Some further properties of the busy period of an M/G/∞ queue

Some further properties of the busy period of an M/G/∞ queue

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Article ID: iaor20011062
Country: Slovakia
Volume: 4
Issue: 4
Start Page Number: 251
End Page Number: 278
Publication Date: Jan 1996
Journal: Central European Journal of Operations Research
Authors: ,
Keywords: M/G/c queues
Abstract:

Sufficient conditions are given to deduce the tail of a service time distribution which leads to a specific tail for the busy period distribution. The exact busy period distribution is obtained for two particular service time distributions. When the mean service time is large enough and the arrival rate is fixed, it is shown a tendency of the busy period to be exponentially distributed. A numerical study is provided, which supports the exponential tendency. Bounds for the busy period nth moments are provided. The renewal process related to the busy period is studied.

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