Local dependencies and Poissonification of data traffic: a case study

Sofia Andersson and Tobias Rydén


Centre for Mathematical Sciences
Mathematical Statistics
Lund Institute of Technology,
Lund University,
1999

ISSN 1403-9338
Abstract:
Traffic characterization is of great importance in the analysis and dimensioning of modern telecommunication networks. In this paper the microdynamics of some sets of traffic are investigated. The approach to study the microdynamics is poissonification, which is a way of transforming a point process into a Poisson process locally. Partly we want to gain basic knowledge of how the traffic behaves on smaller time scales and partly we want to see if there are any effects when the traffic is fed into a queue. As an application poissonification can be used when modeling a doubly stochastic Poisson process to find the time scale where we no longer have the doubly stochastic behavior. Three different traffic traces were analyzed. Results show that provided the poissonification is carried out at a sufficiently small time scale the performance characteristics are not decisively changed and this gives a guide how to choose the time scale where to start modeling.
Key words:
poissonification, performance analysis, traffic analysis, point process spectrum