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Avtomatika i Telemekhanika, 2016, Issue 3, Pages 109–122 (Mi at14405)  

This article is cited in 13 scientific papers (total in 13 papers)

Control in Social Economic Systems, Medicine, and Biology

Stochastic problem of competitive location of facilities with quantile criterion

S. V. Ivanov, M. V. Morozova

Moscow State Aviation Institute, Moscow, Russia
References:
Abstract: A stochastic problem of facility location formulated as a discrete bilevel problem of stochastic programming with quantile criterion was proposed. Consideration was given there to a pair of competitive players successively locating facilities with the aim of maximizing their profits. For the case of discrete distribution of the random consumer demands, it was proposed to reduce the original problem to the deterministic problem of bilevel programming. A method to calculate the value of the objective function under fixed leader strategy and procedures to construct the upper and lower bounds of the optimal value of the objective function were proposed.
Funding agency Grant number
Russian Foundation for Basic Research 14-07-00006 А
Presented by the member of Editorial Board: A. I. Kibzun

Received: 09.01.2015
English version:
Automation and Remote Control, 2016, Volume 77, Issue 3, Pages 451–461
DOI: https://doi.org/10.1134/S0005117916030073
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. V. Ivanov, M. V. Morozova, “Stochastic problem of competitive location of facilities with quantile criterion”, Avtomat. i Telemekh., 2016, no. 3, 109–122; Autom. Remote Control, 77:3 (2016), 451–461
Citation in format AMSBIB
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\by S.~V.~Ivanov, M.~V.~Morozova
\paper Stochastic problem of competitive location of facilities with quantile criterion
\jour Avtomat. i Telemekh.
\yr 2016
\issue 3
\pages 109--122
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\elib{https://elibrary.ru/item.asp?id=25996292}
\transl
\jour Autom. Remote Control
\yr 2016
\vol 77
\issue 3
\pages 451--461
\crossref{https://doi.org/10.1134/S0005117916030073}
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Linking options:
  • https://www.mathnet.ru/eng/at14405
  • https://www.mathnet.ru/eng/at/y2016/i3/p109
  • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Avtomatika i Telemekhanika
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    Full-text PDF :66
    References:81
    First page:47
     
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