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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Main Authors: | , |
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Format: | Article |
Language: | Russian |
Published: |
Educational institution «Belarusian State University of Informatics and Radioelectronics»
2019-06-01
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Series: | Doklady Belorusskogo gosudarstvennogo universiteta informatiki i radioèlektroniki |
Subjects: | |
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. |
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ISSN: | 1729-7648 |