Abstract | ||
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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 |
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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 Lv | 1 | 90 | 6.44 |
Tiesong Hu | 2 | 69 | 5.31 |
Zhongping Wan | 3 | 208 | 19.04 |