A Pareto-modulated Poisson process (PMPP) model for long-range dependent traffic

Authors:
T. Le-Ngoc;S. N. Subramanian
Affiliations:
Department of Electrical and Computer Engineering, 1455 de Maisonneuve Blvd West, Montreal, Quebec, Canada H3G 1M8;Department of Electrical and Computer Engineering, 1455 de Maisonneuve Blvd West, Montreal, Quebec, Canada H3G 1M8
Venue:
Computer Communications
Year:
2000

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Abstract

A new model for long-range dependent traffic is presented. This model is based on a switched Poisson process with two states and the sojourn time in each state follows an independent and identical Pareto distribution. It is versatile in capturing the self-similar characteristics of traffic found in the recent measurements. Its Index of Dispersion for Counts (IDC) is derived. It is shown that the IDC increases monotonically and the ''log[IDC(t)] versus log[t]'' curve has a slope of (2H-1), where H is the Hurst parameter. Example of the representation of measured data traffic using the introduced model is given. Performance of a Pareto-modulated Poisson process PMPP/D/1 queue is discussed.