Novel Global Optimization Algorithm with a Space-Filling Curve and Integral Function

被引：3
|
作者：
Wang Zhong-Yu [1 ]
Yang Yong-Jian [1 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
来源：
JOURNAL OF THE OPERATIONS RESEARCH SOCIETY OF CHINA | 2021年 / 9卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Global optimization algorithm; Integral function; Space-filling curve; Filled function; FILLED FUNCTION-METHOD; MINIMIZATION;
D O I：
10.1007/s40305-020-00294-w
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 this study, we consider the global optimization problem in a hypercube. We use a class of series to construct a curve in a hypercube, which can fill the hypercube, and we present an integral function on the curve. Based on the integral function, we propose an algorithm for solving the global optimization problem. Then, we perform a convergence analysis and numerical experiments to demonstrate the effectiveness of the proposed algorithm.
引用
收藏
页码：619 / 640
页数：22
相关论文
共 48 条
  • [41] An Adaptive Space-Filling Curve Trajectory for Ordering 3D Datasets to 1D: Application to Brain Magnetic Resonance Imaging Data for Classification
    Sakoglu, Unal
    Bhupati, Lohit
    Beheshti, Nazanin
    Tsekos, Nikolaos
    Johnsson, Lennart
    COMPUTATIONAL SCIENCE - ICCS 2020, PT III, 2020, 12139 : 635 - 646
  • [42] Polynomial-Filled Function Algorithm for Unconstrained Global Optimization Problems
    Salmah
    Pandiya, Ridwan
    KYUNGPOOK MATHEMATICAL JOURNAL, 2024, 64 (01): : 95 - 111
  • [43] A new discrete filled function algorithm for discrete-global optimization
    Yang Yongjian
    Liang Yumei
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 202 (02) : 280 - 291
  • [44] A Novel Filled Function Method and Quasi-Filled Function Method for Global Optimization
    Z. Y. Wu
    H. W. J. Lee
    L. S. Zhang
    X. M. Yang
    Computational Optimization and Applications, 2006, 34 : 249 - 272
  • [45] A novel filled function method and quasi-filled function method for global optimization
    Wu, Z. Y.
    Lee, H. W. J.
    Zhang, L. S.
    Yang, X. M.
    COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2006, 34 (02) : 249 - 272
  • [46] A Novel Parameter-Free Filled Function Applied to Global Optimization
    Pandiya, Ridwan
    Salmah
    Widodo
    Endrayanto, Irwan
    ENGINEERING LETTERS, 2021, 29 (01) : 191 - 200
  • [47] A Novel Filled Function Approach for Non-Smooth Global Optimization Problem
    Wang, W. X.
    Shang, Y. L.
    PROCEEDINGS OF THE 2015 INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE AND INDUSTRIAL ENGINEERING (AIIE 2015), 2015, 123 : 445 - 448
  • [48] A novel single-parameter continuously differentiable filled function for global optimization
    Xu, Yan
    Qu, Deqiang
    OPTIMIZATION, 2024,
12345