On the definition of linear bilevel programming solution

On the definition of linear bilevel programming solution

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Article ID: iaor2007415
Country: Netherlands
Volume: 160
Issue: 1
Start Page Number: 169
End Page Number: 176
Publication Date: Jan 2005
Journal: Applied Mathematics and Computation
Authors: , ,
Keywords: game theory
Abstract:

Linear bilevel programming theory has been studied for many years by a number of researchers from different aspects, yet it still remains to some extent unsatisfactory and incomplete. The main challenge is how to solve a linear bilevel programming problem when the upper-level's constraint functions are of arbitrary linear form. This paper proposes a definition for linear bilevel programming solution. The performance comparisons have demonstrated that the new model can solve a wider class of problems than current capabilities permit.

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