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 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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Foss, S., Korshunov, D. Heavy Tails in Multi-Server Queue. Queueing Syst 52, 31–48 (2006). https://doi.org/10.1007/s11134-006-3613-z
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DOI: https://doi.org/10.1007/s11134-006-3613-z