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...
Saved in:
| Main Authors: | , |
|---|---|
| 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 |
| Subjects: | |
| Online Access: | https://doklady.bsuir.by/jour/article/view/882 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1839567919640477696 |
|---|---|
| author | D. E. Berezhnov L. I. Minchenko |
| author_facet | D. E. Berezhnov L. I. Minchenko |
| author_sort | D. E. Berezhnov |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-b82b9ee472b14d3db0c6ee99fad6b115 |
| institution | Matheson Library |
| issn | 1729-7648 |
| language | Russian |
| publishDate | 2019-06-01 |
| publisher | Educational institution «Belarusian State University of Informatics and Radioelectronics» |
| record_format | Article |
| series | Doklady Belorusskogo gosudarstvennogo universiteta informatiki i radioèlektroniki |
| spelling | doaj-art-b82b9ee472b14d3db0c6ee99fad6b1152025-08-04T17:38:17ZrusEducational institution «Belarusian State University of Informatics and Radioelectronics»Doklady Belorusskogo gosudarstvennogo universiteta informatiki i radioèlektroniki1729-76482019-06-01058992881On partial calmness for bilevel programming problem with a linear lower-level problemD. E. Berezhnov0L. I. Minchenko1Belarusian state university of informatics and radioelectronicsBelarusian state university of informatics and radioelectronicsNumerous 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.https://doklady.bsuir.by/jour/article/view/882optimizationbilevel programmingpartial calmness |
| spellingShingle | D. E. Berezhnov L. I. Minchenko On partial calmness for bilevel programming problem with a linear lower-level problem Doklady Belorusskogo gosudarstvennogo universiteta informatiki i radioèlektroniki optimization bilevel programming partial calmness |
| title | On partial calmness for bilevel programming problem with a linear lower-level problem |
| title_full | On partial calmness for bilevel programming problem with a linear lower-level problem |
| title_fullStr | On partial calmness for bilevel programming problem with a linear lower-level problem |
| title_full_unstemmed | On partial calmness for bilevel programming problem with a linear lower-level problem |
| title_short | On partial calmness for bilevel programming problem with a linear lower-level problem |
| title_sort | on partial calmness for bilevel programming problem with a linear lower level problem |
| topic | optimization bilevel programming partial calmness |
| url | https://doklady.bsuir.by/jour/article/view/882 |
| work_keys_str_mv | AT deberezhnov onpartialcalmnessforbilevelprogrammingproblemwithalinearlowerlevelproblem AT liminchenko onpartialcalmnessforbilevelprogrammingproblemwithalinearlowerlevelproblem |