21 citations · 109 across the 20 of their papers we have counts for
20 papers
Extreme values for the waiting time in large fork-join queues
Dennis Schol, Maria Vlasiou, Bert Zwart
We prove that the scaled maximum steady-state waiting time and the scaled maximum steady-state queue length among -queues in the -server fork-join queue, converge t…
Tail Asymptotics for the Delay in a Brownian Fork-Join Queue
Dennis Schol, Maria Vlasiou, Bert Zwart
In this paper, we study the tail behavior of as , with i.i.d. Brownian motions and an inde…
Asymptotic analysis of Emden-Fowler type equation with an application to power flow models
M. H. M. Christianen, A. J. E. M. Janssen, M. Vlasiou +1
Emden-Fowler type equations are nonlinear differential equations that appear in many fields such as mathematical physics, astrophysics and chemistry. In this paper, we perform an a…
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…
Marginal queue length approximations for a two-layered network with correlated queues
J. L. Dorsman, O. J. Boxma, M. Vlasiou
We consider an extension of the classical machine-repair model, where we assume that the machines, apart from receiving service from the repairman, also serve queues of products. T…
Insensitivity of Proportional Fairness in Critically Loaded Bandwidth Sharing Networks
Maria Vlasiou, Jiheng Zhang, Bert Zwart
Proportional fairness is a popular service allocation mechanism to describe and analyze the performance of data networks at flow level. Recently, several authors have shown that th…