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On the GA/G/∞ queue

Published online by Cambridge University Press:  01 July 2016

Thomas Kuczek
Thomas Kuczek*
Affiliation:
Rutgers University
*
∗Postal address: Department of Statistics, P.O. Box 231, Cook College, Rutgers University, New Brunswick, NJ 08903, U.S.A.
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Abstract

A particular queue, the general arrival, general service-time, infinite-server queue (GA/G/∞), is introduced and certain of its properties studied. Motivated by a life situation in which the interarrival times for service converge to 0, a different sort of regularity condition (involving a tail property of random measures) is imposed on the arrival process to prove various limit theorems. There are similarities to heavy-traffic theory.

Keywords

GENERAL ARRIVALGENERAL SERVICE TIMEINFINITE SERVERRANDOM MEASUREHEAVY-TRAFFIC THEORY
Type
Research Article
Information
Advances in Applied Probability , Volume 15 , Issue 2 , June 1983 , pp. 444 - 459
Copyright
Copyright © Applied Probability Trust 1983 

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References

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