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A Queuing System with a Branching Process Arrival Stream, the Case of Short-Range Dependence

Published online by Cambridge University Press:  27 July 2009

Teunis J. Ott
Teunis J. Ott
Affiliation:
Bellcore, 445 South Street, Morristown, New Jersey 07960
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Abstract

In a previous paper, we defined and studied a branching process input stream that can be used to model the organization of packets (in packetized communication) in messages. In this paper we derive a central result on the effect that such streams have on a packet switch (or queue) and further study one particular model (the case of so-called short-range dependence), where the distribution of the number of packets in a buffer can explicitly be found (albeit in the form of a transform). The solution to this particular model suggests an approximation for the average buffer content in the general case.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 7 , Issue 4 , October 1993 , pp. 515 - 528
Copyright
Copyright © Cambridge University Press 1993

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