Is network traffic approximated by stable Lévy motion or fractional Brownian motion?
Journal article, 2002
Cumulative broadband network traffic is often thought to be well
modeled by fractional Brownian motion (FBM). However, some traffic
measurements do not show an agreement with the Gaussian marginal
distribution assumption. We show that if connection rates are modest
relative to heavy tailed connection length distribution tails, then stable Lévy
motion is a sensible approximation to cumulative traffic over a time period.
If connection rates are large relative to heavy tailed connection length
distribution tails, then FBM is the appropriate approximation. The results are
framed as limit theorems for a sequence of cumulative input processes whose
connection rates are varying in such a way as to remove or induce long range
cumulative input process
stable Lévy motion
fractional Brownian motion