Name
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. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1007/s11134-006-9001-x | Queueing Syst. |
Keywords | Field | DocType |
Density,Stationary solutions,ODE,Uniqueness,PDE,Congestion control | Differential equation,Uniqueness,Mathematical optimization,Stochastic process,Flow control (data),Stochastic modelling,Network congestion,Poisson point process,Mathematics,Direct proof | Journal |
Volume | Issue | ISSN |
55 | 1 | 0257-0130 |
Citations | PageRank | References |
5 | 0.62 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Francois Baccelli | 1 | 812 | 86.80 |
| Ki Baek Kim | 2 | 86 | 9.09 |
| David R. McDonald | 3 | 74 | 11.42 |