Multiplicative Multifractal Modeling of Long-range-dependent (lrd) Traac in Computer Communications Networks

Source traac streams as well as aggregated traac ows often exhibit long-range-dependent (LRD) properties. In this work, we model traac streams using multi-plicative multifractal processes. We develop two type of models, the multifractal point processes and multifractal counting processes. We demonstrate our model to eeectively track the behavior exhibited by the system driven by the actual traf-c processes. We also study the superposition of LRD ows. We prove that the superposition of a nite number of multiplicative multifractal traac streams results asymptotically in another multifractal stream. Furthermore we demonstrate numerically that the superimposed process can be eeectively modeled by an ideal multiplicative process.