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math.PR2010★ 20 cited
On the rate of convergence to stationarity of the M/M/N queue in the Halfin-Whitt regime
David Gamarnik, David A. Goldberg
We prove several results about the rate of convergence to stationarity, that is, the spectral gap, for the M/M/n queue in the Halfin-Whitt regime. We identify the limiting rate of…
cond-mat.stat-mech2010★ 17 cited
Non-Equilibrium Statistical Physics of Currents in Queuing Networks
Vladimir Y. Chernyak, Michael Chertkov, David A. Goldberg +1
We consider a stable open queuing network as a steady non-equilibrium system of interacting particles. The network is completely specified by its underlying graphical structure, ty…