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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 5, Pages 8–17 (Mi ivm6731)  
This article is cited in 1 scientific paper (total in 1 paper)

On a measure of quasistability of a certain vector linearly combinatorial Boolean problem

V. A. Emelicheva, A. V. Karpuka, K. G. Kuz'minb

a Chair of Equations of Mathematical Physics, Belarus State University, Minsk, Republic of Belarus
b Chair of General Mathematics and Information Science, Belarus State University, Minsk, Republic of Belarus
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Abstract: We consider a multicriterion problem of finding the Pareto set in the case when linear forms (functions) are minimized both on a set of substitutions and on a set of Boolean vectors. We obtain a formula for the radius of that type of the problem stability (with respect to perturbations of parameters of a vector criterion) that guarantees the preservation of all Pareto optimal solutions of the initial problem and allows the occurrence of new ones.
Keywords: linearly combinatorial Boolean problem, vector objective function, Pareto set, quasistability radius, perturbing matrix.
Received: 31.03.2008
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 5, Pages 6–14
DOI: https://doi.org/10.3103/S1066369X10050026
Bibliographic databases:
UDC: 519.8
Language: Russian
Citation: V. A. Emelichev, A. V. Karpuk, K. G. Kuz'min, “On a measure of quasistability of a certain vector linearly combinatorial Boolean problem”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 5, 8–17; Russian Math. (Iz. VUZ), 54:5 (2010), 6–14
Citation in format AMSBIB
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\paper On a~measure of quasistability of a~certain vector linearly combinatorial Boolean problem
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2010
\issue 5
\pages 8--17
\mathnet{http://mi.mathnet.ru/ivm6731}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2779768}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2010
\vol 54
\issue 5
\pages 6--14
\crossref{https://doi.org/10.3103/S1066369X10050026}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78649575542}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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