# Thermodynamic Limit and Propagation of Chaos in Polling Networks

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1 MEVAL - Methods, algorithms and software in automatic control Inria Paris-Rocquencourt

Abstract : {${\P ,¸N\geq 1 }$ is a sequence of standard polling networks, consisting of $N$ nodes attended by $V$ mobile servers. When a server arrives at a node $i$, he serves one of the waiting customers, if any, and then moves to node $j$ with probability $p {ij}$. Customers arrive according to a Poisson process. Service requirements and switch-over times between nodes are independent exponentially distributed random variables. The behavior of $\P$ is analyzed in {\em thermodynamic limit}, i.e when both $N$ and $V$ tend to infinity, with \$U\egaldef\lim {N ightarrow\infty}V -N,\ 0

Keywords : MEAN-FIELD PROPAGATION OF CHAOS POLLING NETWORKS THERMODYNAMIC LIMIT PROPAGATION OF CHAOS. MARKOV PROCESS

Autor: Franck Delcoigne - Guy Fayolle -

Fuente: https://hal.archives-ouvertes.fr/

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