Superposition of multiplicative multifractal traffic streams

Source traffic streams as well as aggregated traffic flows often exhibit long-range-dependent (LRD) properties. We model each traffic stream component through the multiplicative multifractal counting process traffic model. We prove that the superposition of a finite number of multiplicative multifractal traffic streams results in another multifractal stream. This property makes the multifractal traffic model a versatile tool in modeling traffic streams in computer communication networks. There, a node is loaded by a traffic flow resulting from the superposition of source streams and aggregated LRD (and other) streams. The structure and the burstiness of the superimposed process is studied, and useful mathematical relations are obtained