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JOURNALS // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Archive

Bul. Acad. Ştiinţe Repub. Mold. Mat., 2015 Number 2, Pages 74–81 (Mi basm393)

This article is cited in 4 papers

Research articles

Estimates of stability radius of multicriteria Boolean problem with Hölder metrics in parameter spaces

Vladimir A. Emelichev, Kirill G. Kuzmin, Vadim I. Mychkov

Belarusian State University, 4, Nezavisimosti Ave., 220030 Minsk, Belarus

Abstract: We consider multiple objective combinatorial linear problem in the situation where parameters of objective functions are exposed to perturbations. We study quantitative characteristic of stability (stability radius) of the problem assuming that there are Hölder metrics in the space of solutions and the criteria space.

Keywords and phrases: Boolean programming, multicriteria optimization, stability radius, Pareto set, Hölder metric.

MSC: 90C09, 90C27, 90C29, 90C31

Received: 15.05.2015

Language: English



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