## Fairness and stability of end-to-end congestion control

Frank Kelly

In recent years the Internet has attracted the attention
of many theoreticians, eager to understand the remarkable
success of this diverse and complex artefact. A central
element of the design philosophy that shaped the Internet is
the end-to-end argument, and a key illustration of the argument
is provided by TCP's congestion avoidance algorithm, due to
Jacobson. Why does this algorithm work so well? How might,
or should, it evolve in the future? This talk reviews some of the
mathematical models that have been developed to help
address these questions.

Mathematical modelling of the Internet

Mathematics Unlimited - 2001 and Beyond,

editors B. Engquist and W. Schmid. Springer-Verlag, Berlin (2001),
685-702.

Fairness and stability of end-to-end congestion control