Fast Jackson-Type Networks with Dynamic Routing

Suhov, Yu. M. and Vvedenskaya, N. D. (2000) Fast Jackson-Type Networks with Dynamic Routing. (Preprint)

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Abstract

We propose a new class of models of queueing networks with load-balanced dynamic routing. The paper extends earlier works, including [FC], [FMcD], [VDK], where systems with no feedback were considered. The main results are: (a) a sufficient condition for positive recurrence of the arising Markov process and (b) a limiting mean-field picture where the process becomes deterministic and is described by a system of non-linear ODEs.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 19 Jun 2018 13:53
Last Modified: 17 Jul 2018 13:12
URI: http://dair.dias.ie/id/eprint/580

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