Multifractal classification of road traffic flows

Multifractality, present in traffic flow, usually connected with irregular scaling behavior and self-similarity. A multifractal spectrum is used to classify traffic behavior measurements. The width spread and the maximum of spectrum, two measures characterizing the spectrum of observations, are proposed as the distinguishing features among the samples. Data, observed on Beijing Yuquanying highway over a period of about 40 months, from January 16, 2001 to June 17, 2004, were used in the study. Analysis based on descriptive statistics is provided to obtain the statistical description of the inherited multifractality. The multifractal process was validated to be appropriate in the classification of the traffic flow.

[1]  Carl J. G. Evertsz,et al.  Self-similarity of harmonic measure on DLA , 1992 .

[2]  H E Stanley,et al.  Statistical physics and physiology: monofractal and multifractal approaches. , 1999, Physica A.

[3]  Peter Nijkamp,et al.  (Un)predictability in Traffic and Transport Decision Making , 1999 .

[4]  Kenneth Falconer,et al.  The multifractal spectrum of statistically self-similar measures , 1994 .

[5]  B. L. Cox,et al.  Fractal Surfaces: Measurement and Applications in the Earth Sciences , 1993 .

[6]  Jose M. Diego,et al.  Partition function based analysis of cosmic microwave background maps , 1999 .

[7]  J. L. Véhel,et al.  Multifractal Analysis of a Class of Additive Processes with Correlated Non-Stationary Increments , 2004 .

[8]  Shlomo Havlin,et al.  Delay-induced chaos with multifractal attractor in a traffic flow model , 2002 .

[9]  Jacques Lévy Véhel,et al.  MULTIFRACTAL DESCRIPTION OF ROAD TRAFFIC STRUCTURE , 1994 .

[10]  Heinz-Otto Peitgen,et al.  Fractal geometry and analysis : the Mandelbrot festschrift, Curaçao 1995 , 1996 .

[11]  Rudolf H. Riedi,et al.  An Improved Multifractal Formalism and Self Similar Measures , 1995 .

[12]  Laurence R. Rilett,et al.  Non-linear analysis of traffic flow , 2001, ITSC 2001. 2001 IEEE Intelligent Transportation Systems. Proceedings (Cat. No.01TH8585).

[13]  Stefan Thurner,et al.  MULTIFRACTAL SPECTRA AS A MEASURE OF COMPLEXITY IN HUMAN POSTURE , 2002 .

[14]  J. L. Véhel Fractal Approaches in Signal Processing , 1995 .

[15]  Jacques Lévy Véhel,et al.  Multifractal Analysis of Choquet Capacities , 1998 .

[16]  Rudolf H. Riedi,et al.  Application of multifractals to the analysis of vegetation pattern , 1994 .

[17]  Xuewei Li,et al.  Chaotic analysis of traffic time series , 2005 .

[18]  G. Michon,et al.  On the multifractal analysis of measures , 1992 .