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ON THE NUMBER OF REFUSALS IN A BUSY PERIOD

Published online by Cambridge University Press:  01 January 1999

Erol A. Peköz
Erol A. Peköz
Affiliation:
Department of Finance, Marketing, and Decision Sciences, Western Washington University, Bellingham, WA 98225-9077
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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 queueing 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 [1].

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 13 , Issue 1 , January 1999 , pp. 71 - 74
Copyright
© 1999 Cambridge University Press

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