Equilibria of a class of transport equations arising in congestion control View Full Text


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Article Info

DATE

2007-01

AUTHORS

Francois Baccelli, Ki Baek Kim, David R. McDonald

ABSTRACT

This paper studies a class of transport equations arising from stochastic models in congestion control. This class contains two cases of loss models as particular cases: the rate-independent case where the packet loss rate is independent of the throughput of the flow and the rate-dependent case where it depends on it. This class of equations covers both the case of persistent and of non-persistent flows. For the first time, we give a direct proof of the fact that there is a unique density solving the associated differential equation. This density and its mean value are provided as closed form expressions. More... »

PAGES

1-8

Journal

TITLE

Queueing Systems

ISSUE

1

VOLUME

55

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11134-006-9001-x

DOI

http://dx.doi.org/10.1007/s11134-006-9001-x

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1008094871


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