NONSCALARIZED MULTIOBJECTIVE GLOBAL OPTIMIZATION

被引：30

作者：

GALPERIN, EA

机构：

[1] Départment de Mathématiques et d'Informatique, Université du Québec à Montréal, Montréal, Québec

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1992年 / 75卷 / 01期

关键词：

VECTOR OPTIMIZATION; NONSCALARIZED MULTIOBJECTIVE PROGRAMMING;

D O I：

10.1007/BF00939906

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

A new approach to multiobjective optimization is presented which is made possible due to our ability to obtain full global optimal solutions. A distinctive feature of this approach is that a vector cost function is nonscalarized. The method provides a means for the solution of vector optimization problems with nonreconcilable objectives.

引用

页码：69 / 85

页数：17

共 26 条

[1]

[Anonymous], 1980, ANAL HIERARCHY PROCE

[2]

[Anonymous], 1976, DECISIONS MULTIPLE O

[3]

BORM PEH, 1990, METHODS OPERATIONS R, P303

[4]

Cohon J.L., 1978, MULTIOBJECTIVE PROGR

[5]

Galperin E. A., 1990, CUBIC ALGORITHM OPTI

[6] PROPER EFFICIENCY AND THEORY OF VECTOR MAXIMIZATION [J].

GEOFFRION, AM .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1968, 22 (03) :618-+

[7] CONE-EFFICIENCY, CONE-CONVEXITY AND CONE-COMPACTNESS [J].

HARTLEY, R .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1978, 34 (02) :211-222

[8]

HELBIG S, 1990, SCALARIZATION VECTOR

[9]

HELBIG S, 1990, METHODS OPERATIONS R, V60, P397

[10]

Hwang C.-L., 1979, LECT NOTES EC MATH S, V164, P21, DOI [10.1007/978-3-642-45511-7_3, DOI 10.1007/978-3-642-45511-7_3]

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