Queueing networks with a single shared server: light and heavy traffic

M.A.A. Boon, R.D. Mei, van der, E.M.M. Winands

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

25 Citaten (Scopus)

Samenvatting

We study a queueing network with a single shared server, that serves the queues in a cyclic order according to the gated service discipline. External customers arrive at the queues according to independent Poisson processes. After completing service, a customer either leaves the system or is routed to another queue. This model is very generic and finds many applications in computer systems, communication networks, manufacturing systems and robotics. Special cases of the introduced network include well-known polling models and tandem queues. We derive exact limits of the mean delays under both heavy-traffic and light-traffic conditions. By interpolating between these asymptotic regimes, we develop simple closed-form approximations for the mean delays for arbitrary loads.
Originele taal-2Engels
TitelIFIP PERFORMANCE 2011 (29th International Symposium on Computer Performance, Modeling, Measurement and Evaluation, Amsterdam, The Netherlands, October 18-20, 2011)
Pagina's44-46
DOI's
StatusGepubliceerd - 2011

Publicatie series

NaamACM SIGMETRICS Performance Evaluation Review
Volume39(2)
ISSN van geprinte versie0163-5999

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