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Queues with moving average service times

Published online by Cambridge University Press:  14 July 2016

C. Pearce
C. Pearce*
Affiliation:
University of Sheffield
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Abstract

A model for the service time structure in the single server queue is given embodying correlations between contiguous and near-contiguous service times. A number of results are derived in the case of Poisson arrivals both for equilibrium and the transient state. In particular, Kendall's (equilibrium) result P (a departure leaves the queue empty) = 1 — (mean service time)/(mean inter-arrival time) is found still to hold good. The effect of the correlation on the mean and variance of the equilibrium queue length distribution is examined in a simple case.

Type
Research Papers
Information
Journal of Applied Probability , Volume 4 , Issue 3 , November 1967 , pp. 553 - 570
Copyright
Copyright © Applied Probability Trust 

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References

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