Massoulie and Roberts have introduced and studied a flow level model of Internet congestion control, that represents the randomly varying number of flows present in a network where bandwidth is dynamically shared between elastic document transfers.
In this talk the formalism of balanced fluid models and Brownian networks will be used to explore the behaviour of the flow level model in heavy traffic. Particular interest attaches to the phenomenon of entrainment, whereby congestion at some resources may prevent other resources from working at their full capacity.
Joint work with Ruth Williams.
Some references:
The flow level Internet model was introduced in
Bandwidth sharing and admission control for elastic
traffic
J. Roberts and L. Massoulie
Weighted alpha-fair allocations were introduced in
Fair end-to-end window-based congestion control
J. Mo and J. Walrand.
Positive recurrence of the
Markov process is established
by
Stability and performance
analysis of networks supporting
elastic
services
Gustavo De Veciana, Tae-Jin
Lee and Takis
Konstantopoulos
and
Impact of fairness on Internet performance
Thomas Bonald
and Laurent
Massoulie.
The example of
what goes wrong
without fairness
comes from the
latter
paper.