activity
20082023
most citedOn queues with service and interarrival times depending on waiting times

34 citations · 210 across the 40 of their papers we have counts for

collaborators

41 papers

math.OC2023

Polyhedral restrictions of feasibility regions in optimal power flow for distribution networks

M. H. M. Christianen, S. van Kempen, M. Vlasiou +1

The optimal power flow (OPF) problem is one of the most fundamental problems in power system operations. The non-linear alternating current (AC) power flow equations that model dif…

math.PR2023

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…

eess.SY2023★ 11 cited

Estimating Risk-Aware Flexibility Areas for EV Charging Pools via Stochastic AC-OPF

Juan S. Giraldo, Nataly Banol Arias, Pedro P. Vergara +3

This paper introduces a stochastic AC-OPF (SOPF) for the flexibility management of electric vehicle (EV) charging pools in distribution networks under uncertainty. The SOPF conside…

cs.PF2022

Queues on interacting networks

Maria Vlasiou

Interacting networks are different in nature to single networks. The study of queuing processes on interacting networks is underdeveloped. It presents new mathematical challenges a…

math.OC2022

Simulation study for the comparison of power flow models for a line distribution network with stochastic load demands

M. H. M. Christianen, M. Vlasiou, B. Zwart

We use simulation to compare different power flow models in the process of charging electric vehicles (EVs) by considering their random arrivals, their stochastic demand for energy…

math.PR2022★ 1 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.PR2022

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…

math.CA2022

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…

math.OC2022★ 1 cited

Comparison of stability regions for a line distribution network with stochastic load demands

M. H. M. Christianen, J. Cruise, A. J. E. M. Janssen +3

We compare stability regions for different power flow models in the process of charging electric vehicles (EVs) by considering their random arrivals, their stochastic demand for en…

math.PR2021★ 1 cited

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…

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★ 1 cited

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…

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.OC2017★ 2 cited

Electric vehicle charging: a queueing approach

Angelos Aveklouris, Yorie Nakahira, Maria Vlasiou +1

The number of electric vehicles (EVs) is expected to increase. As a consequence, more EVs will need charging, potentially causing not only congestion at charging stations, but also…

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.OC2017

A Stochastic Resource-Sharing Network for Electric Vehicle Charging

Angelos Aveklouris, Maria Vlasiou, Bert Zwart

We consider a distribution grid used to charge electric vehicles such that voltage drops stay bounded. We model this as a class of resource-sharing networks, known as bandwidth-sha…

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…

math.PR2014★ 8 cited

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…

math.PR2014

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…

math.PR2014

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…

math.PR2014★ 2 cited

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…

math.PR2014

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…

math.PR2014

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…