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Journal Articles Problems of Information Transmission Year : 2016

Queueing networks with mobile servers: The mean-field approach

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.
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Dates and versions

hal-01394044 , version 1 (08-11-2016)

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François Baccelli, Aleksandr N. Rybko, Senya Shlosman. Queueing networks with mobile servers: The mean-field approach. Problems of Information Transmission, 2016, 52 (2), pp.178 - 199. ⟨10.1134/S0032946016020071⟩. ⟨hal-01394044⟩
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