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Rapport (Rapport De Recherche) Année : 2005

Equilibria of a Class of Transport Equations Arising in Congestion Control

Résumé

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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Dates et versions

inria-00070357 , version 1 (19-05-2006)

Identifiants

  • HAL Id : inria-00070357 , version 1

Citer

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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