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The busy period of order n in the GI/D/∞ queue

Published online by Cambridge University Press:  14 July 2016

A. Dvurečenskij*
Affiliation:
JINR, Dubna
*
Postal address: Joint Institute for Nuclear Research/LCTA, Head Post Office, P.O. Box 79, 101000 Moscow, USSR.

Abstract

The busy period of the GI/D/∞ queue is determined as the time when at least one customer is served. Let v be the number of customers served during this period. The busy period of order n is defined as a busy period for which vn. In this paper we derive the exact distributions, integral equations, characteristic functions and all moments of those periods. Finally, some properties of the idle periods of order n are established.

Type
Short Communications
Copyright
Copyright © Applied Probability Trust 1984 

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Footnotes

Permanent address: Institute of Measurements and Measuring Technique SAS, 885 27, Bratislava, Czechoslovakia.

References

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