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Diskretnyi Analiz i Issledovanie Operatsii, 2008, Volume 15, Issue 5, Pages 6–19 (Mi da546)  
This article is cited in 6 scientific papers (total in 6 papers)

On stability kernel of a multicriteria combinatorial minimax problem

V. A. Emelichev, E. Gurevsky

Belarusian State University
Full-text PDF (273 kB) Citations (6)
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Abstract: A multicriteria variant of the combinatorial extremal bottleneck problem with four well-known types of optimality principles (Pareto, Smale, Slater, and lexicographic) is considered. The structure of the set of solutions which preserve respective optimality for any changes of parameters of minimax criteria within “small” neighborhood is investigated. Such set is called a stability kernel. Bibl. 16.
Keywords: multicriteriality, combinatorial optimization, minimax partial criteria, stability, the Pareto set, the Smale set, the Slater set, the lexicographic set.
Received: 01.02.2008
Bibliographic databases:
UDC: 519.8
Language: Russian
Citation: V. A. Emelichev, E. Gurevsky, “On stability kernel of a multicriteria combinatorial minimax problem”, Diskretn. Anal. Issled. Oper., 15:5 (2008), 6–19
Citation in format AMSBIB
\Bibitem{EmeGur08}
\by V.~A.~Emelichev, E.~Gurevsky
\paper On stability kernel of a~multicriteria combinatorial minimax problem
\jour Diskretn. Anal. Issled. Oper.
\yr 2008
\vol 15
\issue 5
\pages 6--19
\mathnet{http://mi.mathnet.ru/da546}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2543151}
\zmath{https://zbmath.org/?q=an:1249.90217}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретный анализ и исследование операций
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    Abstract page:576
    Full-text PDF :134
    References:69
    First page:8
     
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