On stability and quasi-stability of a vector lexicographic quadratic boolean programming problem
We consider a vector Boolean programming problem with the linear-quadratic partial criteria. Formulas of radiuses of two types of stability, necessary and sucient conditions of stability are found.
Main Authors: | , |
---|---|
Format: | Article |
Language: | English |
Published: |
Publishing House of the Romanian Academy
2001-02-01
|
Series: | Journal of Numerical Analysis and Approximation Theory |
Online Access: | https://www.ictp.acad.ro/jnaat/journal/article/view/679 |
_version_ | 1828543862186967040 |
---|---|
author | V.A. Emelichev V. Nikulin |
author_facet | V.A. Emelichev V. Nikulin |
author_sort | V.A. Emelichev |
collection | DOAJ |
description | We consider a vector Boolean programming problem with the linear-quadratic partial criteria. Formulas of radiuses of two types of stability, necessary and sucient conditions of stability are found. |
first_indexed | 2024-12-12T02:21:17Z |
format | Article |
id | doaj.art-43737cbc4dda4ac5ab6d3fce582d1632 |
institution | Directory Open Access Journal |
issn | 2457-6794 2501-059X |
language | English |
last_indexed | 2024-12-12T02:21:17Z |
publishDate | 2001-02-01 |
publisher | Publishing House of the Romanian Academy |
record_format | Article |
series | Journal of Numerical Analysis and Approximation Theory |
spelling | doaj.art-43737cbc4dda4ac5ab6d3fce582d16322022-12-22T00:41:41ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2001-02-01301On stability and quasi-stability of a vector lexicographic quadratic boolean programming problemV.A. Emelichev0V. Nikulin1Belarusian State UniversityBelarusian State UniversityWe consider a vector Boolean programming problem with the linear-quadratic partial criteria. Formulas of radiuses of two types of stability, necessary and sucient conditions of stability are found.https://www.ictp.acad.ro/jnaat/journal/article/view/679 |
spellingShingle | V.A. Emelichev V. Nikulin On stability and quasi-stability of a vector lexicographic quadratic boolean programming problem Journal of Numerical Analysis and Approximation Theory |
title | On stability and quasi-stability of a vector lexicographic quadratic boolean programming problem |
title_full | On stability and quasi-stability of a vector lexicographic quadratic boolean programming problem |
title_fullStr | On stability and quasi-stability of a vector lexicographic quadratic boolean programming problem |
title_full_unstemmed | On stability and quasi-stability of a vector lexicographic quadratic boolean programming problem |
title_short | On stability and quasi-stability of a vector lexicographic quadratic boolean programming problem |
title_sort | on stability and quasi stability of a vector lexicographic quadratic boolean programming problem |
url | https://www.ictp.acad.ro/jnaat/journal/article/view/679 |
work_keys_str_mv | AT vaemelichev onstabilityandquasistabilityofavectorlexicographicquadraticbooleanprogrammingproblem AT vnikulin onstabilityandquasistabilityofavectorlexicographicquadraticbooleanprogrammingproblem |