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Delay in polling systems with large switch-over times

Part of: Special processes Operations research and management science

Published online by Cambridge University Press:  14 July 2016

R. D. van der Mei
R. D. van der Mei*
Affiliation:
AT&T Lab
*
∗Postal address: Network Design and Performance Analysis Department, AT&T Labs, Advanced Technologies, 200 Laurel Avenue, Middletown, NJ 07748, USA. Email address: [email protected]
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Abstract

We study the delay in cyclic polling systems with mixtures of gated and exhaustive service, and with deterministic switch-over times. We show that, under proper scalings, the waiting-time distribution at each of the queues converges to a uniform distribution over a known interval when the switch-over times tend to infinity.

Keywords

polling systemsswitch-over timesdelay distributionasymptotics

MSC classification

Primary: 60K25: Queueing theory
Secondary: 90B22: Queues and service
Type
Research Papers
Information
Journal of Applied Probability , Volume 36 , Issue 1 , March 1999 , pp. 232 - 243
Copyright
Copyright © Applied Probability Trust 1999 

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