June  8, 2023

The Laboratory for Research in Statistics and Probability
Carleton University - University of Ottawa,

The Fields Institute for Research in Mathematical Sciences

NORTEL Networks

Present a Special Lecture

as part of the Fields Institute

Workshop on Analysis and Simulation of Communication Networks

Rate Control in Communication Networks
by Frank P. Kelly, Cambridge University

Friday, November 6, 1998 NORTEL Networks, Carling Auditorium


This talk will discuss the stability and fairness of rate control algorithms for communication networks. Algorithms that provide natural generalizations to large-scale networks of simple additive increase/multi-plicative decrease schemes are shown to be stable about a system optimum characterized by a proportional fairness criterion. Stability is established by showing that, with an appropriate formulation of an overall optimization problem, the network's implicit objective function provides a Lyapunov function for the dynamical system defined by the rate control algorithm. The network's optimization problem may be cast in primal or dual form: this leads to two classes of algorithm, which may be interpreted in terms of either congestion indication feedback signals or explicit rates based on shadow prices. Both classes of algorithm provide natural implementations of proportionally fair pricing, and can be viewed as "charge-aware" developments of, respectively, Jacobson's TCP algorithm and ATM available bit rate algorithms.

As an application of the theory, the talk will conclude with a discussion of ways in which the transmission control protocol of the Internet may evolve to support heterogeneous applications. The claim will be made that by appropriately marking packets at overloaded resources and by charging a fixed small amount for each mark received, end-nodes are provided with the necessary information and the correct incentive to use the network efficiently.

This talk is based on joint work with Richard Gibbens, Aman Maulloo and David Tan

Background papers

1. "Rate control in communication networks: shadow prices, proportional fairness and stability" (F.P. Kelly, A.K. Maulloo and D.K.H. Tan) Journal of the Operational Research Society 49 (1998), 237-252.

2. "Resource pricing and the evolution of congestion control" (R.J. Gibbens and F. P. Kelly).


NORTEL Networks
Main Auditorium
3500 Carling Avenue
(Main Lab #5 on Moody Drive just north of the Queensway)

Transportation to NORTEL

A school bus has been hired to take participants from Carleton University and the University of Ottawa to Nortel.

Carleton University Pick-up Ottawa University Pick-up
Stacie Building (Chemistry) 585 King Edward (Mathematics Building)
Time of pick-up: 8:10 a.m. Time of Pick-up: 8:25 a.m.
(The bus will leave NORTEL around 12:15 p.m.)