EXISTENCE OF OPTIMAL-SOLUTIONS TO MATHEMATICAL PROGRAMS WITH EQUILIBRIUM CONSTRAINTS

被引：73

作者：

HARKER, PT ^{[1
]}

PANG, JS ^{[1
]}

机构：

[1] JOHNS HOPKINS UNIV,DEPT MATH SCI,BALTIMORE,MD 21218

来源：

OPERATIONS RESEARCH LETTERS | 1988年 / 7卷 / 02期

关键词：

ECONOMICS - Mathematical Models - MATHEMATICAL MODELS - Optimization - MATHEMATICAL TECHNIQUES - Algorithms;

D O I：

10.1016/0167-6377(88)90066-1

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：

This paper has stated a set of conditions which are sufficient for the exisence of an optimal solution to a mathematical program with equilibrium constraints, both in the general case and in the case of variational inequality constraints. Future research should be devoted to the design of algorithms for solving this class of mathematical programs and to the extension to the case of 'multi-leader' problems in which the objective function is replaced by an equilibrium problem among several competing leaders.

引用

页码：61 / 64

页数：4

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