A constraint function method for solving multiobjective optimization problems

被引:0
|
作者
Lu Baiquan [1 ]
Gao Gaiqin [1 ]
Wang Fei [1 ]
Wang Jin [1 ]
Li Jin [1 ]
机构
[1] Shanghai Univ, Coll Mechatron Engn & Automat, Shanghai 200041, Peoples R China
关键词
D O I
10.1109/GCIS.2009.215
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, a new method for solving the multiobjective optimization problems is proposed, which changes the multiobjective optimization problems to problems of solving nonlinear equations that can be solved by the methods of solving nonlinear equations such as reference [7]. Because usually there are much pareto optimal solution for multiobjective optimization problems. Some constraints on an objective function can be used as a prior information to constrain this equations in order to get distribution of pareto optimal solutions of this nonlinear equations, and some pareto optimal solutions are got by the method given in this paper. To show effectiveness of this method, the simulations of some examples are carried out by the proposed method. As a result, this indicates that the proposed method is very useful.
引用
收藏
页码:224 / 228
页数:5
相关论文
共 50 条
  • [1] Solving Multiobjective Optimization Problem by Constraint Optimization
    Jiang, He
    Zhang, Shuyan
    Ren, Zhilei
    [J]. PARALLEL PROBLEMS SOLVING FROM NATURE - PPSN XI, PT I, 2010, 6238 : 637 - +
  • [2] A relaxed projection method for solving multiobjective optimization problems
    Brito, A. S.
    Cruz Neto, J. X.
    Santos, P. S. M.
    Souza, S. S.
    [J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2017, 256 (01) : 17 - 23
  • [3] Solving hard multiobjective optimization problems using ε-constraint with cultured differential evolution
    Landa Becerra, Ricardo
    Coello Coello, Carlos A.
    [J]. PARALLEL PROBLEM SOLVING FROM NATURE - PPSN IX, PROCEEDINGS, 2006, 4193 : 543 - 552
  • [4] Generalized Equivalence Set Method for Solving Multiobjective Optimization Problems
    Khachaturov, R. V.
    [J]. JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL, 2019, 58 (06) : 922 - 931
  • [5] Extension of Zoutendijk method for solving constrained multiobjective optimization problems
    Morovati, Vahid
    Pourkarimi, Latif
    [J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2019, 273 (01) : 44 - 57
  • [6] Generalized Equivalence Set Method for Solving Multiobjective Optimization Problems
    R. V. Khachaturov
    [J]. Journal of Computer and Systems Sciences International, 2019, 58 : 922 - 931
  • [7] On Abadie constraint qualification for multiobjective optimization problems
    Alavi Hejazi M.
    Nobakhtian S.
    [J]. Rendiconti del Circolo Matematico di Palermo Series 2, 2018, 67 (3): : 453 - 464
  • [8] A logarithmic barrier function method for solving nonlinear multiobjective programming problems
    Tlas, M
    Ghani, BA
    [J]. CONTROL AND CYBERNETICS, 2005, 34 (02): : 487 - 504
  • [9] Multiobjective optimization with ∈-constrained method for solving real-parameter constrained optimization problems
    Ji, Jing-Yu
    Yu, Wei-Jie
    Gong, Yue-Jiao
    Zhang, Jun
    [J]. INFORMATION SCIENCES, 2018, 467 : 15 - 34
  • [10] Differential evolution for solving multiobjective optimization problems
    Sarker, R
    Abbass, HA
    [J]. ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH, 2004, 21 (02) : 225 - 240