An application of deterministic chaotic maps to model packet traffic |
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Authors: | Ashok Erramilli R. P. Singh Parag Pruthi |
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Affiliation: | (1) Bell Communications Research NVC 2X-157, 331 Newman Springs Road, 07701 Red Bank, NJ, USA;(2) Department of Teleinformatics, Royal Institute of Technology, Electrum 204, S-164 40 Kista, Sweden |
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Abstract: | We investigate the application of deterministic chaotic maps to model traffic sources in packet based networks, motivated in part by recent measurement studies which indicate the presence of significant statistical features in packet traffic more characteristic of fractal processes than conventional stochastic processes. We describe one approach whereby traffic sources can be modeled by chaotic maps, and illustrate the traffic characteristics that can be generated by analyzing several classes of maps. We outline a potential performance analysis approach based on chaotic maps that can be used to assess the traffic significance of fractal properties. We show that low order nonlinear maps can capture several of the fractal properties observed in actual data, and show that the source characteristics observed in actual traffic can lead to heavy-tailed queue length distributions. It is our conclusion that while there are considerable analytical difficulties, chaotic maps may allow accurate, yet concise, models of packet traffic, with some potential for transient and steady state analysis. |
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Keywords: | Packet traffic modelling deterministic chaotic maps self-similar traffic fractals chaos performance analysis |
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