A Novel Parameter-Free Filled Function Applied to Global Optimization

被引:0
作者
Pandiya, Ridwan [1 ,2 ]
Salmah [1 ]
Widodo [1 ]
Endrayanto, Irwan [1 ]
机构
[1] Univ Gadjah Mada, Dept Math, Yogyakarta 55281, Indonesia
[2] Inst Teknol Telkom Purwokerto, Dept Informat, Purwokerto, Indonesia
关键词
Global optimization; filled function method; nonlinear programming; global minimizer; auxiliary function approach; MINIMIZER;
D O I
暂无
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this paper, we mainly propose a new parameter-free filled function, which derives from two inverse trigonometric functions. First, we accomplish the analytical studies, to prove that filled function proposed in this paper possess all the properties of filled function. Secondly, based on this parameter-free filled function, a comparatively new algorithm was built. Finally, we implemented the algorithm to solve unconstrained global optimization problems. The computational results demonstrated in this paper revealed the effectiveness of the proposed filled function compared to some related results of the filled functions in the literature.
引用
收藏
页码:191 / 200
页数:10
相关论文
共 50 条
  • [41] A new filled function for unconstrained global optimization
    Wang, XL
    Zhou, GB
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2006, 174 (01) : 419 - 429
  • [42] 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
  • [43] 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
  • [44] A new parameter-free continuously differentiable filled function algorithm for solving nonlinear equations and data fitting problems
    Shang, Youlin
    Qu, Deqiang
    Li, Junxiang
    Zhang, Roxin
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2025, 454
  • [45] A One-parameter Filled Function Method Applied to Nonlinear Equations
    Wang, Weixiang
    Shang, Youlin
    Zhang, Ying
    [J]. 2014 SEVENTH INTERNATIONAL JOINT CONFERENCE ON COMPUTATIONAL SCIENCES AND OPTIMIZATION (CSO), 2014, : 271 - 274
  • [46] 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
  • [47] A Filled Function with Adjustable Parameters for Unconstrained Global Optimization
    SHANG You-lin
    Department of Mathematics
    [J]. 数学季刊, 2004, (03) : 232 - 239
  • [48] 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
  • [49] 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
  • [50] 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