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IMI/Publicaţii/BASM/Ediţii/BASM n.2(87), 2018/

Aspects of stability for multicriteria quadratic problems of Boolean programming

Authors: Vladimir A. Emelichev, Yury V. Nikulin

Abstract

We consider a multicriteria Boolean programming problem of finding the Pareto set. Partial criteria are given as quadratic functions, and they are exposed to independent perturbations. We study quantitative characteristic of stability (stability radius) of the problem. The lower and upper bounds for the stability radius are obtained in the situation where solution space and problem parameter space are endowed with various H{\"o}lder's norms.

Vladimir Emelichev
Belarusian State University, Nezavisimosti 4,
220030 Minsk, Belarus
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Yury Nikulin
University of Turku, Vesilinnantie 5,
20014 Turku, Finland
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