Empirical testing of the infinite source poisson data traffice model
Journal article, 2003

The infinite source Poisson model is a fluid queue approximation of network data transmission that assumes that sources begin constant rate transmissions of data at Poisson time points for random lengths of time. This model has been a popular one as analysts attempt to provide explanations for observed features in telecommunications data such as self-similarity, long range dependence and heavy tails. We survey some features of this model in cases where transmission length distributions have (a) tails so heavy that means are infinite, (b) heavy tails with finite mean and infinite variance and (c) finite variance. We survey the self-similarity properties of various descriptor processes in this model and then present analyses of four data sets which show that certain features of the model are consistent with the data while others are contradicted. The data sets are 1) the Boston University 1995 study of web sessions, 2) the UC Berkeley home IP HTTP data collected in November 1996, 3) traces collected in end of 1997 at a Customer Service Switch in Munich, and 4) detailed data from a corporate Ericsson WWW server from October 1998.


regular variation

heavy tails

Pareto tails

data transmission modelling

internet traffic



Charles-Antoine Guerin

Henrik Nyberg

Olivier Perrin

Sidney Resnick

Holger Rootzen

Department of Mathematics

University of Gothenburg

Catalin Starica

Chalmers, Department of Mathematics

University of Gothenburg

Stochastic models

Vol. 19 156-196

Subject Categories

Probability Theory and Statistics

More information