Huda Y.
    Hamed, Eman T.
    Ahmed, Huda I.
    [J]. INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2018), 2019, 2086
  • [42] On the global convergence of the BFGS method or nonconvex unconstrained optimization problems
    Li, DH
    Fukushima, M
    [J]. SIAM JOURNAL ON OPTIMIZATION, 2001, 11 (04) : 1054 - 1064
  • [43] Global Convergence of Conjugate Gradient Method in Unconstrained Optimization Problems
    Najm, Huda Y.
    Hamed, Eman
    Ahmed, Huda, I
    [J]. BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2020, 38 (07): : 227 - 231
  • [44] 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
  • [45] A new filled function method for global optimization
    Gao, Yuelin
    Yang, Yongjian
    You, Mi
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2015, 268 : 685 - 695
  • [46] A filled function method for constrained global optimization
    Wu, Z. Y.
    Bai, F. S.
    Lee, H. W. J.
    Yang, Y. J.
    [J]. JOURNAL OF GLOBAL OPTIMIZATION, 2007, 39 (04) : 495 - 507
  • [47] 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
  • [48] A NOVEL FILLED FUNCTION METHOD FOR GLOBAL OPTIMIZATION
    Lin, Youjiang
    Yang, Yongjian
    Zhang, Liansheng
    [J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2010, 47 (06) : 1253 - 1267
  • [49] 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
  • [50] A filled function method for constrained global optimization
    Z. Y. Wu
    F. S. Bai
    H. W. J. Lee
    Y. J. Yang
    [J]. Journal of Global Optimization, 2007, 39 : 495 - 507
12345