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Traffic with an fBm Limit: Convergence of the Stationary Workload Process

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References

1994A storage model with self-similar input848 cited
1976Stochastic Processes in Queueing Theory674 cited
2002Is Network Traffic Appriximated by Stable Lévy Motion or Fractional Brownian Motion?270 cited
1998Heavy Tails and Long Range Dependence in On/Off Processes and Associated Fluid Models176 cited
1998Fluid models for single buffer systems147 cited
1994Fluid Model Driven by an Ornstein-Uhlenbeck Process45 cited
2000Overflow behavior in queues with many long-tailed inputs32 cited
1999On–off fluid models in heavy traffic environment26 cited

Cited by

2006A TANDEM QUEUE WITH LÉVY INPUT: A NEW REPRESENTATION OF THE DOWNSTREAM QUEUE LENGTH17 cited
2005Sample-path large deviations for generalized processor sharing queues with Gaussian inputs15 cited

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