Long Term Dependences and Heavy Tails in Traffics and Queues Generated by Memoriless on/off Sources in Series - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports (Research Report) Year : 1998

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

Philippe Jacquet

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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Dates and versions

inria-00073168 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00073168 , version 1

Cite

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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