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An infinite-server queue subject to an extraneous phase process and related models

Published online by Cambridge University Press:  14 July 2016

P. Purdue  and
D. Linton
P. Purdue*
Affiliation:
University of Kentucky
D. Linton*
Affiliation:
University of Louisville
*
∗Postal address: Department of Statistics, University of Kentucky, Lexington, KY 40506, U.S.A.
∗∗Postal address: Department of Applied Mathematics, University of Louisville, Louisville, KY 40208, U.S.A.
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Abstract

We consider an infinite-server queueing system in an extraneous environment. Initially it is shown that the systems of interest can be decomposed into a two-stage system. The primary system is an infinite-server queue with many customer types subject to a clearing mechanism. The secondary system is a special type of bulk-arrival, infinite-server queue. We derive results for the primary and secondary systems separately and combine the results to find the mean steady-state behavior of the original system.

Keywords

SHOT NOISE PROCESSQUEUES IN RANDOM ENVIRONMENTBULK ARRIVALS
Type
Research Papers
Information
Journal of Applied Probability , Volume 18 , Issue 1 , March 1981 , pp. 236 - 244
Copyright
Copyright © Applied Probability Trust 

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