AN APPLICATION OF THE AUMANN-SHAPLEY PRICES FOR COST ALLOCATION IN TRANSPORTATION PROBLEMS

被引：34

作者：

SAMET, D ^{[1
]}

TAUMAN, Y ^{[1
]}

ZANG, I ^{[1
]}

机构：

[1] TEL AVIV UNIV,FAC MANAGEMENT,IL-69978 TEL AVIV,ISRAEL

来源：

MATHEMATICS OF OPERATIONS RESEARCH | 1984年 / 9卷 / 01期

关键词：

MATHEMATICAL PROGRAMMING; LINEAR;

D O I：

10.1287/moor.9.1.25

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 Aumann-Shapley (A-S) prices are axiomatically determined on certain classes of piecewise continuously differentiable cost functions. One of these classes consists of all cost functions derived from the transportation problems and some of their generalizations. These prices are used here to allocate costs among destinations in a way that each destination will pay its 'real part' in the total transportation costs. An economic transportation model is presented in which the A-S prices are compatible with consumer demands. Finally an algorithm is provided to calculate both the optimal solution and the associated A-S prices for transportation problems.

引用

页码：25 / 42

页数：18

共 16 条

[1]

Aumann R. J., 1974, VALUES NONATOMIC GAM

[2] OPERATOR THEORY OF PARAMETRIC PROGRAMMING FOR GENERALIZED TRANSPORTATION PROBLEM .1. BASIC THEORY [J].