The University of Liverpool
Department of Mathematical Sciences
Division of Statistics and Probability
SEMINAR
Mathematical models of internet traffic on a link
Dr Richard G. Clegg
Wednesday, 17th October, 2pm
The Whittaker Room (211)
Abstract:
There is considerable interest in creating a mathematical model which can represent the level of internet traffic on a link in the network.
In particular there is interest in a model which has similar queuing performance to the real traffic. A variety of models have been proposed many informed by the discovery that internet traffic was characterised by long-range dependence (LRD). These models include amongst others fractional Gaussian noise, chaotic maps and Markov modulated processes.
This work focuses a simple Markov modulated model which has a tractable closed form solution for the mean queue length and average delay.
The queuing performance of various models is compared with that of real traffic in simulation and the shortcomings of various proposed models from the literature is demonstrated in simulation.
Some problems with traditional methods for modelling internet traffic with LRD are highlighted and an alternative model is proposed and tested.
Following the talk, tea and biscuits will be available in Room 304
ALL WELCOME
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Ingrid Harper
Division of Statistics and Probability
Department of Mathematical Sciences
University of Liverpool
Mathematical Sciences Building
Peach Street
Liverpool L69 7ZL
Tel: 0151 794 4751
Fax: 0151 794 4754
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