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A Novel Discrete Distribution and Process to Model Self-Similar Traffic

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3 Author(s)
Rakesh Singhai ; Electrical Engineering Department, IIT Delhi, New Delhi, India,,, ; Shiv Dutt Joshi ; Rajendra K. P. Bhatt

Network traffic is modeled as Poisson process for analytic simplicity, even though a number of traffic studies have shown that packet interarrivals are not exponentially distributed. Packet arrivals deviate considerably from Poissonity and follow statistical self-similar and long-range dependent behavior (LRD). We propose a novel discrete distribution for the counting process and show that for such a process the interarrivals are Pareto distributed. This new process is self-similar and exhibits long-range dependent behavior.

Published in:

2007 9th International Conference on Telecommunications

Date of Conference:

13-15 June 2007