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A perpetuity and the M/M/∞ ranked server system

Part of: Special processes

Published online by Cambridge University Press:  14 July 2016

J. Preater
J. Preater*
Affiliation:
University of Keele
*
∗Postal address: Department of Mathematics, University of Keele, Keele, Staffordshire, ST5 5BG, UK.
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Abstract

We relate the equilibrium size of an M/M/8 type queue having an intermittent arrival stream to a perpetuity, the solution of a random difference equation. One consequence is a classical result for ranked server systems, previously obtained by generating function methods.

Keywords

M/M/8 QUEUERANKED SERVERSRANDOM DIFFERENCE EQUATIONS

MSC classification

Primary: 60K25: Queueing theory
Type
Research Article
Information
Journal of Applied Probability , Volume 34 , Issue 2 , June 1997 , pp. 508 - 513
Copyright
Copyright © Applied Probability Trust 1997 

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