Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 162, Issue 1, Pages 51-63Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2003.12.089
Keywords
linear bilevel programming; Kuhn-Tucker conditions; optimization; decision-making; von Stackelberg game
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Kuhn-Tucker approach has been applied with remarkable success in linear bilevel programming (BLP). However, it still has some extent unsatisfactory and incomplete. One principle challenges is that it could not well handle a linear BLP problem when the constraint functions at the upper-level are of arbitrary linear form. This paper describes theoretical foundation of Kuhn Tucker approach and proposes an extended Kuhn-Tucker approach to deal with the problem. The results have demonstrated that the extended Kuhn-Tucker approach can solve a wider class of linear BLP problems can than current capabilities permit. (C) 2004 Elsevier Inc. All rights reserved.
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