Queueing Systems
0257-0130
1572-9443
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.
2019-04-10T21:40
https://scigraph.springernature.com/explorer/license/
http://link.springer.com/10.1007%2Fs11134-006-9001-x
false
1-8
2007-01-01
articles
en
research_article
2007-01
Equilibria of a class of transport equations arising in congestion control
Kim
Ki Baek
INRIA-ENS, Département d’Informatique, Ecole Normale Supérieure, 45, rue d’Ulm F-75230, Paris cedex 05, France
Statistics
10.1007/s11134-006-9001-x
doi
pub.1008094871
dimensions_id
Mathematical Sciences
INRIA-ENS, Département d’Informatique, Ecole Normale Supérieure, 45, rue d’Ulm F-75230 Paris cedex 05, France (He moved to 442-600, Telecommunication Network, Samsung Electronics Co., LTD, Suwon, Korea since Sep., 2005)., Paris cedex 05, France
55
readcube_id
2690849ad6fa124614702bca79b5e2abcc4c511fcf86c20c83346a80e688c686
David R.
McDonald
Baccelli
Francois
Department of Mathematics and Statistics, University of Ottawa, 585 King Edward Avenue, Research supported in part by NSERC grant A4551, K1N6N5, Ottawa, Ontario, Canada
University of Ottawa
Springer Nature - SN SciGraph project
1