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Diskretnyi Analiz i Issledovanie Operatsii, 2009, Volume 16, Issue 2, Pages 74–84 (Mi da569)  
This article is cited in 2 scientific papers (total in 2 papers)

On quasistability of a lexicographic MINSUM arrangement problem

V. A. Emelichev, O. V. Karelkina

Belarussian State University, Minsk, Belarus
Full-text PDF (660 kB) Citations (2)
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Abstract: A multicriteria variant of the well-known combinatorial extremal median arrangement problem with sequential minimization of MINSUM criteria is considered. Necessary and sufficient conditions for quasistability of the problem are obtained, i.e. conditions under which sufficiently small initial data perturbations preserve all lexicographic optima of the original problem and allow occurrence of the new ones. Numerical illustration is given. Bibl. 14.
Keywords: vector MINSUM arrangement problem, lexicographic set, perturbing matrix, quasistability, binary relations.
Received: 02.12.2008
Bibliographic databases:
UDC: 519.8
Language: Russian
Citation: V. A. Emelichev, O. V. Karelkina, “On quasistability of a lexicographic MINSUM arrangement problem”, Diskretn. Anal. Issled. Oper., 16:2 (2009), 74–84
Citation in format AMSBIB
\Bibitem{EmeKar09}
\by V.~A.~Emelichev, O.~V.~Karelkina
\paper On quasistability of a~lexicographic MINSUM arrangement problem
\jour Diskretn. Anal. Issled. Oper.
\yr 2009
\vol 16
\issue 2
\pages 74--84
\mathnet{http://mi.mathnet.ru/da569}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2574310}
\zmath{https://zbmath.org/?q=an:1249.90218}
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    • This publication is cited in the following 2 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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    References:64
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