Heavy tails in multi-server queues

Sergey Foss; Dmitry Korshunov

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arXiv · 1303.4705

Heavy tails in multi-server queues

Sergey Foss·Dmitry Korshunov

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Abstract

In this paper, the asymptotic behaviour of the distribution tail of the stationary waiting time $W$ in the $GI/GI/2$ FCFS queue is studied. Under subexponential-type assumptions on the service time distribution, bounds and sharp asymptotics are given for the probability ${\bf P}\{W>x\}$. We also get asymptotics for the distribution tail of a stationary two-dimensional workload vector and of a stationary queue length. These asymptotics depend heavily on the traffic load.

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Sergey Foss, Dmitry Korshunov. 2013-03-19. Heavy tails in multi-server queues. https://arxiv.org/abs/1303.4705

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