Heavy-tailed Dependent Queues in Heavy Traffic

@inproceedings{OTK2008HeavytailedDQ,
  title={Heavy-tailed Dependent Queues in Heavy Traffic},
  author={WLADYSEAW SZCZ OTK and w OY CZYNSKI},
  year={2008}
}
  • WLADYSEAW SZCZ OTK, w OY CZYNSKI
  • Published 2008
The paper studies G/G/l queues with heavy-tailed probability distributions of the service times and/or the interarrival times. It relies on the fact that the heavy traffic limiting distribution of the normalized stationary waiting times for such queues is equal to the distribution of the supremum M = supos,, , (x(L)-pt), where X is a LBvy process. This distribution turns out to be exponential if the tail of the distribution of interarrival times is heavier than that of the service times, and it… CONTINUE READING

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