A note on weighted criteria methods for compromise solutions in multi-objective optimization

被引：178

作者：

Athan, TW ^{[1
]}

Papalambros, PY ^{[1
]}

机构：

[1] UNIV MICHIGAN,DEPT MECH ENGN & APPL MECH,ANN ARBOR,MI 48109

来源：

ENGINEERING OPTIMIZATION | 1996年 / 27卷 / 02期

关键词：

multicriteria; multiobjective; design optimization; non-convex; Pareto solutions;

D O I：

10.1080/03052159608941404

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A common multi-objective optimization approach forms the objective function from linearly weighted criteria. It is known that the method can fail to capture Pareto optimal points in a non-convex attainable region. This note considers generalized weighted criteria methods that retain the advantages of the linear method without suffering from this limitation. Compromise programming and a new method with exponentially weighted criteria are evaluated. Demonstration on design problems is included.

引用

页码：155 / 176

页数：22

共 15 条

[1]

ATHAN TW, 1994, THESIS U MICHIGAN AN

[2]

BAIER HJ, 1982, P EUR C, V164, P140

[3]

Charnes A., 1977, EUR J OPER RES, V1, P39, DOI [10.1016/S0377-2217(77)81007-2, DOI 10.1016/S0377-2217(77)81007-2]

[4] ITERATIVE APPROACH TO GOAL PROGRAMMING [J].

DAUER, JP ;

KRUEGER, RJ .

OPERATIONAL RESEARCH QUARTERLY, 1977, 28 (03) :671-681

[5]

Edgeworth FrancisY., 1881, MATH PSYCHICS

[6] DEFECTIVENESS OF WEIGHTING METHOD IN MULTICRITERION OPTIMIZATION OF STRUCTURES [J].

KOSKI, J .

COMMUNICATIONS IN APPLIED NUMERICAL METHODS, 1985, 1 (06) :333-337

[7] MAXIMAL VECTORS AND MULTI-OBJECTIVE OPTIMIZATION [J].

LIN, JG .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1976, 18 (01) :41-64

[8] CONNECTEDNESS OF SET OF NON-DOMINATED OUTCOMES IN MULTICRITERIA OPTIMIZATION [J].

NACCACHE, PH .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1978, 25 (03) :459-467

[9]

OSYCZKA A, 1984, MULTICRITERIA OPTIMI

[10]

Pareto V., 1971, MANUAL POLITICAL EC

← 1 2 →