The Model of Single Smoothed MPEG Traffic Source Based on the D-BMAP Arrival Process with Limited State Space

In this paper we propose the model of single smoothed MPEG traffic source which is based on special type of D-BMAP arrival process. To our knowledge up to date there was no model of smoothed traffic from the single MPEG source which fits well to both purposes simultaneously: analytical evaluation and simulation studies. Our model is responsible for these tasks. Based on statistical analysis of smoothed MPEG traffic we limit the state space of the modulating Markov chain of the DBMAP process which models the smoothed MPEG traffic such that it can allow an analytical analysis of the queuing systems. Our model captures both the histogram of relative frequencies and the autocovariance function (ACF) of single smoothed MPEG traffic source well. In addition, it is simple enough and can be easily used in simulation studies even when there is a need to generate the model “on the fly”. The simplicity of the model stems from that fact that it employs only four states of the modulating Markov chain and does not require additional expansion of the state space. In addition, the model allows the evaluation of lower bound of approximation error of empirical ACF before the construction of the model. We also present the modeling algorithm which can be implemented in software.