Weak linear bilevel programming problems: existence of solutions via a penalty method

被引：29

作者：

Aboussoror, A

Mansouri, A

机构：

[1] Univ Cadi Ayyad, SAFI, Ctr Etud Univ, Safi, Morocco

[2] Univ Cadi Ayyad, Fac Sci Semlalia, Dept Math, Marrakech, Morocco

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 304卷 / 01期

关键词：

bilevel programming; linear programming; duality; penalty methods;

D O I：

10.1016/j.jmaa.2004.09.033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are concerned with a class of weak linear bilevel programs with nonunique lower level solutions. For such problems, we give via an exact penalty method an existence theorem of solutions. Then. we propose an algorithm. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：399 / 408

页数：10

共 11 条

[1]

Aboussoror A, 2002, ADV MATH RE, V1, P83

[2] A SOLUTION METHOD FOR THE LINEAR STATIC STACKELBERG PROBLEM USING PENALTY-FUNCTIONS [J].