M/M/∞ transience revisited

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Article ID:	iaor1999440
Country:	United Kingdom
Volume:	34
Issue:	4
Start Page Number:	1061
End Page Number:	1067
Publication Date:	Dec 1997
Journal:	Journal of Applied Probability
Authors:	Preater J.
Keywords:	M/M/ queues

Abstract:

We take a fresh look at some transient characteristics of an M/M/∞ queue, studied previously by Guillemin and Simonian using delicate complex analysis. Along the way we obtain the Laplace transform of the joint distribution of the duration, number of arrivals and swept area associated with a busy period of an M/M/1 queue.

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