[e2e] link between Kelly's control and TCP's AIMD
djw1005 at cam.ac.uk
Wed Feb 16 17:31:08 PST 2005
Roy Xu wrote:
> I'm looking for a pointer to literatures that link the
> TCP's (discrete) AIMD to Kelly's (continuous) control formulation.
Kelly's continuous-time formulation uses a differential equation model
(also called a fluid model) for TCP. You should look at the literature
which describes this fluid model, starting with
"A Fluid-based Analysis of a Network of AQM Routers Supporting TCP Flows
with an Application to RED", V. Misra, W. Gong, D. Towsley, SIGCOMM 2000.
There are many links provided at
I have collected some further links at
Look especially at these papers:
"Using partial differential equations to model TCP mice and elephants in
large IP networks." Marco Ajmone Marsan, Michele Gatetto, Paolo Giaccone,
Emilio Leonardi, Enrico Schiattarella, Alessandro Tarello.
"A mean-field model for multiple TCP connections through a buffer
implementing RED", Francois Baccelli, David R. McDonald, Julien Reynier.
Performance Evaluation, 2002;
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