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Traffic flow time series at different time scales have different fluctuation characteristics. In order to analyze the discontinuity characteristics of traffic flow, a traffic volume time series is adopted as an empiric study objective. The multi-scale sharp variation points of the sequence are obtained by using wavelet transform. The scales are divided based on the corresponding number of the zero-crossing points of wavelet transform, and the hierarchy of the scales is analyzed. The results of calculation indicate that the number of sharp variation points of the traffic flow on a mutation scale is self-similar in a certain scale if the number of the sharp variation points is used as a measure. So, sharp variations of the traffic flow in different scales are scale-free.
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Keywords:
- traffic flow /
- sharp variation point /
- wavelet transform /
- scale free
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[2] Xiang Z T, Chen Y F, Li Y J, Xiong L 2014 Acta Phys. Sin. 63 038903 (in Chinese) [向郑涛, 陈宇峰, 李昱瑾, 熊励 2014 63 038903]
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[8] Dong C F, Ma X, Wang G W, Sun X Y, Wang B H 2009 Physica A 388 4651
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[20] Zheng Z, Ahn S, Chen D J, Laval J 2011 Trans. Res. B 45 372
[21] Mallat S, Hwang W L 1992 IEEE Trans. Inform. Theory 38 617
[22] Mallat S 1991 IEEE Trans. Inform. Theory 37 1019
[23] Xu Y S, Weaver J B, Healy D M, Lu J 1994 IEEE Trans. Image. Pro. 3 747
[24] Chen J Q, Zhou Y F 2008 Physics 37 24 (in Chinese) [程景全, 周宇峰 2008 物理 37 24]
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[1] Zhang H B, Sun X D, He Y L 2014 Acta Phys. Sin. 63 040505 (in Chinese) [张洪宾, 孙小端, 贺玉龙 2014 63 040505]
[2] Xiang Z T, Chen Y F, Li Y J, Xiong L 2014 Acta Phys. Sin. 63 038903 (in Chinese) [向郑涛, 陈宇峰, 李昱瑾, 熊励 2014 63 038903]
[3] Shan P J, Shen J S 2007 Chin. Phys. 16 365
[4] Fang Y, Chen J Z, Peng Z Y 2013 Chin. Phys. B 22 108902
[5] Shen B, Gao Z Y 2008 Chin. Phys. B 17 3284
[6] Zhang Y 2011 Ph. D. Dissertation (Beijing: Beijing Jiaotong University) (in Chinese) [张勇 2011 博士学位论文 (北京: 北京交通大学)]
[7] Dong C F, Ma X, Wang B H, Sun X Y 2010 Physica A 389 3274
[8] Dong C F, Ma X, Wang G W, Sun X Y, Wang B H 2009 Physica A 388 4651
[9] Chen B K, Xie Y B, Tong W, Dong C F, Shi D M, Wang B H 2012 Physica A 391 2730
[10] Dong C F, Carol S P 2011 Inform. Sci. 181 5042
[11] Samant A, Adeli H 2000 Comput-Aided. Civ. Inf. 15 251
[12] Adeli H, Ghosh-Dastidar S 2004 J. Transp. Eng. ASCE 130 94
[13] Samanwoy G D, Adeli H 2003 Comput-Aided. Civ. Inf. 18 325
[14] Jiang X, Adeli H 2004 Comput-Aided. Civ. Inf. 19 324
[15] Karim A, Adeli H 2002 J. Transp. Eng. ASCE 128 232
[16] Karim A, Adeli H 2003 J. Transp. Eng. ASCE 129 57
[17] Zheng Z D, Washington S 2012 Trans. Res. C 25 18
[18] Zheng Z, Ahn S, Monsere C M 2010 Accid. Anal. Prev. 42 626
[19] Zheng Z, Ahn S, Chen D J, Laval J 2011 Trans. Res. B 45 1378
[20] Zheng Z, Ahn S, Chen D J, Laval J 2011 Trans. Res. B 45 372
[21] Mallat S, Hwang W L 1992 IEEE Trans. Inform. Theory 38 617
[22] Mallat S 1991 IEEE Trans. Inform. Theory 37 1019
[23] Xu Y S, Weaver J B, Healy D M, Lu J 1994 IEEE Trans. Image. Pro. 3 747
[24] Chen J Q, Zhou Y F 2008 Physics 37 24 (in Chinese) [程景全, 周宇峰 2008 物理 37 24]
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