On the number of refusals in a busy period

On the number of refusals in a busy period

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Article ID: iaor19993177
Country: United States
Volume: 13
Issue: 1
Start Page Number: 71
End Page Number: 74
Publication Date: Jan 1999
Journal: Probability in the Engineering and Informational Sciences
Authors:
Keywords: M/G/1 queues, GI/M/1 queues
Abstract:

Formulas are derived for moments of the number of refused customers in a busy period for the M/GI/1/n and the GI/M/1/n queuing systems. As an interesting special case for the M/GI/1/n system, we note that the mean number is 1 when the mean interarrival time equals the mean service time. This provides a more direct argument for a result given in Abramov.

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