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Multifractal description of road traffic structure

Abstract : In this work, we study the structure of road traffic with the help of fractal and multifractal tools. Using classical models of traffic that lead to a Burgers' equation and recent results on the solutions of this equation when the initial conditions are scaling, we predict that, under some circumstances, the traffic can possess a multifractal structure similar to those of multiplicative processes. We then verify this behavior on six minute data of traffic flows. The high sampling rate allows to evidence the highly irregular nature of the flows and to quantify this irregularity using the classical tools of the multifractal theory, namely the (q, A(q)) and the (A, f(A)) curves. These characterizations in turn permit to classify the complex traffic data, with some application to short-term prediction.
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https://hal.inria.fr/inria-00074731
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, May 24, 2006 - 4:11:42 PM
Last modification on : Friday, May 25, 2018 - 12:02:05 PM
Long-term archiving on: : Tuesday, April 12, 2011 - 6:41:43 PM

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  • HAL Id : inria-00074731, version 1

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Jacques Lévy Véhel, Robert Vojak, Mehdi Danech-Pajouh. Multifractal description of road traffic structure. [Research Report] RR-1943, INRIA. 1993. ⟨inria-00074731⟩

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