Quantitative parametric connections between methods for generating noninferior solutions in multiobjective optimization

被引:27
作者
Li, D [1 ]
Yang, JB
Biswal, MP
机构
[1] Chinese Univ Hong Kong, Dept Syst Engn & Engn Management, Shatin, NT, Peoples R China
[2] Univ Manchester, Inst Sci & Technol, Manchester Sch Management, Manchester M60 1QD, Lancs, England
[3] Indian Inst Technol, Dept Math, Kharagpur 721302, W Bengal, India
关键词
multicriteria analysis; multiobjective optimization; noninferior solution; generating method; weighting method; weighted p-power method; weighted minimax method; epsilon-constraint method; trade-off information;
D O I
10.1016/S0377-2217(98)00018-6
中图分类号
C93 [管理学];
学科分类号
12 [管理学]; 1201 [管理科学与工程]; 1202 [工商管理学]; 120202 [企业管理];
摘要
In multiobjective optimization, the trade-off information between different objective functions is probably the most important piece of information in a solution process to reach the most preferred solution, Generating methods are the methods in generating noninferior solutions. Different generating methods provide decision makers trade-off information in different forms. Various generating methods are characterized in this paper and the quantitative parametric connections between these generating methods are established. The result in this paper is then used to consolidate tradeoff information with different formats associated with different generating methods. (C) 1999 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:84 / 99
页数:16
相关论文
共 18 条
[1]
Outcome-based algorithm for optimizing over the efficient set of a bicriteria linear programming problem [J].
Benson, HP ;
Lee, D .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1996, 88 (01) :77-105
[2]
OPTIMIZATION OVER THE EFFICIENT SET - 4 SPECIAL CASES [J].
BENSON, HP ;
SAYIN, S .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1994, 80 (01) :3-18
[3]
OPTIMIZATION OVER THE EFFICIENT SET [J].
BENSON, HP .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1984, 98 (02) :562-580
[4]
ON THE CHARACTERIZATION OF NONINFERIOR SOLUTIONS OF THE VECTOR OPTIMIZATION PROBLEM [J].
CHANKONG, V ;
HAIMES, YY .
AUTOMATICA, 1982, 18 (06) :697-707
[5]
CHANKONG V, 1983, LARGE SCALE SYST, V5, P1
[6]
Chankong V., 1983, Multiobjective Decision Making: Theory and Methodology
[7]
FINDING ALL EFFICIENT EXTREME POINTS FOR MULTIPLE OBJECTIVE LINEAR PROGRAMS [J].
ECKER, JG ;
KOUADA, IA .
MATHEMATICAL PROGRAMMING, 1978, 14 (02) :249-261
[8]
OPTIMIZING A LINEAR FUNCTION OVER AN EFFICIENT SET [J].
ECKER, JG ;
SONG, JH .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1994, 83 (03) :541-563
[9]
Goicoechea A., 1982, Multiobjective Decision Analysis with Engineering and Business Applications