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arXiv · 1912.11661

Large fork-join queues with nearly deterministic arrival and service times

Dennis Schol·Maria Vlasiou·Bert Zwart
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Abstract

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 $N\to\infty$. This fluid limit depends on the initial number of tasks. In order to prove these results, we develop extreme value theory and diffusion approximations for the queue lengths.

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Dennis Schol, Maria Vlasiou, Bert Zwart. 2019-12-25. Large fork-join queues with nearly deterministic arrival and service times. https://arxiv.org/abs/1912.11661

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