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Extreme Values in the GI/G/1 Queue
3 references·16 citing·41 second hop
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this work references cited by second hop

References

  • 1983The Single Server Queue844 cited
  • 1970Multiple channel queues in heavy traffic. I438 cited
  • 1983The Single Server Queue.370 cited

Cited by

  • 1982Laws of Large Numbers for Sums of Extreme Values278 cited
  • 2010Efficient scalable schemes for monitoring a large number of data streams240 cited
  • 1975On the tails of waiting-time distributions226 cited
  • 1977Asymptotic behaviour of Wiener-Hopf factors of a random walk225 cited
  • 1998Subexponential asymptotics for stochastic processes: extremal behavior, stationary distributions and first passage probabilities175 cited
  • 2000Rare Events Simulation for Heavy-Tailed Distributions133 cited
  • 1974Heavy Traffic Limit Theorems for Queues: A Survey130 cited
  • 1973Weak convergence in queueing theory116 cited
  • 1996Some asymptotic results for transient random walks100 cited
  • 1994Cramér's estimate for Lévy processes91 cited
  • 2007Tails in scheduling86 cited
  • 2012Is Tail-Optimal Scheduling Possible?83 cited
  • 1998Extreme Value Theory for Queues Via Cycle Maxima

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76 cited
  • 1982Conditioned limit theorems relating a random walk to its associate, with applications to risk reserve processes and the GI/G/1 queue75 cited
  • 1997Patterns of buffer overflow in a class of queues with long memory in the input stream72 cited
  • 1972Embedded renewal processes in theGI/G/squeue67 cited