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ЖУРНАЛЫ // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Архив

Bul. Acad. Ştiinţe Repub. Mold. Mat., 2018, номер 2, страницы 30–40 (Mi basm480)

Research articles

Aspects of stability for multicriteria quadratic problems of Boolean programming

Vladimir A. Emelicheva, Yury V. Nikulinb

a Belarusian State University, Nezavisimosti 4, 220030 Minsk, Belarus
b University of Turku, Vesilinnantie 5, 20014 Turku, Finland

Аннотация: 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 Hölder's norms.

Ключевые слова и фразы: Boolean programming, quadratic problem, multicriteria optimization, Pareto set, stability radius, Hölder's norms.

MSC: 90C09, 90C29, 90C31

Поступила в редакцию: 06.07.2017

Язык публикации: английский



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