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Problemy Peredachi Informatsii, 2016, Volume 52, Issue 2, Pages 86–110 (Mi ppi2207)  
This article is cited in 5 scientific papers (total in 5 papers)

The International Dobrushin Prize

Queueing networks with mobile servers: the mean-field approach

F. Baccellia, A. N. Rybkob, S. B. Shlosmanbcd

a Department of Mathematics, University of Texas at Austin, Austin, USA
b Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia
c Le Centre de Physique Théorique, Aix-Marseille Université, Marseille, France
d Université de Toulon, La Garde, France
Full-text PDF (348 kB) Citations (5)
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Abstract: We consider queueing networks which are made from servers exchanging their positions on a graph. When two servers exchange their positions, they take their customers with them. Each customer has a fixed destination. Customers use the network to reach their destinations, which is complicated by movements of the servers. We develop the general theory of such networks and establish the convergence of the symmetrized version of such a network to some nonlinear Markov process.
Funding agency Grant number
Russian Science Foundation 14-50-00150
Agence Nationale de la Recherche ANR-11-LABX-0033
University foundation AMIDEX ANR-11-IDEX-0001-02
The results of Sections 3–5 were obtained at the Institute for Information Transmission Problems of the Russian Academy of Sciences at the expense of the Russian Science Foundation, project no. 14-50-00150.
Supported in part by the Labex Archimede (ANR-11-LABX-0033) and the A$^*$MIDEX project (ANR-11-IDEX-0001-02), funded by the “Investissements d'Avenir” French Government programme managed by the French National Research Agency (ANR).
Received: 17.08.2015
Revised: 12.01.2016
English version:
Problems of Information Transmission, 2016, Volume 52, Issue 2, Pages 178–199
DOI: https://doi.org/10.1134/S0032946016020071
Bibliographic databases:
Document Type: Article
UDC: 621.391
Language: Russian
Citation: F. Baccelli, A. N. Rybko, S. B. Shlosman, “Queueing networks with mobile servers: the mean-field approach”, Probl. Peredachi Inf., 52:2 (2016), 86–110; Problems Inform. Transmission, 52:2 (2016), 178–199
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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