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A Long-Range Dependent Workload Model for Packet Data Traffic

M. Çalar

College of Arts and Science, Koç University, Rumeli Feneri Yolu, 80910 Sariyer Istanbul, Turkey
mcaglar{at}ku.edu.tr

We consider a probabilistic model for workload input into a telecommunication system. It captures the dynamics of packet generation in data traffic as well as accounting for long-range dependence and self-similarity exhibited by real traces. The workload is found by aggregating the number of packets, or their sizes, generated by the arriving sessions. The arrival time, duration, and packet-generation process of a session are all governed by a Poisson random measure. We consider Pareto-distributed session holding times where the packets are generated according to a compound Poisson process. For this particular model, we show that the workload process is long-range dependent and fractional Brownian motion is obtained as a heavy-traffic limit. This yields a fast synthesis algorithm for generating packet data traffic as well as approximating fractional Brownian motion.

Key Words: infinite source Poisson model; packet data traffic; fractional Brownian motion
History: Received: January 10, 2002; revision received: September 6, 2002;