Source traffic streams as well as aggregated traffic flows often exhibit long-range-dependent (LRD) properties. In this work, we model traffic streams using multiplicative multifractal processes. We develop two type of models, the multifractal point processes and multifractal counting processes. We demonstrate our model to effectively track the behavior exhibited by the system driven by the actual traffic processes. We also study the superposition of LRD flows. We prove that the superposition of a finite number of multiplicative multifractal traffic streams results asymptotically in another multifractal stream. Furthermore we demonstrate numerically that the superimposed process can be effectively modeled by an ideal multiplicative process. [References: 11]
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