Tail asymptotics for delay in a half-loaded GI/GI/2 queue with heavy-tailed job sizes

@article{Blanchet2015TailAF,
  title={Tail asymptotics for delay in a half-loaded GI/GI/2 queue with heavy-tailed job sizes},
  author={Jos{\'e} H. Blanchet and M. KarthyekRajhaaA.},
  journal={Queueing Systems},
  year={2015},
  volume={81},
  pages={301-340}
}
We obtain asymptotic bounds for the tail distribution of steady-state waiting time in a two-server queue where each server processes incoming jobs at a rate equal to the rate of their arrivals (that is, the half-loaded regime). The job sizes are taken to be regularly varying. When the incoming jobs have finite variance, there are basically two types of effects that dominate the tail asymptotics. While the quantitative distinction between these two manifests itself only in the slowly varying… 

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