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math.PR2019
Stability and Instability of the MaxWeight Policy
Maury Bramson, Bernardo D'Auria, Neil Walton
Consider a switched queueing network with general routing among its queues. The MaxWeight policy assigns available service by maximizing the objective function amo…
math.PR2018
Stein's Method for the Single Server Queue in Heavy Traffic
Robert E. Gaunt, Neil Walton
Following recent developments in the application of Stein's method in queueing theory, this paper is intended to be a short treatment showing how Stein's method can be developed an…
math.PR2011
Flow level convergence and insensitivity for multi-class queueing networks
Neil Stuart Walton
We consider a multi-class queueing network as a model of packet transfer in a communication network. We define a second stochastic model as a model document transfer in a communica…