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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2009, Number 2, Pages 55–61 (Mi basm226)  

This article is cited in 2 scientific papers (total in 2 papers)

Research articles

On stability and quasi-stability radii for a vector combinatorial problem with a parametric optimality principle

Vladimir A. Emelichev, Evgeny E. Gurevsky, Andrey A. Platonov

Belarusian State University, Minsk, Belarus
Full-text PDF (176 kB) Citations (2)
References:
Abstract: A vector combinatorial linear problem with a parametric optimality principle that allows us to relate the well-known choice functions of jointly-extremal and Pareto solution is considered. A quantitative analysis of stability for the set of generalized efficient trajectories under the independent perturbations of coefficients of linear functions is performed. Formulas of stability and quasi-stability radii are obtained in the $l_\infty$-metric. Some results published earlier are derived as corollaries.
Keywords and phrases: multiobjectivity, combinatorial optimization, Pareto optimality, jointly-extremal optimality, stability radius, quasi-stability radius.
Received: 03.04.2009
Bibliographic databases:
Document Type: Article
MSC: 90C29, 90C31
Language: English
Citation: Vladimir A. Emelichev, Evgeny E. Gurevsky, Andrey A. Platonov, “On stability and quasi-stability radii for a vector combinatorial problem with a parametric optimality principle”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2009, no. 2, 55–61
Citation in format AMSBIB
\Bibitem{EmeGurPla09}
\by Vladimir~A.~Emelichev, Evgeny~E.~Gurevsky, Andrey~A.~Platonov
\paper On stability and quasi-stability radii for a~vector combinatorial problem with a~parametric optimality principle
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2009
\issue 2
\pages 55--61
\mathnet{http://mi.mathnet.ru/basm226}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2589928}
\zmath{https://zbmath.org/?q=an:1227.90034}
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  • https://www.mathnet.ru/eng/basm/y2009/i2/p55
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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