Path Space Large Deviations of a Large Buffer with Gaussian Input Traffic

We consider a queue fed by Gaussian traffic and give conditions on the input process under which the path space large deviations of the queue are governed by the rate function of the fractional Brownian motion. As an example we consider input traffic that is composed of of independent streams, each of which is a fractional Brownian motion, having different Hurst indices.

• Type: Journal
• Year: 2002
• Where: QUESTA
• Authors: Yu. Kozachenko, O. Vasylyk, T. Sottinen
• Keywords: Fractional Brownian Motion, Gaussian Traffic, QUESTA 2002, Space Large Deviations