Dennis Schol

activity

20192023

most citedMaximum waiting time in heavy-tailed fork-join queues

1 citations · 3 across the 5 of their papers we have counts for

collaborators

5 papers

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 $N$ $G I / G I /1$ -queues in the $N$ -server fork-join queue, converge t…

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 $max_{i \leq N} W_{i} (\cdot)$ in an $N$ -server fork-join queue with heavy-tailed services as $N \to \infty$ . 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 $max_{i \leq N} sup_{s > 0} (W_{i} (s) + W_{A} (s) - β s)$ as $N \to \infty$ , with $(W_{i}, i \leq N)$ i.i.d. Brownian motions and $W_{A}$ an inde…

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.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 $N$ server fork-join queue with nearly deterministic arrival and service times. Specifically, we present a fluid limit for the maximum queue length as $N…