On infinite source Poisson model with heterogeneous sources

Numerous traffic measurements in modern telecommunication systems highlighted two fundamentally new properties inherent in such systems: long-term dependence and self-similarity, which cannot be captured in a parsimonious way by traditional Markovian models. Strong irregularity and variability of packet traffic coupled with the presence of long-term dependence have a deep impact on the network performance. Markovian theory in this case lead to a substantial underestimation of the network load and highly non-accurate estimation of different performance measures. Hence, the development of an adequate traffic models and investigation their properties, is an important task of network engineering. Of particular interest is to study non homogenous traffic and its influence on system performance. In this paper we consider the Poisson model with infinite number of heterogenous sources and specify conditions under which the source of any type can affect the performance of telecommunication system.