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20172022
most citedSpeed of convergence to the quasi-stationary distribution for Lévy input fluid queues

1 citations · 3 across the 5 of their papers we have counts for

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math.PR20221 cited

Maximum waiting time in heavy-tailed fork-join queues

Dennis Schol, Maria Vlasiou, Bert Zwart

In this paper, we study the maximum waiting time in an -server fork-join queue with heavy-tailed services as . The service times are the p…

math.PR2020

A Fluid Model of an Electric Vehicle Charging Network

Angelos Aveklouris, Maria Vlasiou, Bert Zwart

We develop and analyze a measure-valued fluid model keeping track of parking and charging requirements of electric vehicles in a local distribution grid. We show how this model ari…

math.PR2019

Complete resource pooling of a load balancing policy for a network of battery swapping stations

Fiona Sloothaak, James R. Cruise, Seva Shneer +2

To reduce carbon emission in the transportation sector, there is currently a steady move taking place to an electrified transportation system. This brings about various issues for…

math.PR2018

Bounds and Limit Theorems for a Layered Queueing Model in Electric Vehicle Charging

Angelos Aveklouris, Maria Vlasiou, Bert Zwart

The rise of electric vehicles (EVs) is unstoppable due to factors such as the decreasing cost of batteries and various policy decisions. These vehicles need to be charged and will…

math.PR20171 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…