Generating ε-efficient solutions in multiobjective programming

被引：56

作者：

Engau, Alexander ^{[1
]}

Wiecek, Margaret M. ^{[1
]}

机构：

[1] Clemson Univ, Dept Math Sci, Clemson, SC 29634 USA

来源：

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH | 2007年 / 177卷 / 03期

关键词：

multiobjective programs; epsilon-efficient solutions; epsilon-Pareto outcomes; epsilon-non-dominated outcomes; scalarizations; epsilon-optimality;

D O I：

10.1016/j.ejor.2005.10.023

中图分类号：

C93 [管理学];

学科分类号：

12 ; 1201 ; 1202 ; 120202 ;

摘要：

Scalarization approaches to purposely generating e-efficient solutions of multiobjective programs are investigated and a generic procedure for computing these solutions is proposed and illustrated with an example. Real-life decision making situations in which the solutions are of significance are described. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：1566 / 1579

页数：14

共 26 条

[11] epsilon-Pareto optimality for nondifferentiable multiobjective programming via penalty function
Liu, JC
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 198 (01) : 248 - 261
[12] EPSILON-SOLUTIONS IN VECTOR MINIMIZATION PROBLEMS
LORIDAN, P
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1984, 43 (02) : 265 - 276
[13] SCALARIZING VECTOR OPTIMIZATION PROBLEMS
PASCOLETTI, A
SERAFINI, P
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1984, 42 (04) : 499 - 524
[14] EPSILON-OPTIMALITY FOR BICRITERIA PROGRAMS AND ITS APPLICATION TO MINIMUM COST FLOWS
RUHE, G
FRUHWIRTH, B
[J]. COMPUTING, 1990, 44 (01) : 21 - 34
[15] STADLER W, 1992, STRUCTURAL OPTIMIZAT, P209
[16] Steuer RE, 1986, WILEY SERIES PROBABI
[17] STABILITY RESULTS FOR APPROXIMATELY EFFICIENT SOLUTIONS
TAMMER, C
[J]. OR SPEKTRUM, 1994, 16 (01) : 47 - 52
[18] Tanaka T., 1996, J MULTICRITERIA DECI, V5, P271, DOI DOI 10.1002/(SICI)1099-1360(199612)5:4<271::AID-MCDA114>3.0.CO
[19] 2-W
[20] VALYI I, 1985, SYSTEMS ANAL SIMULAT, V27, P246

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