The Annals of Mathematical Statistics

Queues Subject to Service Interruption

Julian Keilson

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A treatment is given of the M/G/1 queue with interruptions of Poisson incidence occasioned either by server breakdown or the arrival of customers with higher priority. Interruption times and priority service times have arbitrary distribution. After pre-emptive interruption, ordinary service is either repeated or resumed. The time dependent behavior of the system is discussed in a complete state space and the joint density in all system variables of this space is constructed systematically from the densities associated with a set of simpler first-passage problems. Equilibrium distributions are available as limiting forms and server busy period distributions obtained.

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Ann. Math. Statist., Volume 33, Number 4 (1962), 1314-1322.

First available in Project Euclid: 27 April 2007

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Keilson, Julian. Queues Subject to Service Interruption. Ann. Math. Statist. 33 (1962), no. 4, 1314--1322. doi:10.1214/aoms/1177704364.

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