Proportional Fairness
(See also references collected here).
 Recent papers:
 Theoretical papers:
 Charging and
rate control for elastic traffic
European Transactions on Telecommunications, volume 8 (1997) pages 3337.
 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), 237252.

Mathematical models of rate control for communication networks
D.K.H. Tan.
Ph.D. thesis, University of Cambridge, 1999.

Resource pricing and the evolution of congestion control
R.J. Gibbens and F.P. Kelly
Automatica 35 (1999), 19691985.
 Differential QoS and pricing in networks:
where flowcontrol meets game theory
Peter Key and Derek McAuley.
IEE Proceedings Software 146 (1999), 3943.

Bandwidth sharing: objectives and algorithms
L. Massoulie and J. Roberts
INFOCOM (1999).

Bandwidth sharing and admission control for elastic traffic
J. Roberts and L. Massoulie

Some observations on fairness of bandwidth sharing
Dah Ming Chiu.

A note on the fairness of additive increase and multiplicative
decrease
P. Hurley, J. Y. Le Boudec, P. Thiran.
ITC16, Edinburgh, 1999.

Fair endtoend windowbased congestion control
Jeonghoon Mo and Jean Walrand.
 Chargesensitive TCP and rate
control in the Internet
Richard J. La and Venkat Anantharam. INFOCOM (2000)
See also Richard La's dissertation
Resource Allocation in the Internet

Global fairness of additiveincrease and multiplicativedecrease with
heterogeneous roundtrip times
M. Vojnovic, J. Y. Le Boudec and C. Boutremans.
INFOCOM (2000)
See also J. Y. Le Boudec's Rate
adaptation, congestion control and fairness: a tutorial
 Proportionally fair pricing: dynamics, stability and pathology.
J. E. Carroll and P.A. Kirkby.
IEE Proceedings Commun. Vol 147 (2000), 2331.

Impact of fairness on Internet performance
Thomas Bonald and Laurent Massoulie.
 Internet:

Differentiated endtoend Internet services using a weighted proportional
fair sharing TCP , or here
J. Crowcroft and Ph. Oechslin.
ACM Computer Communications Review 28(1998), 5367.

Experimental Results on Weighted Proportional TCP Throughput
Differentiation .
Panos Gevros and Jon Crowcroft.
Proceedings of the Fourth International Workshop on High
Performance Protocol Architectures.

Analysis of a method of differential TCP service.
Panos Gevros, Fulvio Risso and Peter Kirstein.

Congestion pricing for congestion avoidance
Peter Key, Derek McAuley, Paul Barham, Koenraad Laevens.

Lightweight policing and charging for packet networks
Bob Briscoe, Mike Rizzo, Jérôme Tassel, Kostas Damianakis.

Endtoend congestion control: utility functions, random losses
and ECN marks
S. Kunniyur and R. Srikant.
INFOCOM (2000).

A comparison of endtoend congestion control algorithms: the case of AIMD
and AIPD
KangWon Lee, TaeEun Kim and Vaduvur Bharghavan.
INFOCOM (2001).
 Wireless:
 ATM networks:
 Important related approaches:
 Background references:
 Talks
Frank Kelly
Statistical
Laboratory,
University of Cambridge