Title
A penalty function method for solving weak price control problem
Abstract
The price control problem is an important linear bilevel programming problem. In this paper, we are concerned with a class of weak price control problems with non-unique lower level solutions. For such problems, we study the existence of solution via a penalty method. Then, we propose a simple algorithm for this problem, and present the convergence of the algorithm. The example illustrates that the method is feasible and efficient.
Year
DOI
Venue
2007
10.1016/j.amc.2006.07.151
Applied Mathematics and Computation
Keywords
Field
DocType
Linear bilevel programming,Weak price control problem,Duality,Penalty method
Convergence (routing),Mathematical optimization,Bilevel optimization,Duality (optimization),Linear programming,SIMPLE algorithm,Numerical analysis,Mathematics,Penalty method
Journal
Volume
Issue
ISSN
186
2
0096-3003
Citations 
PageRank 
References 
4
0.54
2
Authors
3
Name
Order
Citations
PageRank
Yibing Lv1906.44
Tiesong Hu2695.31
Zhongping Wan320819.04