Stability results for efficient solutions of vector optimization problems

被引：38

作者：

Xiang, S. W. ^{[1
]}

Yin, W. S. ^{[1
]}

机构：

[1] Guizhou Univ, Dept Math, Guiyang, Peoples R China

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2007年 / 134卷 / 03期

基金：

中国国家自然科学基金;

关键词：

additive weight method; vector optimization; essential solutions; efficient solutions; additive weight solutions;

D O I：

10.1007/s10957-007-9214-0

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：

Using the additive weight method of vector optimization problems and the method of essential solutions, we study some continuity properties of the mapping which associates the set of efficient solutions S(f) to the objective function f. To understand such properties, the key point is to consider the stability of additive weight solutions and the relationship between efficient solutions and additive weight solutions.

引用

页码：385 / 398

页数：14

共 17 条

[1] VECTOR MAXIMIZATION PROBLEM - PROPER EFFICIENCY AND STABILITY [J].