34 citations · 210 across the 40 of their papers we have counts for
33 papers · 1 filter
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…
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…
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…
Optimization of inventory and capacity in large-scale assembly systems using extreme-value theory
Mirjam S. Meijer, Dennis Schol, Willem van Jaarsveld +2
High-tech systems are typically produced in two stages: 1) Production of components using specialized equipment and staff; 2) System assembly/integration. Component production capa…
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…
Large fork-join queues with nearly deterministic arrival and service times
Dennis Schol, Maria Vlasiou, Bert Zwart
In this paper, we study an server fork-join queue with nearly deterministic arrival and service times. Specifically, we present a fluid limit for the maximum queue length as $N…
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…
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…
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…
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…
Corrected phase-type approximations of heavy-tailed queueing models in a Markovian environment
Eleni Vatamidou, Ivo J. B. F. Adan, Maria Vlasiou +1
We develop accurate approximations of the delay distribution of the MArP/G/1 queue that cap- ture the exact tail behavior and provide bounded relative errors. Motivated by statisti…
Corrected phase-type approximations for the workload of the MAP/G/1 queue with heavy-tailed service times
Eleni Vatamidou, Ivo J. B. F. Adan, Maria Vlasiou +1
In many applications, significant correlations between arrivals of load-generating events make the numerical evaluation of the load of a system a challenging problem. Here, we cons…
Corrected phase-type approximations of heavy-tailed queueing models in a Markovian environment
Eleni Vatamidou, Ivo J. B. F. Adan, Maria Vlasiou +1
Significant correlations between arrivals of load-generating events make the numerical evaluation of the workload of a system a challenging problem. In this paper, we construct hig…
Analytic properties of two-carousel systems
Ruben Bossier, Maria Vlasiou, Ivo J. B. F. Adan
We present analytic results for warehouse systems involving pairs of carousels. Specifically, for various picking strategies, we show that the sojourn time of the picker satisfies…
Separation of timescales in a two-layered network
Maria Vlasiou, Jiheng Zhang, Bert Zwart
We investigate a computer network consisting of two layers occurring in, for example, application servers. The first layer incorporates the arrival of jobs at a network of multi-se…
Corrected phase-type approximations of heavy-tailed risk models using perturbation analysis
Eleni Vatamidou, Ivo J. B. F. Adan, Maria Vlasiou +1
Numerical evaluation of performance measures in heavy-tailed risk models is an important and challenging problem. In this paper, we construct very accurate approximations of such p…
On the accuracy of phase-type approximations of heavy-tailed risk models
Eleni Vatamidou, Ivo J. B. F. Adan, Maria Vlasiou +1
Numerical evaluation of ruin probabilities in the classical risk model is an important problem. If claim sizes are heavy-tailed, then such evaluations are challenging. To overcome…
Regenerative processes
Maria Vlasiou
We review the theory of regenerative processes, which are processes that can be intuitively seen as comprising of i.i.d.\ cycles. Although we focus on the classical definition, we…
Renewal processes with costs and rewards
Maria Vlasiou
We review the theory of renewal reward processes, which describes renewal processes that have some cost or reward associated with each cycle. We present a new simplified proof of t…
A survey on performance analysis of warehouse carousel systems
Nelly Litvak, Maria Vlasiou
This paper gives an overview of recent research on the performance evaluation and design of carousel systems. We discuss picking strategies for problems involving one carousel, con…
Time-dependent behaviour of an alternating service queue
Maria Vlasiou, Bert Zwart
We consider a model describing the waiting time of a server alternating between two service points. This model is described by a Lindley-type equation. We are interested in the tim…
M/G/ polling systems with random visit times
Maria Vlasiou, Uri Yechiali
We consider a polling system where a group of an infinite number of servers visits sequentially a set of queues. When visited, each queue is attended for a random time. Arrivals at…