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The asymptotic behavior o queues with time-varying arrival rates

Published online by Cambridge University Press:  14 July 2016

Daniel P. Heyman  and
Ward Whitt
Daniel P. Heyman*
Affiliation:
Bell Laboratories
Ward Whitt*
Affiliation:
Bell Laboratories
*
∗ Postal address: Bell Laboratories, Crawfords Corner Road, Holmdel, NJ 07733, U.S.A.
∗ Postal address: Bell Laboratories, Crawfords Corner Road, Holmdel, NJ 07733, U.S.A.
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Abstract

This paper discusses the asymptotic behavior of the Mt/G/c queue having a Poisson arrival process with a general deterministic intensity. Since traditional equilibrium does not always exist, other notions of asymptotic stability are introduced and investigated. For the periodic case, limit theorems are proved complementing Harrison and Lemoine (1977) and Lemoine (1981).

Keywords

PERIODIC QUEUENON-STATIONARY QUEUEMULTISERVER QUEUEPERIODIC POISSON PROCESSREGENERATIVE PROCESSWAITING TIME
Type
Research Papers
Information
Journal of Applied Probability , Volume 21 , Issue 1 , March 1984 , pp. 143 - 156
Copyright
Copyright © Applied Probability Trust 1984 

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