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Fluid limits of queueing networks with batches

Bortolussi, Luca and Tribastone, Mirco Fluid limits of queueing networks with batches. In: Proceedings of the third joint WOSP/SIPEW international conference on Performance Engineering - ICPE '12. ACM, pp. 45-56. ISBN 978-1-4503-1202-8 (2012)

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This paper presents an analytical model for the performance prediction of queueing networks with batch services and batch arrivals, related to the fluid limit of a suitable single-parameter sequence of continuous-time Markov chains and interpreted as the deterministic approximation of the average behaviour of the stochastic process. Notably, the underlying system of ordinary differential equations exhibits discontinuities in the right-hand sides, which however are proven to yield a meaningful solution. A substantial numerical assessment is used to study the quality of the approximation and shows very good accuracy in networks with large job populations.

Item Type: Book Section
Identification Number: 10.1145/2188286.2188296
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Research Area: Computer Science and Applications
Depositing User: Ms T. Iannizzi
Date Deposited: 10 Feb 2015 13:31
Last Modified: 10 Feb 2015 13:31
URI: http://eprints.imtlucca.it/id/eprint/2584

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