Implementation of polynomial multi-objective optimization in Mathematica

被引:7
|
作者
Stanimirovic, Predrag [1 ]
Stanimirovic, Ivan [1 ]
机构
[1] Univ Nis, Dept Math, Fac Sci, Nish 18000, Serbia
关键词
multiple-objective programming; weighting coefficients; prioritizing methods; goal programming; MATHEMATICA;
D O I
10.1007/s00158-007-0180-9
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We describe implementation of main methods for solving polynomial multi-objective optimization problems by means of symbolic processing available in the programming language MATHEMATICA. Symbolic transformations of unevaluated expressions, representing objective functions and constraints, into the corresponding representation of the single-objective constrained problem are especially emphasized. We also describe a function for the verification of Pareto optimality conditions and a function for graphical illustration of Pareto optimal points and given constraint set.
引用
收藏
页码:411 / 428
页数:18
相关论文
共 50 条
  • [1] Implementation of polynomial multi-objective optimization in Mathematica
    Predrag Stanimirović
    Ivan Stanimirović
    [J]. Structural and Multidisciplinary Optimization, 2008, 36
  • [2] The Multi-Objective Polynomial Optimization
    Nie, Jiawang
    Yang, Zi
    [J]. MATHEMATICS OF OPERATIONS RESEARCH, 2024,
  • [3] Fuzzy multi-objective optimization modeling with Mathematica
    Keller, Andre A.
    [J]. FS'09: PROCEEDINGS OF THE 10TH WSEAS INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, 2009, : 104 - 109
  • [4] Multi-objective convex polynomial optimization and semidefinite programming relaxations
    Jae Hyoung Lee
    Nithirat Sisarat
    Liguo Jiao
    [J]. Journal of Global Optimization, 2021, 80 : 117 - 138
  • [6] Multi-objective convex polynomial optimization and semidefinite programming relaxations
    Lee, Jae Hyoung
    Sisarat, Nithirat
    Jiao, Liguo
    [J]. JOURNAL OF GLOBAL OPTIMIZATION, 2021, 80 (01) : 117 - 138
  • [7] SNO Multi-Objective implementation for Sparse Array Optimization
    Grimaccia, Francesco
    Mussetta, Marco
    Niccolai, Alessandro
    Pirinoli, Paola
    Zich, Riccardo E.
    [J]. 2017 INTERNATIONAL CONFERENCE ON ELECTROMAGNETICS IN ADVANCED APPLICATIONS (ICEAA), 2017, : 824 - 827
  • [8] Implementation and applications of a constrained multi-objective optimization method
    Zadeh, HS
    [J]. FUZZY SETS AND SYSTEMS - IFSA 2003, PROCEEDINGS, 2003, 2715 : 483 - 491
  • [9] Implementation of scatter search for multi-objective optimization: a comparative study
    Banos, R.
    Gil, C.
    Reca, J.
    Martinez, J.
    [J]. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2009, 42 (03) : 421 - 441
  • [10] Implementation of scatter search for multi-objective optimization: a comparative study
    R. Baños
    C. Gil
    J. Reca
    J. Martínez
    [J]. Computational Optimization and Applications, 2009, 42 : 421 - 441