Statistical properties of multiplicativemultifractal processes in modellingtelecommunications traffic streams
Jianbo Gao, Izhak Rubin · Electronics Letters · 2000
Telecommunications network systems have been observed to contain processing and switching nodes that are loaded by highly bursty traffic streams. Such flows exhibit long-range-dependent (LRD) properties. The design and sizing of electronic processing and switching systems depend critically on the features of such processes. LRD traffic streams are modelled as a multiplicative multifractal process. Through simulation, it is shown that similar queueing performance results can be simultaneously obtained for a network operating at low, medium, and high utilisation levels when one compares the system-size tail performance of a single server queueing system driven in the first case by the measured traffic and in the second case by a multiplicative multifractal traffic model. A number of the properties of such processes that are most relevant to their use as network traffic models are proved.