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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 outline one approach whereby traffic sources can be modeled by chaotic maps, and illustrate the traffic characteristics that can be generated by analyzing three maps. We... (Update)
Context of citations to this paper: More
...of fractal processes. Our approach is based on earlier work on the application of deterministic chaotic maps to model traffic flows [5] 6][7][8] Specifically, we consider the simplest class of chaotic systems, known as one dimensional (1 D) chaotic maps, in which the evolution...
.... deterministic maps (such as Bernoulli Shift, the Liebovitch Map and the Intermittency Map) have been proposed for traffic traces generation [8]. As far as broadband networks are concerned, a modified version of the Intermittency Map is particularly attractive since it...
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BibTeX entry: (Update)
A. Erramilli, R.P. Singh, and P. Pruthi, "Modeling Packet Traffic with Chaotic Maps," Royal Institute of Technology, ISRN KTH/IT/R-94/18--SE, Stockholm-Kista, Sweden, Aug. 1994. http://citeseer.ist.psu.edu/erramilli94modeling.html More
@misc{ erramilli94modeling,
author = "A. Erramilli and R. Singh and P. Pruthi",
title = "Modeling Packet Traffic with Chaotic Maps",
text = "A. Erramilli, R.P. Singh, and P. Pruthi, Modeling Packet Traffic with Chaotic
Maps, Royal Institute of Technology, ISRN KTH/IT/R-94/18--SE, Stockholm-Kista,
Sweden, Aug. 1994.",
year = "1994",
url = "citeseer.ist.psu.edu/erramilli94modeling.html" }
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18 Fractal Properties in Packet Traffic Measurements (context) - Erramilli, Willinger - 1993
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10 Application of Deterministic Chaotic Maps to Characterize Br.. (context) - Erramilli, Singh - 1990
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9 the Approximation of Invariant Measures (context) - Hunt, Miller - 1992
9 Modeling Packet Arrivals from Asynchronous Input Lines (context) - Ramaswami, Latouche - 1987
5 Engineering for Realistic Traffic: A Fractal Analysis of Bur.. (context) - Erramilli, Gosby et al. - 1993
4 Traffic Synchronization Effects in Teletraffic Systems (context) - Erramilli, Forys - 1991
4 Ion Channel Kinetics: Random or Deterministic Process (context) - Liebovitch, Toth - 1990
1 A Renewal Approximation for the Generalized Poisson Process (context) - Tran-Gia - 1983
1 The Switched Poisson process and the SPP/G/1 Queue (context) - Rossiter - 1988
1 Packet Traffic Characterization, Arrival Laws andWaiting Tim.. (context) - Fontana, Guerrero - 1988
1 Comparison of Some Traffic Models for ATM Performance Studie.. (context) - Ramaswami, Rumsewicz et al. - 1991
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Recent Developments in Fractal Traffic Modeling - Erramilli, Pruthi, Willinger (1995) (Correct)
Self-Similarity in High-Speed Network Traffic.. - Erramilli, Pruthi.. (1995) (Correct)
Chaotic Maps As Models of Packet Traffic - Erramilli, Singh, Pruthi (1994) (Correct)
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