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A perturbation method for solving some queues with processor sharing discipline

Published online by Cambridge University Press:  14 July 2016

Bhaskar Sengupta
Bhaskar Sengupta*
Affiliation:
AT&T Bell Laboratories
*
∗Postal address: HO 3L-309, AT&T Bell Laboratories, Holmdel, NJ 07733, USA.
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Abstract

In this paper, we present a perturbation method of solving a second-order difference equation with variable coefficients with some additional assumptions. This method can be used to devise an algorithmic solution for the moments of sojourn times in some processor sharing queues. In particular, we examine three queues. The first has exponential service and a fairly general interrupted arrival mechanism. The second is a cyclic queue. The third is a model for a computer system in which finite and infinite sources interact.

Keywords

SOJOURN TIMESCOMMUNICATIONS SYSTEMS
Type
Short Communications
Information
Journal of Applied Probability , Volume 26 , Issue 1 , March 1989 , pp. 209 - 214
Copyright
Copyright © Applied Probability Trust 1989 

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