Multifractal analysis and modeling of long-range-dependent traffic

We present a multiplicative multifractal process to model long-range-dependent traffic. Using traffic trace data captured by Bellcore from operations across local and wide area networks, we examine the interarrival time series and the packet length sequences. We show the multiplicative process to effectively characterize the stochastic behavior exhibited by these processes. Furthermore we consider a single server queueing system which is loaded, on one hand, by the measured processes, and, on the other hand, by our multifractal processes. In comparing the performance of both systems, we demonstrate our model to effectively track the behavior exhibited by the system driven by the actual traffic processes.