Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2009, Number 3, Pages 13–29 (Mi basm233)  
This article is cited in 1 scientific paper (total in 1 paper)

Research articles

Postoptimal analysis of multicriteria combinatorial center location problem

Vladimir Emelicheva, Eberhard Girlichb, Olga Karelkinaa

a Belarusian State University, Minsk, Belarus
b Otto-von-Guericke-Universitat, Magdeburg, Germany
Full-text PDF (218 kB) Citations (1)
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Abstract: A multicriteria variant of a well known combinatorial MINMAX location problem with Pareto and lexicographic optimality principles is considered. Necessary and sufficient conditions of an optimal solution stability of such problems to the initial data perturbations are formulated in terms of binary relations. Numerical examples are given.
Keywords and phrases: center location problem, Pareto optimal trajectory, lexicographically optimal trajectory, perturbing matrix, trajectory stability, binary relations, stability criteria.
Received: 21.10.2009
Bibliographic databases:
Document Type: Article
MSC: 90C27, 90C29, 90C31, 90C47
Language: English
Citation: Vladimir Emelichev, Eberhard Girlich, Olga Karelkina, “Postoptimal analysis of multicriteria combinatorial center location problem”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2009, no. 3, 13–29
Citation in format AMSBIB
\Bibitem{EmeGirKar09}
\by Vladimir~Emelichev, Eberhard~Girlich, Olga~Karelkina
\paper Postoptimal analysis of multicriteria combinatorial center location problem
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2009
\issue 3
\pages 13--29
\mathnet{http://mi.mathnet.ru/basm233}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2643151}
\zmath{https://zbmath.org/?q=an:1209.90299}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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