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

This article is cited in 4 scientific papers (total 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.

Full text: PDF file (116 kB)
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MSC: 90C09, 90C27, 90C29, 90C31
Received: 15.05.2015
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Citation: Vladimir A. Emelichev, Kirill G. Kuzmin, Vadim I. Mychkov, “Estimates of stability radius of multicriteria Boolean problem with Hölder metrics in parameter spaces”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2015, no. 2, 74–81

Citation in format AMSBIB
\Bibitem{EmeKuzMyc15}
\by Vladimir~A.~Emelichev, Kirill~G.~Kuzmin, Vadim~I.~Mychkov
\paper Estimates of stability radius of multicriteria Boolean problem with H\"older metrics in parameter spaces
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2015
\issue 2
\pages 74--81
\mathnet{http://mi.mathnet.ru/basm393}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Vladimir Emelichev, Sergey Bukhtoyarov, Vadzim Mychkov, “An investment problem under multicriteriality, uncertainty and risk”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2016, no. 3, 82–98  mathnet
    2. V. A. Emelichev, Y. V. Nikulin, “Stability measures for multicriteria quadratic Boolean programming problem of finding extremum solutions”, Tr. In-ta matem., 25:2 (2017), 82–90  mathnet
    3. Vladimir A. Emelichev, Yury V. Nikulin, “Aspects of stability for multicriteria quadratic problems of Boolean programming”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2018, no. 2, 30–40  mathnet
    4. V. Emelichev, Yu. Nikulin, “Strong stability measures for multicriteria quadratic integer programming problem of finding extremum solutions”, Comput. Sci. J. Mold., 26:2 (2018), 115–125  mathscinet  isi
  • Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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