Models of network routing and resource allocation

Frank Kelly

23rd European Conference on Operational Research,
Bonn, July 2009.



Rate control in communication networks: shadow prices, proportional fairness and stability.
Frank Kelly, Aman Maulloo and David Tan
Journal of the Operational Research Society 49 (1998) 237-252.

Stability of end-to-end algorithms for joint routing and rate control.
Frank Kelly and Thomas Voice
Computer Communication Review 35:2 (2005) 5-12.

State space collapse and diffusion approximation for a network operating under a proportional fair sharing policy.
W. Kang, F. P. Kelly, N. H. Lee and R. J. Williams
Annals of Applied Probability, to appear.