4.7 Article

An extended Kth-best approach for linear bilevel programming

Journal

APPLIED MATHEMATICS AND COMPUTATION
Volume 164, Issue 3, Pages 843-855

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2004.06.047

Keywords

linear bilevel programming; Kth-best approach; optimization; Von Stackelberg game

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Kth-best approach is one of the three popular and workable approaches for linear bilevel programming. However, it could not well deal with a linear bilevel programming problem when the constraint functions at the Upper-level are of arbitrary linear form. Based oil our previous work, this paper proposes theoretical propel-ties of linear bilevel programming and presents an extended Kth-best approach for linear bilevel programming which can effectively solve above problem. (c) 2004 Elsevier Inc. All rights reserved.

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