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 Avtomat. i Telemekh., 2016, Issue 3, Pages 109–122 (Mi at14405)

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

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 À

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English version:
Automation and Remote Control, 2016, 77:3, 451–461

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Presented by the member of Editorial Board: À. È. Êèáçóí

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
\Bibitem{IvaMor16} \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 \mathnet{http://mi.mathnet.ru/at14405} \elib{http://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} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000373345900007} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84962384519} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. Melnikov A., Beresnev V., “Upper Bound for the Competitive Facility Location Problem with Quantile Criterion”, Discrete Optimization and Operations Research, Lecture Notes in Computer Science, 9869, eds. Kochetov Y., Khachay M., Beresnev V., Nurminski E., Pardalos P., Springer Int Publishing Ag, 2016, 373–387
2. S. V. Ivanov, “A bilevel stochastic programming problem with random parameters in the Follower's objective function”, J. Appl. Industr. Math., 12:4 (2018), 658–667
3. A. Jabbarzadeh, B. Fahimnia, F. Sabouhi, “Resilient and sustainable supply chain design: sustainability analysis under disruption risks”, Int. J. Prod. Res., 56:17 (2018), 5945–5968
4. S. M. Lavlinskii, A. A. Panin, A. V. Plyasunov, “Modeli Shtakelberga v territorialnom planirovanii”, Avtomat. i telemekh., 2019, no. 2, 111–124
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