Efficiency conditions and duality for a class of multiobjective fractional programming problems

被引：81

作者：

Liang, ZA ^{[1
]}

Huang, HX

Pardalos, PM

机构：

[1] Shanghai Univ Finance & Econ, Dept Appl Math, Shanghai 200433, Peoples R China

[2] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

[3] Univ Florida, Dept Ind & Syst Engn, Gainesville, FL 32611 USA

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2003年 / 27卷 / 04期

关键词：

duality; efficiency condition; efficient solution; (F; alpha; p; d)-convex functions; multiobjective fractional programming problem;

D O I：

10.1023/A:1026041403408

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 class of constrained multiobjective fractional programming problems is considered from a viewpoint of the generalized convexity. Some basic concepts about the generalized convexity of functions, including a unified formulation of generalized convexity, are presented. Based upon the concept of the generalized convexity, efficiency conditions and duality for a class of multiobjective fractional programming problems are obtained. For three types of duals of the multiobjective fractional programming problem, the corresponding duality theorems are also established.

引用

页码：447 / 471

页数：25

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