A Queueing System for Modeling a File Sharing Principle

dc.creatorSimatos, Florian
dc.creatorRobert, Philippe
dc.creatorGuillemin, Fabrice
dc.date2008-03-11
dc.date.accessioned2026-07-07T12:17:34Z
dc.date.available2026-07-07T12:17:34Z
dc.descriptionWe investigate in this paper the performance of a simple file sharing principle. For this purpose, we consider a system composed of N peers becoming active at exponential random times; the system is initiated with only one server offering the desired file and the other peers after becoming active try to download it. Once the file has been downloaded by a peer, this one immediately becomes a server. To investigate the transient behavior of this file sharing system, we study the instant when the system shifts from a congested state where all servers available are saturated by incoming demands to a state where a growing number of servers are idle. In spite of its apparent simplicity, this queueing model (with a random number of servers) turns out to be quite difficult to analyze. A formulation in terms of an urn and ball model is proposed and corresponding scaling results are derived. These asymptotic results are then compared against simulations.
dc.identifierhttps://arxiv.org/abs/0803.1610
dc.identifierhttp://arxiv.org/abs/0803.1610
dc.identifierDans ACM Sigmetrics (2008)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212117
dc.subjectNetworking and Internet Architecture
dc.titleA Queueing System for Modeling a File Sharing Principle
dc.typetext

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