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Equilibria of a Class of Transport Equations Arising in Congestion Control

François Baccelli 1 Ki Baek Kim 1 David R. Mcdonald
1 TREC - Theory of networks and communications
DI-ENS - Département d'informatique de l'École normale supérieure, Inria Paris-Rocquencourt
Abstract : This paper studies a class of transport equations arising from stochastic models in congestion control. This class contains two cases of loss point process models: the rate-independent Poisson case where the packet loss rate is independent of the throughput of the flow and the rate-dependent case where the point process of losses has an intensity which is a function of the instantaneous rate. This class of equations covers both the case of persistent and of non-persistent flows. We give a direct proof of the fact that there is a unique density solving the associated differential equation and we provide a closed form expression for this density and for its mean value.
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https://hal.inria.fr/inria-00070357
Contributor : Rapport de Recherche Inria <>
Submitted on : Friday, May 19, 2006 - 8:14:45 PM
Last modification on : Tuesday, September 22, 2020 - 3:50:13 AM
Long-term archiving on: : Sunday, April 4, 2010 - 9:01:38 PM

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  • HAL Id : inria-00070357, version 1

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François Baccelli, Ki Baek Kim, David R. Mcdonald. Equilibria of a Class of Transport Equations Arising in Congestion Control. [Research Report] RR-5653, INRIA. 2005, pp.19. ⟨inria-00070357⟩

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