activity
20042018
most citedFluid model for a network operating under a fair bandwidth-sharing policy

144 citations · 324 across the 5 of their papers we have counts for

collaborators

7 papers

math.OC2018

Collective Effects and Performance of Algorithmic Electric Vehicle Charging Strategies

Miroslav Gardlo, Ľuboš Buzna, Rui Carvalho +2

We combine the power flow model with the proportionally fair optimization criterion to study the control of congestion within a distribution electric grid network. The form of the…

q-fin.TR2015

A Markov model of a limit order book: thresholds, recurrence, and trading strategies

Frank Kelly, Elena Yudovina

We analyze a tractable model of a limit order book on short time scales, where the dynamics are driven by stochastic fluctuations between supply and demand. We establish the existe…

math.OC2015★ 32 cited

Critical behaviour in charging of electric vehicles

Rui Carvalho, Lubos Buzna, Richard Gibbens +1

The increasing penetration of electric vehicles over the coming decades, taken together with the high cost to upgrade local distribution networks and consumer demand for home charg…

cs.GT2014

Efficient Advert Assignment

Frank Kelly, Peter Key, Neil Walton

We develop a framework for the analysis of large-scale Ad-auctions where adverts are assigned over a continuum of search types. For this pay-per-click market, we provide an efficie…

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…