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Summary: -
Modelling Network Data Traffic
D.K. Arrowsmith1
, R.J. Mondrag´on2
1School of Mathematical Sciences
2 Department of Electronic Engineering
Queen Mary, University of London
Contents
1 Introduction 3
2 Long-Range Dependence 4
3 Packet production model 5
3.1 Equivalent packet production models . . . . . . . . . . . . . . . . . . . . . . . . . 8
3.1.1 Closed form map . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
3.1.2 Piece-wise linear map . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
3.1.3 Power-law escape . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
3.1.4 Autocorrelation of the map output . . . . . . . . . . . . . . . . . . . . . . 10
3.2 Autocorrelation for intermittency maps . . . . . . . . . . . . . . . . . . . . . . . 12
3.3 Transmission Control Protocol Dynamics . . . . . . . . . . . . . . . . . . . . . . 12
4 Topology of Networks 13
4.1 Regular-Symmetric Networks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
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