1 citations · 1 across the 7 of their papers we have counts for
7 papers
Heavy tails in dynamic flow networks: Universal explanation of their emergence
Agnieszka Janicka, Fiona Sloothaak, Maria Vlasiou +1
Overload-induced cascading failures can cause extreme disruptions in a wide range of networked systems, such as power grids, transportation networks, or financial systems. Empirica…
Emergence of Scale-Free Traffic Jams in Highway Networks: A Probabilistic Approach
Agnieszka Janicka, Fiona Sloothaak, Maria Vlasiou +1
Traffic congestion continues to escalate with urbanization and socioeconomic development, necessitating advanced modeling to understand and mitigate its impacts. In large-scale net…
Infinite-horizon Fuk-Nagaev inequalities
A. J. E. M. Janssen, B. Zwart
We develop explicit bounds for the tail of the distribution for the all-time supremum of a random walk with negative drift, where the increments have a truncated heavy-tailed distr…
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…
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…
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 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…