Dennis Schol

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20192023

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

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

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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…