Dobrushin's Mean-Field Approximation for a Queue With Dynamic Routing

Abstract : A queueing system is considered, with a large number $N$ of identical infinite-buffer FCFS single-servers. The system is fed by a Poisson flow of rate $\l N$, with i.i.d. service times, under the non-overload condition. Each arriving task joins a server by selecting it from an independently (and `completely randomly') chosen collection of $m\ll N$ servers, on the basis of some fixed dynamic routing policy. We discuss various properties of such a system as $N\to\infty$. In particular, a natural limiting random process describing statistical properties of the system turns out to be deterministic.
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Rapport
[Research Report] RR-3328, INRIA. 1997
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Dernière modification le : mardi 17 avril 2018 - 11:25:29
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  • HAL Id : inria-00073361, version 1

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Nikita D. Vvedenskaya, Yuri M. Suhov. Dobrushin's Mean-Field Approximation for a Queue With Dynamic Routing. [Research Report] RR-3328, INRIA. 1997. 〈inria-00073361〉

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