R. James Cruise (School of Mathematical and Computer Sciences, Heriot-Watt University)

A scaling framework for the many flows asymptotic, through large deviations
Wednesday 16 February 2011 at 15.30, JCMB 6206

Abstract

The many flows asymptotic for queueing systems was introduced by Alan Weiss in 1986 is a natural asymptotic for large systems. In this talk we introduce a novel scaling framework for this asymptotic and examine how various results relate to each other.

To introduce the framework we consider a simple Markovian example before exploring some of the sample path large deviations principles obtainable. We then utilize these results to gain a better insight into the multiplexing gain obtained from pooling resources. Finally we introduce some open problems which are thrown up by this new framework.

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