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.

Bibliographic Details
Main Authors: V.A. Emelichev, V. Nikulin
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
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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.
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2501-059X
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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