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Queue length for the Ek/G/1 queue by finite waiting room

Published online by Cambridge University Press:  01 July 2016

A. L. Truslove
A. L. Truslove*
Affiliation:
Monash University, Clayton, Australia
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Abstract

For the Ek/G/1 queue with finite waiting room the phase technique is used to analyse the Markov chain imbedded in the queueing process at successive instants at which customers complete service, and the distribution of queue length is obtained. The limit as the size of the waiting room becomes infinite is found.

Keywords

FINITE WAITING ROOMQUEUE LENGTHERLANG INPUTPHASE TECHNIQUEMARKOV CHAIN
Type
Research Article
Information
Advances in Applied Probability , Volume 7 , Issue 1 , March 1975 , pp. 215 - 226
Copyright
Copyright © Applied Probability Trust 1975 

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References

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Takács, L. (1961) Transient behaviour of single server queueing processes with Erlang input. Trans. Amer. Math. Soc. 100, 1–28.CrossRefGoogle Scholar