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Busy-period analysis of a correlated queue with exponential demand and service

Published online by Cambridge University Press:  14 July 2016

Christos Langaris
Christos Langaris*
Affiliation:
University of Ioannina
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Abstract

In this paper we investigate the server's busy period in a single-server queueing situation in which the interarrival interval T preceding the arrival of a customer and his service time S are assumed correlated. A closed-form expression is obtained for the Laplace transform bn(z) of the joint probability and probability density function of the busy period duration and the number of customers served in it. Some numerical values are given showing the effect of correlation between T and S.

Keywords

SINGLE-SERVER QUEUE
Type
Research Papers
Information
Journal of Applied Probability , Volume 24 , Issue 2 , June 1987 , pp. 476 - 485
Copyright
Copyright © Applied Probability Trust 1987 

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References

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