Mathematical modelling of the Internet

Frank Kelly

Modern communication networks are able to respond to randomly fluctuating demands and failures by allowing buffers to fill, by rerouting traffic and by reallocating resources. They are able to do this so well that, in many respects, large-scale networks appear as coherent, almost intelligent, organisms. The design and control of such networks present challenges of a mathematical, engineering and economic nature.

This talk will describe how mathematical models are being used to address current issues concerning the stability and fairness of rate control algorithms for the Internet and for developing broadband networks.


Ramesh Johari's article Mathematical modeling and control of Internet congestion
SIAM News, volume 33, March 2000.