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Long Term Dependences and Heavy Tails in Traffics and Queues Generated by Memoriless on/off Sources in Series

Philippe Jacquet 1
1 HIPERCOM - High performance communication
Inria Paris-Rocquencourt, UP11 - Université Paris-Sud - Paris 11, Inria Saclay - Ile de France, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR
Abstract : This repport presents the analytical study of a surprising case where a denumerable set of independent and memoriless on/off sources in series creates a traffic with long term dependences. We use Mellin transform to characterize the asymptotic behavior of those dependences. We use similar tools to analyse the queue size of a server subject to these sources in series. This architecture roughly models a shared network like internet. We show that the queue size distribution has a heavy tail. These results agree with the recent experimental datas collected on Web activity.
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https://hal.inria.fr/inria-00073168
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, May 24, 2006 - 12:02:25 PM
Last modification on : Wednesday, September 16, 2020 - 5:07:31 PM
Long-term archiving on: : Sunday, April 4, 2010 - 11:36:49 PM

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  • HAL Id : inria-00073168, version 1

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Philippe Jacquet. Long Term Dependences and Heavy Tails in Traffics and Queues Generated by Memoriless on/off Sources in Series. [Research Report] RR-3516, INRIA. 1998. ⟨inria-00073168⟩

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