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The actual waiting time of each customer in a GI/G/1 queue

Published online by Cambridge University Press:  14 July 2016

Do Le Minh
Do Le Minh*
Affiliation:
The New South Wales Institute of Technology
*
∗Postal address: School of Mathematical Sciences, The New South Wales Institute of Technology, P.O. Box 123, Broadway, N.S.W. 2007, Australia.
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Abstract

This paper studies a generalization of the GI/G/1 queueing system in which the inter-arrival times are not necessarily identically distributed and there is a random set-up time for customers who arrive when the server is idle. A recursive scheme is derived to obtain the distribution of the actual waiting time of each customer in the system.

Keywords

QUEUEINGDISCRETE TIMEGI/G/1SET-UP TIMESNON-IDENTICAL INTER-ARRIVAL TIMESIDLENESS PROBABILITIESACTUAL WAITING TIMES
Type
Short Communications
Information
Journal of Applied Probability , Volume 16 , Issue 4 , December 1979 , pp. 910 - 916
Copyright
Copyright © Applied Probability Trust 1979 

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References

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