Path space large deviations of a large buffer with Gaussian input traffic

Path space large deviations of a large buffer with Gaussian input traffic

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Article ID: iaor20041326
Country: Netherlands
Volume: 42
Issue: 2
Start Page Number: 113
End Page Number: 129
Publication Date: Oct 2002
Journal: Queueing Systems
Authors: , ,
Abstract:

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 independent streams, each of which is a fractional Brownian motion, having different Hurst indices.

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