34 citations · 210 across the 40 of their papers we have counts for
20 papers · 1 filter
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…
A two-station queue with dependent preparation and service times
Maria Vlasiou, Ivo J. B. F. Adan, Onno J. Boxma
We discuss a single-server multi-station alternating queue where the preparation times and the service times are auto- and cross-correlated. We examine two cases. In the first case…
On queues with service and interarrival times depending on waiting times
Onno J. Boxma, Maria Vlasiou
We consider an extension of the standard G/G/1 queue, described by the equation , where and .…
An alternating service problem
Maria Vlasiou, Ivo J. B. F. Adan
We consider a system consisting of a server alternating between two service points. At both service points there is an infinite queue of customers that have to undergo a preparatio…
A Lindley-type equation arising from a carousel problem
Maria Vlasiou, Ivo J. B. F. Adan, Jaap Wessels
In this paper we consider a system with two carousels operated by one picker. The items to be picked are randomly located on the carousels and the pick times follow a phase-type di…
Exact solution to a Lindley-type equation on a bounded support
Maria Vlasiou, Ivo J. B. F. Adan
We derive the limiting waiting-time distribution of a model described by the Lindley-type equation , where has a polynomial distribution. This exa…
A non-increasing Lindley-type equation
Maria Vlasiou
In this paper we study the Lindley-type equation . Its main characteristic is that it is a non-increasing monotone function in its main argument . Our ma…