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Statistical properties of multiplicative multifractal processes in modelling telecommunications traffic streams

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2 Author(s)
Gao, J. ; Dept. of Electr. Eng., California Univ., Los Angeles, CA, USA ; Rubin, I.

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

Published in:

Electronics Letters  (Volume:36 ,  Issue: 1 )