Markovian modeling of real data traffic: Heuristic phase
type and MAP fitting of heavy tailed and fractal like
András Horváth, Miklós Telek
In order to support the effective use of telecommunication
infrastructure, the ``random'' behavior of traffic sources has been
studied since the early days of telephony. Strange new features, like
fractal like behavior and heavy tailed distributions were observed in
high speed packet switched data networks in the early '90s. Since that
time a fertile research aims to find proper models to describe these
strange traffic features and to establish a robust method to design,
dimension and operate such networks.
In this paper we give an overview of methods that, on the one hand,
allow us to capture important traffic properties like slow decay rate,
Hurst parameter, scaling factor, etc., and, on the other hand, makes
possible the quantitative analysis of the studied systems using the
effective analysis approach called matrix geometric method.
The presentation of this analysis approach is associated with a
discussion on the properties and limits of Markovian fitting of the
typical non-Markovian behavior present in telecommunication networks.
András Horváth, 2008-06-25