144 citations · 324 across the 5 of their papers we have counts for
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math.PR2010★ 8 cited
Heavy traffic on a controlled motorway
F. P. Kelly, R. J. Williams
Unlimited access to a motorway network can, in overloaded conditions, cause a loss of capacity. Ramp metering (signals on slip roads to control access to the motorway) can help avo…
math.PR2009★ 140 cited
State space collapse and diffusion approximation for a network operating under a fair bandwidth sharing policy
W. N. Kang, F. P. Kelly, N. H. Lee +1
We consider a connection-level model of Internet congestion control, introduced by Massoulié and Roberts [Telecommunication Systems 15 (2000) 185--201], that represents the randoml…
math.PR2004★ 144 cited
Fluid model for a network operating under a fair bandwidth-sharing policy
F. P. Kelly, R. J. Williams
We consider a model of Internet congestion control that represents the randomly varying number of flows present in a network where bandwidth is shared fairly between document trans…