Fractal nature of highway traffic data

Authors:
Pengjian Shang;Meng Wan;Santi Kama
Affiliations:
Department of Mathematics, School of Science, Beijing Jiaotong University, Beijing 100044, PR China;School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, PR China;Department of Civil Engineering, University of Tokyo 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan
Venue:
Computers & Mathematics with Applications
Year:
2007

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Abstract

In this paper, we applied a fractal approach to analyze the traffic data collected from the Beijing Yuquanying. The power spectrum, the empirical probability distribution function, the statistical moment scaling function and the autocorrelation function are used as indicators to investigate the presence of the fractal. The results from the fractal identification methods indicate that these data exhibit fractal behavior. A fractal framework seemed well suited for description of the data observed here, but its suitability for general traffic systems was not clear.