A sensitivity measure of the Pareto set in a vector linfnity-extreme combinatorial problem

We consider a vector minimization problem on system of subsets of finite set with Chebyshev norm in a space of perturbing parameters. The behavior of the Pareto set as a function of parameters of partial criteria of the kind MINMAX of absolute value is investigated.

Bibliographic Details
Main Authors: V.A. Emelichev, A.M. Leonovich
Format: Article
Language:English
Published: Vladimir Andrunachievici Institute of Mathematics and Computer Science 2001-12-01
Series:Computer Science Journal of Moldova
Online Access:http://www.math.md/nrofdownloads.php?file=/files/csjm/v9-n3/v9-n3-(pp291-304).pdf
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author V.A. Emelichev
A.M. Leonovich
author_facet V.A. Emelichev
A.M. Leonovich
author_sort V.A. Emelichev
collection DOAJ
description We consider a vector minimization problem on system of subsets of finite set with Chebyshev norm in a space of perturbing parameters. The behavior of the Pareto set as a function of parameters of partial criteria of the kind MINMAX of absolute value is investigated.
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spelling doaj.art-6f4f2355f5e14cf28626b7f6162999f72022-12-22T03:59:26ZengVladimir Andrunachievici Institute of Mathematics and Computer ScienceComputer Science Journal of Moldova1561-40422001-12-0193(27)291304A sensitivity measure of the Pareto set in a vector linfnity-extreme combinatorial problemV.A. Emelichev0A.M. Leonovich1Belorussian State University, ave. F.Skoriny, 4, Minsk 220050 BelarusBelorussian State University, ave. F.Skoriny, 4, Minsk 220050 BelarusWe consider a vector minimization problem on system of subsets of finite set with Chebyshev norm in a space of perturbing parameters. The behavior of the Pareto set as a function of parameters of partial criteria of the kind MINMAX of absolute value is investigated.http://www.math.md/nrofdownloads.php?file=/files/csjm/v9-n3/v9-n3-(pp291-304).pdf
spellingShingle V.A. Emelichev
A.M. Leonovich
A sensitivity measure of the Pareto set in a vector linfnity-extreme combinatorial problem
Computer Science Journal of Moldova
title A sensitivity measure of the Pareto set in a vector linfnity-extreme combinatorial problem
title_full A sensitivity measure of the Pareto set in a vector linfnity-extreme combinatorial problem
title_fullStr A sensitivity measure of the Pareto set in a vector linfnity-extreme combinatorial problem
title_full_unstemmed A sensitivity measure of the Pareto set in a vector linfnity-extreme combinatorial problem
title_short A sensitivity measure of the Pareto set in a vector linfnity-extreme combinatorial problem
title_sort sensitivity measure of the pareto set in a vector linfnity extreme combinatorial problem
url http://www.math.md/nrofdownloads.php?file=/files/csjm/v9-n3/v9-n3-(pp291-304).pdf
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