eprintid: 2584
rev_number: 7
eprint_status: archive
userid: 6
dir: disk0/00/00/25/84
datestamp: 2015-02-10 13:31:51
lastmod: 2015-02-10 13:31:51
status_changed: 2015-02-10 13:31:51
type: book_section
metadata_visibility: show
creators_name: Bortolussi, Luca
creators_name: Tribastone, Mirco
creators_id: 
creators_id: mirco.tribastone@imtlucca.it
title: Fluid limits of queueing networks with batches
ispublished: pub
subjects: QA75
divisions: CSA
full_text_status: none
abstract: 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.
date: 2012
publisher: ACM
pagerange: 45-56
id_number: doi:10.1145/2188286.2188296
refereed: TRUE
isbn: 978-1-4503-1202-8
book_title: Proceedings of the third joint WOSP/SIPEW international conference on Performance Engineering - ICPE '12
official_url: http://dx.doi.org/10.1145/2188286.2188296
citation:   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)