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.
https://hal.inria.fr/inria-00073168 Contributor : Rapport de Recherche InriaConnect in order to contact the contributor Submitted on : Wednesday, May 24, 2006 - 12:02:25 PM Last modification on : Thursday, February 3, 2022 - 11:18:24 AM Long-term archiving on: : Sunday, April 4, 2010 - 11:36:49 PM
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⟩