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Expected delay analysis of polling systems in heavy traffic

Part of:Operations research and management scienceSpecial processes

Published online by Cambridge University Press:  01 July 2016

R. D. van der Mei and
H. Levy
R. D. van der Mei*
Affiliation:
AT&T Labs
H. Levy*
Affiliation:
Tel-Aviv University
*
∗ Postal address: AT&T Labs, P.O. Box 3030, Holmdel, NJ 07733, USA. Email address: hanoch@math.tau.ac.il
∗∗ Postal address: Tel-Aviv University, Department of Computer Science, Tel Aviv, Israel.
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Abstract

We study the expected delay in a cyclic polling model with mixtures of exhaustive and gated service in heavy traffic. We obtain closed-form expressions for the mean delay under standard heavy-traffic scalings, providing new insights into the behaviour of polling systems in heavy traffic. The results lead to excellent approximations of the expected waiting times in practical heavy-load scenarios and moreover, lead to new results for optimizing the system performance with respect to the service disciplines.

Keywords

polling systemsheavy trafficexpected delayoptimization

MSC classification

Primary:60K25: Queueing theory
Secondary:90B22: Queues and service

Information

Type
General Applied Probability
Information
Advances in Applied Probability , Volume 30 , Issue 2 , June 1998, pp. 586 - 602
Copyright
Copyright © Applied Probability Trust 1998 

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