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Transient solution of the M/M/c queue with balking and reneging
Journal article   Open access  Peer reviewed

Transient solution of the M/M/c queue with balking and reneging

R.O. Al-Seedy, A.A. El-Sherbiny, S.A. El-Shehawy and S.I. Ammar
Computers & mathematics with applications (1987), Vol.57(8), pp.1280-1285
01/04/2009
DOI: https://doi.org/10.1016/j.camwa.2009.01.017

Abstract

Generating functions M/M/c queue Modified Bessel functions Time dependent queue Transient probabilities
This paper presents an analysis for the M/M/c queue with balking and reneging. It is assumed that arriving customers balk with a fixed probability and renege according to a negative exponential distribution. The generating function technique will be used to obtain the transient solution of system which results in a simple differential equation. Based on the properties of Bessel functions in the solution of this differential equation the probabilities can be extracted in a direct way.
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https://doi.org/10.1016/j.camwa.2009.01.017View
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