HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation

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 - ENS Paris, 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.
Document type :
Complete list of metadata

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


  • HAL Id : inria-00070357, version 1



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⟩



Record views


Files downloads