Modified integral-level set method for the constrained solving global optimization

被引:0
|
作者
Tian, WW [1 ]
Wu, DH
Zhang, LS
Li, SL
机构
[1] Shanghai Univ, Sch Sci, Dept Math, Shanghai 200436, Peoples R China
[2] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
[3] Fudan Univ, Sch Management, Shanghai 200433, Peoples R China
基金
中国国家自然科学基金;
关键词
constrained global optimization; integral-level set; convergence;
D O I
10.1007/bf02437321
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The constrained global optimization problem being considered, a modified integral-level set method was illustrated based on Chew-Zheng's paper on Integral Global Optimization and Wu's paper on Implementable Algorithm Convergence of Modified Integral-Level Set Method for Global Optimization Problem. It has two characters: 1) Each phase must construct a new function which has the same global optimal value as that of primitive objective function; 2) Comparing it with Zheng's method, solving level set procedure is avoided. An implementable algorithm also is given and it is proved that this algorithm is convergent.
引用
收藏
页码:202 / 209
页数:8
相关论文
共 40 条
  • [11] An electromagnetism-like method for nonlinearly constrained global optimization
    Ali, M. M.
    Golalikhani, M.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 60 (08) : 2279 - 2285
  • [12] Filter-based DIRECT method for constrained global optimization
    Costa, M. Fernanda P.
    Rocha, Ana Maria A. C.
    Fernandes, Edite M. G. P.
    JOURNAL OF GLOBAL OPTIMIZATION, 2018, 71 (03) : 517 - 536
  • [13] Value-estimation function method for constrained global optimization
    Sun, XL
    Li, D
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1999, 102 (02) : 385 - 409
  • [14] A MODIFIED NELDER-MEAD BARRIER METHOD FOR CONSTRAINED OPTIMIZATION
    Price, C. J.
    NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, 2021, 11 (04): : 613 - 631
  • [15] Global convergence of a modified gradient projection method for convex constrained problems
    Sun Q.-Y.
    Wang C.-Y.
    Shi Z.-J.
    Acta Mathematicae Applicatae Sinica, 2006, 22 (2) : 227 - 242
  • [16] Modified homotopy perturbation method for solving hypersingular integral equations of the first kind
    Eshkuvatov, Z. K.
    Zulkarnain, F. S.
    Long, N. M. A. Nik
    Muminov, Z.
    SPRINGERPLUS, 2016, 5
  • [17] Global Convergence of a Modified Gradient Projection Method for Convex Constrained Problems
    Qing-ying Sun~1 Chang-yu Wang~2 Zhen-jun Shi~21 School of Mathematics and Computational Sciences
    Acta Mathematicae Applicatae Sinica(English Series), 2006, (02) : 227 - 242
  • [18] Integrated Real-Coded Genetic Algorithm and Particle Swarm Optimization for Solving Constrained Global Optimization Problems
    Wu, Jui-Yu
    ADVANCES IN INFORMATION TECHNOLOGY AND EDUCATION, PT I, 2011, 201 : 511 - 522
  • [19] A global error bound via the SQP method for constrained optimization problem
    Zhao, Wen-Ling
    Song, Dao-Jin
    JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2007, 3 (04) : 775 - 781
  • [20] Combining Filter Method and Dynamically Dimensioned Search for Constrained Global Optimization
    Macedo, M. Joseane F. G.
    Costa, M. Fernanda P.
    Rocha, Ana Maria A. C.
    Karas, Elizabeth W.
    COMPUTATIONAL SCIENCE AND ITS APPLICATIONS - ICCSA 2017, PT III, 2017, 10406 : 119 - 134