Linear optimization with multiple equitable criteria

被引：65

作者：

Kostreva, MM ^{[1
]}

Ogryczak, W

机构：

[1] Clemson Univ, Clemson, SC 29634 USA

[2] Warsaw Univ, PL-02097 Warsaw, Poland

来源：

RAIRO-RECHERCHE OPERATIONNELLE-OPERATIONS RESEARCH | 1999年 / 33卷 / 03期

关键词：

multiple criteria; linear programming; efficiency; equity;

D O I：

10.1051/ro:1999112

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：

The standard multiple criteria optimization starts with an assumption that the criteria are incomparable. However, there are many applications in which the criteria express ideas of allocation of resources meant to achieve some equitable distribution. This paper focuses on solving linear multiple criteria optimization problems with uniform criteria treated in an equitable way. An axiomatic definition of equitable efficiency is introduced as an refinement of Pareto-optimality. Various generation techniques are examined and the structure of the equitably efficient set is analyzed.

引用

页码：275 / 297

页数：23

共 18 条

[1]

BROWN JR, 1979, OPER RES, V27, P341, DOI 10.1287/opre.27.2.341

[2] SHARING PROBLEM [J].