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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 63, 2014 - Issue 5
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Articles

A new equivalent single-level problem for bilevel problems

S. Dempe Department of Mathematics and Computers Sciences, Technical University Bergakademie Freiberg, Freiberg, 09596, Germany
&
N. Gadhi Department of Mathematics, Dhar El Mehrez, Sidi Mohamed Ben Abdellah University, Fes, MoroccoCorrespondence[email protected]
Pages 789-798 | Received 20 Sep 2011, Accepted 30 Jul 2012, Published online: 03 Dec 2012
 
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Abstract

In this article, we give necessary optimality conditions for a bilevel optimization problem (P). An intermediate single-level problem (Q), which is equivalent to the bilevel optimization problem (P), has been introduced.

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Acknowledgements

This work is supported by the Alexander-von-Humboldt foundation.

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