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Perturbation analysis of a phase-type queue with weakly correlated arrivals

Published online by Cambridge University Press:  01 July 2016

Guy Latouche
Guy Latouche*
Affiliation:
Université Libre de Bruxelles
*
∗Postal address: Laboratoire d'informatique Théorique, Université Libre de Bruxelles, Campus Plaine CP 212, Boulevard du Triomphe, B-1050 Bruxelles, Belgium.
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Abstract

We consider a queue which is obtained by slightly modifying the M/PH/1 queue, so that weak correlations are introduced among the interarrival times. We show how the stationary probability distribution may be studied by a perturbation analysis.

Keywords

SINGLE-SERVER QUEUEPHASE-TYPE DISTRIBUTIONSCORRELATED ARRIVALSPERTURBATION ANALYSISMATRIX-GEOMETRIC SOLUTIONS
Type
Research Article
Information
Advances in Applied Probability , Volume 20 , Issue 4 , December 1988 , pp. 896 - 912
Copyright
Copyright © Applied Probability Trust 1988 

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References

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