Resource pooling in congested networks: proportional fairness and product form


References:

Multi-Path TCP: a joint congestion control and routing scheme to exploit path diversity on the Internet
H. Han, S. Shakkottai, C.V. Hollot, R. Srikant and D. Towsley
IEEE/ACM Transactions on Networking 14 (2006) 1260-1271.

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

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.

Combined multipath routing and congestion control: a robust Internet architecture
Peter Key, Laurent Massoulié and Don Towsley

Bandwidth sharing and admission control for elastic traffic
L. Massoulié and J.W. Roberts
Telecommunication Systems 15 (2000) 185-201.

Network Optimization and Control
Srinivas Shakkottai and R. Srikant
Foundations and Trends in Networking (2007) NoW Publishers.

Proportional fairness and its relationship with multi-class queueing networks
N.S. Walton

The resource pooling principle
Damon Wischik, Mark Handley and Marcelo Bagnulo Braun
ACM SIGCOMM Computer Communication Review 38(5) 2008, 47-52.