Queueing Systems

, Volume 52, Issue 1, pp 31–48 | Cite as

Heavy Tails in Multi-Server Queue

Article

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.

Keywords

FCFS multi-server queue keybullet Stationary waiting time keybullet Large deviations keybullet Long tailed distribution keybullet Subexponential distribution 

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Copyright information

© Springer Science + Business Media, Inc. 2006

Authors and Affiliations

  1. 1.Department of Actuarial Mathematics and Statistics, School of Mathematical and Computer SciencesHeriot-Watt UniversityEdinburghScotland
  2. 2.Korshunov Sobolev Institute of MathematicsNovosibirskRussia

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