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The single-server queue with random service output

Published online by Cambridge University Press:  14 July 2016

O. J. Boxma
O. J. Boxma*
Affiliation:
Mathematical Institute, University of Utrecht
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Abstract

In this paper a problem arising in queueing and dam theory is studied. We shall consider a G/G*/1 queueing model, i.e., a G/G/1 queueing model of which the service process is a separable centered process with stationary independent increments. This is a generalisation of the well-known G/G/1 model with constant service rate.

Several results concerning the amount of work done by the server, the busy cycles etc., are derived, mainly using the well-known method of Pollaczek. Emphasis is laid on the similarities and dissimilarities between the results of the ‘classical’ G/G/1 model and the G/G*/1 model.

Keywords

QUEUEINGPROCESSES WITH STATIONARY INDEPENDENT INCREMENTSINFINITE DAMSPOLLACZEK INTEGRAL EQUATION
Type
Research Papers
Information
Journal of Applied Probability , Volume 12 , Issue 4 , December 1975 , pp. 763 - 778
Copyright
Copyright © Applied Probability Trust 1975 

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References

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