Quasi-stability of a vector trajectorial problem with non-linear partial criteria

Multi-objective (vector) combinatorial problem of finding the Pareto set with four kinds of non-linear partial criteria is considered. Necessary and sufficient conditions of that kind of stability of the problem (quasi-stability) are obtained. The problem is a discrete analogue of the lower semicont...

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Main Authors:	Vladimir A. Emelichev, Kirill E. Kovalenko
Format:	Article
Language:	English
Published:	Institute of Mathematics and Computer Science of the Academy of Sciences of Moldova 2003-10-01
Series:	Computer Science Journal of Moldova
Subjects:	Vector trajectorial problem the Pareto set quasi-stability
Online Access:	http://www.math.md/files/csjm/v11-n2/v11-n2-(pp137-149).pdf

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spelling	doaj-e45e24ed053f48cf99e7a7df0ac545672020-11-24T21:14:50ZengInstitute of Mathematics and Computer Science of the Academy of Sciences of MoldovaComputer Science Journal of Moldova1561-40422003-10-01112(32)137149Quasi-stability of a vector trajectorial problem with non-linear partial criteriaVladimir A. Emelichev0Kirill E. Kovalenko1Belarusian State University, ave. Fr. Skorina, 4, Minsk 220050, BelarusBelarusian State University, ave. Fr. Skorina, 4, Minsk 220050, BelarusMulti-objective (vector) combinatorial problem of finding the Pareto set with four kinds of non-linear partial criteria is considered. Necessary and sufficient conditions of that kind of stability of the problem (quasi-stability) are obtained. The problem is a discrete analogue of the lower semicontinuity by Hausdorff of the optimal mapping. Mathematics Subject Classification 2000: 90C10, 90C05, 90C29, 90C31.http://www.math.md/files/csjm/v11-n2/v11-n2-(pp137-149).pdfVector trajectorial problemthe Pareto setquasi-stability
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Vladimir A. Emelichev Kirill E. Kovalenko
spellingShingle	Vladimir A. Emelichev Kirill E. Kovalenko Quasi-stability of a vector trajectorial problem with non-linear partial criteria Computer Science Journal of Moldova Vector trajectorial problem the Pareto set quasi-stability
author_facet	Vladimir A. Emelichev Kirill E. Kovalenko
author_sort	Vladimir A. Emelichev
title	Quasi-stability of a vector trajectorial problem with non-linear partial criteria
title_short	Quasi-stability of a vector trajectorial problem with non-linear partial criteria
title_full	Quasi-stability of a vector trajectorial problem with non-linear partial criteria
title_fullStr	Quasi-stability of a vector trajectorial problem with non-linear partial criteria
title_full_unstemmed	Quasi-stability of a vector trajectorial problem with non-linear partial criteria
title_sort	quasi-stability of a vector trajectorial problem with non-linear partial criteria
publisher	Institute of Mathematics and Computer Science of the Academy of Sciences of Moldova
series	Computer Science Journal of Moldova
issn	1561-4042
publishDate	2003-10-01
description	Multi-objective (vector) combinatorial problem of finding the Pareto set with four kinds of non-linear partial criteria is considered. Necessary and sufficient conditions of that kind of stability of the problem (quasi-stability) are obtained. The problem is a discrete analogue of the lower semicontinuity by Hausdorff of the optimal mapping. Mathematics Subject Classification 2000: 90C10, 90C05, 90C29, 90C31.
topic	Vector trajectorial problem the Pareto set quasi-stability
url	http://www.math.md/files/csjm/v11-n2/v11-n2-(pp137-149).pdf
work_keys_str_mv	AT vladimiraemelichev quasistabilityofavectortrajectorialproblemwithnonlinearpartialcriteria AT kirillekovalenko quasistabilityofavectortrajectorialproblemwithnonlinearpartialcriteria
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Quasi-stability of a vector trajectorial problem with non-linear partial criteria

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