34 citations · 210 across the 40 of their papers we have counts for
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math.PR2017★ 1 cited
Speed of convergence to the quasi-stationary distribution for Lévy input fluid queues
Z. Palmowski, M. Vlasiou
In this note we prove that the speed of convergence of the workload of a Lévy-driven queue to the quasi-stationary distribution is of order . We identify also the Laplace tran…
math.PR2017
Heavy-traffic approximations for a layered network with limited resources
Angelos Aveklouris, Maria Vlasiou, Jiheng Zhang +1
Motivated by a web-server model, we present a queueing network consisting of two layers. The first layer incorporates the arrival of customers at a network of two single-server nod…