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The application of Hölder exponent to traffic congestion warning
Authors:Pengjian Shang  Yongbo Lu  Santi Kama  
Institution:

aDepartment of Mathematics, School of Science, Beijing Jiaotong University, Beijing 100044, PR China

bSchool of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, PR China

cDepartment of Civil Engineering, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan

Abstract:In this paper, we applied multifractal modeling techniques to analyze the traffic data collected from the Beijing Yuquanying. The results indicated that multifractal characteristics obviously exist in the traffic system; the degree of fractality of these traffic data tends to increase as the traffic system becomes congested; the Hölder exponent that measures the local rate of fractality may be used as indicators to predict the presence of the traffic congestion.
Keywords:Fractal  Time series analysis  Traffic flow  Nonlinear dynamics and nonlinear dynamical systems
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