On the transient analysis of the MX/M/∞ queue

On the transient analysis of the MX/M/∞ queue

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Article ID: iaor20023059
Country: Netherlands
Volume: 28
Issue: 3
Start Page Number: 137
End Page Number: 142
Publication Date: Apr 2001
Journal: Operations Research Letters
Authors: ,
Keywords: M/M/ queues
Abstract:

In this note, it is demonstrated using generating function or level crossing arguments that the transient distribution of the number in the system in the MX/M/∞ queue may be computed in a straightforward manner for a wide variety of bulk arrival distributions. The truncated negative binomial distribution is used to illustrate the approach.

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