 Frank Kelly

Frank Kelly works on probability theory, stochastic networks and the mathematical organization of shared resources. His research connects queueing theory with optimization: local decisions about service, admission or price can determine a network's aggregate performance. His institutional research record describes these interests.^[ref]

With Elena Yudovina, Kelly wrote Stochastic Networks by Frank Kelly and Elena Yudovina. Its treatment of loss networks shows how detailed balance can produce an explicit equilibrium occupancy law, while congestion control uses resource prices to coordinate competing demands. These are complementary uses of mathematics: predicting congestion and designing rules that improve it.^[ref]