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On a problem of the busy-period determination in queues with infinitely many servers

Published online by Cambridge University Press:  14 July 2016

A. Dvurečenskij ,
L. A. Kuljukina  and
G. A. Ososkov
A. Dvurečenskij*
Affiliation:
JINR, Dubna
L. A. Kuljukina*
Affiliation:
JINR, Dubna
G. A. Ososkov*
Affiliation:
JINR, Dubna
*
Postal address for all authors: Joint Institute for Nuclear Research/LCTA, Head Post Office, P.O. Box 79, 101000 Moscow, USSR.
Postal address for all authors: Joint Institute for Nuclear Research/LCTA, Head Post Office, P.O. Box 79, 101000 Moscow, USSR.
Postal address for all authors: Joint Institute for Nuclear Research/LCTA, Head Post Office, P.O. Box 79, 101000 Moscow, USSR.
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Abstract

In this paper the probability distribution of the discrete busy period of the 〈M, 1, GI/∞, 1〉 queue and some of its stability properties are given.

Keywords

〈M, 1, GI/∞, 1〉QUEUEBUSY PERIODIDLE PERIODWEAK CONVERGENCESTABILITY
Type
Short Communications
Information
Journal of Applied Probability , Volume 21 , Issue 1 , March 1984 , pp. 201 - 206
Copyright
Copyright © Applied Probability Trust 1984 

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Footnotes

∗

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

References

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