On the Asymptotic Behavior of a Fluid Queue With a Heavy-Tailed M / G / ∞ Arrival Process

@inproceedings{2000OnTA,
  title={On the Asymptotic Behavior of a Fluid Queue With a Heavy-Tailed M / G / ∞ Arrival Process},
  author={},
  year={2000}
}
  • Published 2000
We consider an infinite buffer fluid queue with a constant capacity and an M/G/∞ arrival process. M/G/∞ process consists of sessions with Poisson starting times, independent intermediately regularly varying session durations and constant arrival rates. The session duration distributions and arrival rates are selected from a finite set of distinct choices. For this queue we derive the asymptotic behavior of the stationary queue length distribution under the assumption that exactly one long… CONTINUE READING