Σ-matching technique for MMPP modeling of heterogeneous ON-OFF sources

It has been believed that the MMPP (Markov modulated Poisson process) model is inadequate for describing heterogeneous sources because of the complexity of the parameter matching. The authors develop a simple and good parameter matching technique, called the X-matching, for the MMPP modeling of heterogeneous ON-OFF sources. It is based upon the well known property of MMPPs that the superposition of MMPPs is MMPP; each traffic class is modeled by a 2-state MMPP using average matching and then their superposition becomes a 2^L-state MMPP where L is the number of traffic classes. The authors evaluate the performance of the Σ-matching for various traffic classes