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
来源：
ENGINEERING LETTERS | 2021年 / 29卷 / 01期
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
  • [21] A NOVEL FILLED FUNCTION METHOD FOR GLOBAL OPTIMIZATION
    Lin, Youjiang
    Yang, Yongjian
    Zhang, Liansheng
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2010, 47 (06) : 1253 - 1267
  • [22] A new filled function method for global optimization
    Gao, Yuelin
    Yang, Yongjian
    You, Mi
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 268 : 685 - 695
  • [23] A ONE-PARAMETER FILLED FUNCTION FOR NONSMOOTH GLOBAL OPTIMIZATION AND ITS APPLICATION
    Zhang, Ying
    Zhang, Liansheng
    Xu, Yingtao
    JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2010, 23 (06) : 1195 - 1209
  • [24] A one-parameter filled function for nonsmooth global optimization and its application
    Ying Zhang
    Liansheng Zhang
    Yingtao Xu
    Journal of Systems Science and Complexity, 2010, 23 : 1195 - 1209
  • [25] A filled function method with one parameter for unconstrained global optimization
    Lin, Hongwei
    Wang, Yuping
    Fan, Lei
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (07) : 3776 - 3785
  • [26] 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
  • [27] The impelling function method applied to global optimization
    Liu, M
    APPLIED MATHEMATICS AND COMPUTATION, 2004, 151 (03) : 745 - 754
  • [28] A continuously differentiable filled function method for global optimization
    Lin, Hongwei
    Gao, Yuelin
    Wang, Yuping
    NUMERICAL ALGORITHMS, 2014, 66 (03) : 511 - 523
  • [29] A New Parameterless Filled Function Method for Global Optimization
    Liu, Haiyan
    Xue, Siyan
    Cheng, Yuan
    Tuo, Shouheng
    AXIOMS, 2022, 11 (12)
  • [30] A New Filled Function for Global Optimization
    Sahiner, Ahmet
    Ermis, Temel
    Awan, Muhammad Wasim
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2023, 31 (03): : 207 - 220
12345