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Equilibria of a Class of Transport Equations Arising in Congestion Control
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.
https://hal.inria.fr/inria-00070357
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Submitted on : Friday, May 19, 2006 - 8:14:45 PM
Last modification on : Thursday, March 17, 2022 - 10:08:32 AM
Long-term archiving on: : Sunday, April 4, 2010 - 9:01:38 PM
Contributor : Rapport de Recherche Inria Connect in order to contact the contributor
Submitted on : Friday, May 19, 2006 - 8:14:45 PM
Last modification on : Thursday, March 17, 2022 - 10:08:32 AM
Long-term archiving on: : Sunday, April 4, 2010 - 9:01:38 PM