On partial calmness for bilevel programming problem with a linear lower-level problem

Numerous publications are devoted to bilevel programming problems. Despite a seemingly simple statement these problems are considerably difficult for numerical solving, and a significant part of research in the field of bilevel programming is devoted to identifying particular subsets of problems tha...

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Bibliographic Details
Main Authors: D. E. Berezhnov, L. I. Minchenko
Format: Article
Language:Russian
Published: Educational institution «Belarusian State University of Informatics and Radioelectronics» 2019-06-01
Series:Doklady Belorusskogo gosudarstvennogo universiteta informatiki i radioèlektroniki
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Online Access:https://doklady.bsuir.by/jour/article/view/882
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Summary:Numerous publications are devoted to bilevel programming problems. Despite a seemingly simple statement these problems are considerably difficult for numerical solving, and a significant part of research in the field of bilevel programming is devoted to identifying particular subsets of problems that allow for a numerical solution. One of such subsets consists of bilevel problems that possess the partial calmness property. Global partial calmness of bilevel programming problems with a linear lower-level problem is proven in this article.
ISSN:1729-7648