Explicit gradient information in multiobjective optimization

被引:8
|
作者
Garcia-Palomares, Ubaldo M. [1 ,2 ]
Burguillo-Rial, Juan C. [1 ]
Gonzalez-Castano, Francisco J. [1 ]
机构
[1] Univ Vigo, Dept Ingn Telemat, Vigo 36310, Spain
[2] Univ Simon Bolivar, Dept Proc & Sistemas, Caracas 89000, Venezuela
关键词
Multiobjective optimization; Pareto solution; Necessary optimality conditions;
D O I
10.1016/j.orl.2008.07.010
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
This work presents an algorithm that converges to points that satisfy a first-order necessary condition of weakly Pareto solutions of multiobjective optimization problems. Hints on how to include second-order information are given. Preliminary numerical results are encouraging. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码:722 / 725
页数:4
相关论文
共 50 条
  • [31] CONVERGENCE ANALYSIS OF A PROJECTED GRADIENT METHOD FOR MULTIOBJECTIVE OPTIMIZATION PROBLEMS
    Zhao, Xiaopeng
    Sun, Qiaoyue
    Liu, Liya
    Cho, Sun Young
    JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2021, 5 (06): : 929 - 938
  • [32] AN INEXACT NONMONOTONE PROJECTED GRADIENT METHOD FOR CONSTRAINED MULTIOBJECTIVE OPTIMIZATION
    Zhao, Xiaopeng
    Zhang, Huijie
    Yao, Yonghong
    JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2024, 8 (04): : 517 - 531
  • [33] Robust Optimization for Multiobjective Programming Problems with Imprecise Information
    Hassanzadeh, Farhad
    Nemati, Hamid
    Sun, Minghe
    FIRST INTERNATIONAL CONFERENCE ON INFORMATION TECHNOLOGY AND QUANTITATIVE MANAGEMENT, 2013, 17 : 357 - 364
  • [34] Expensive Multiobjective Optimization Based on Information Transfer Surrogate
    Luo, Jianping
    Dong, YongFei
    Zhu, Zexuan
    Cao, Wenming
    Li, Xia
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2023, 53 (03): : 1684 - 1696
  • [35] An Information Theoretic Criterion for Adaptive Multiobjective Memetic Optimization
    Dang, Hieu V.
    Kinsner, Witold
    2016 IEEE 15TH INTERNATIONAL CONFERENCE ON COGNITIVE INFORMATICS & COGNITIVE COMPUTING (ICCI*CC), 2016, : 15 - 28
  • [36] A non-monotone proximal gradient algorithm for solving nonsmooth multiobjective optimization problems with an extending application to robust multiobjective optimization
    Chen, Jiawei
    Liu, Jie
    Qin, Xiaolong
    Yao, Jen-Chih
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2025, 460
  • [37] Effective evolutionary multimodal optimization by multiobjective reformulation without explicit niching/sharing
    Kumar, R
    Rockett, P
    APPLIED COMPUTING, PROCEEDINGS, 2004, 3285 : 1 - 8
  • [38] Significance of Gradient Information in Bayesian Optimization
    Shekhar, Shubhanshu
    Javidi, Tara
    24TH INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE AND STATISTICS (AISTATS), 2021, 130
  • [39] An explicit parameterization for casting constraints in gradient driven topology optimization
    Gersborg, Allan Roulund
    Andreasen, Casper Schousboe
    STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2011, 44 (06) : 875 - 881
  • [40] An explicit parameterization for casting constraints in gradient driven topology optimization
    Allan Roulund Gersborg
    Casper Schousboe Andreasen
    Structural and Multidisciplinary Optimization, 2011, 44 : 875 - 881