eprintid: 2734
rev_number: 6
eprint_status: archive
userid: 69
dir: disk0/00/00/27/34
datestamp: 2015-07-27 08:02:39
lastmod: 2015-07-27 08:02:39
status_changed: 2015-07-27 08:02:39
type: conference_item
metadata_visibility: show
creators_name: Tschaikowski, Max
creators_name: Tribastone, Mirco
creators_id: max.tschaikowski@imtlucca.it
creators_id: mirco.tribastone@imtlucca.it
title: Insensitivity to service-time distributions for fluid queueing models
ispublished: pub
subjects: QA75
divisions: CSA
full_text_status: none
pres_type: paper
abstract: We study fluid limits based on ordinary differential equations (ODEs) for Markovian queueing models where nonexponential service times are fit by appropriate Coxian distributions to match their first and second moments. We focus on a heavy-load regime, whereby the fluid limit of the queue-length process of the nonexponential queue estimates a bottleneck situation. Under this condition, we show that the ODE solution admits a steady state which is insensitive to the service-time distribution: The ODE steady state only depends on the mean service times. By contrast, the steady-state average performance measures computed by Markovian analysis are in general dependent on the higher-order moments of the service-time distribution. A numerical investigation shows that, given any two Markovian queueing models with Coxian-distributed service times with the same mean and different variance, the model with lower variance converges more rapidly to the (same) fluid limit than the one with higher variance.
date: 2013
date_type: published
publisher: ACM
pagerange: 273-281
event_title: 7th International Conference on Performance Evaluation Methodologies and Tools
event_location: Turin, Italy
event_dates: December 10–12, 2013
event_type: conference
id_number: 10.4108/icst.valuetools.2013.254374
refereed: TRUE
isbn: 978-1-936968-48-0
book_title: Proceedings of the 7th International Conference on Performance Evaluation Methodologies and Tools (VALUETOOLS 2013)
official_url: http://dl.acm.org/citation.cfm?id=2631846.2631876&coll=DL&dl=ACM&CFID=531190582&CFTOKEN=89209035
citation:   Tschaikowski, Max and Tribastone, Mirco  Insensitivity to service-time distributions for fluid queueing models.  In: 7th International Conference on Performance Evaluation Methodologies and Tools, December 10–12, 2013, Turin, Italy pp. 273-281.  ISBN 978-1-936968-48-0.      (2013)