relation: http://eprints.imtlucca.it/2584/
title: Fluid limits of queueing networks with batches
creator: Bortolussi, Luca
creator: Tribastone, Mirco
subject: QA75 Electronic computers. Computer science
description: 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.
publisher: ACM
date: 2012
type: Book Section
type: PeerReviewed
identifier:   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)  
relation: http://dx.doi.org/10.1145/2188286.2188296
relation: doi:10.1145/2188286.2188296