Large Buffer Asymptotics for the Queue with Fbm Input

@inproceedings{Massouli2007LargeBA,
  title={Large Buffer Asymptotics for the Queue with Fbm Input},
  author={Laurent Massouli{\'e} and Alain Simonian},
  year={2007}
}
In this paper, a strong asymptotic estimate for the queue content distribution of a uid queue fed by a Fractional Brownian input with Hurst parameter H 2 1=2; 11 is studied. By applying general results on suprema of centered Gaussian processes, in particular, we show that P(V 0 > x) L x e ? 2 x 2(1?H) =2 for large x. Explicit formulae for constants , and L are given in terms of H and system parameters. 
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