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交通流突变点的无标度特征分析

张勇 李诗高

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交通流突变点的无标度特征分析

张勇, 李诗高

Analysis of scale-free characteristic on sharp variation point of traffic flow

Zhang Yong, Li Shi-Gao
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  • 交通流时间序列在不同时间尺度上具有不同的波动特征. 为了分析交通流的突变特征, 以一段实际的交通流量序列为研究对象进行实证研究. 采用小波变换的方法求得交通流在不同尺度上的突变点, 按照小波函数过零点数目将交通流的尺度划分为若干层次, 并分析了交通流突变的层次性. 计算表明: 以突变点数目为测度时, 在一定的尺度范围内, 交通流在突变层次上的突变点数目满足自相似性特征. 因此, 交通流的突变在不同尺度上具有无标度性.
    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.
    • 基金项目: 国家自然科学基金(批准号: 61201452, 61179032)资助的课题.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 61201452, 61179032).
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    Dong C F, Ma X, Wang B H, Sun X Y 2010 Physica A 389 3274

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    Dong C F, Ma X, Wang G W, Sun X Y, Wang B H 2009 Physica A 388 4651

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    Zheng Z, Ahn S, Monsere C M 2010 Accid. Anal. Prev. 42 626

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    Zheng Z, Ahn S, Chen D J, Laval J 2011 Trans. Res. B 45 1378

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    Zheng Z, Ahn S, Chen D J, Laval J 2011 Trans. Res. B 45 372

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    Mallat S, Hwang W L 1992 IEEE Trans. Inform. Theory 38 617

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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 物理学报 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 物理学报 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]

计量
  • 文章访问数:  5538
  • PDF下载量:  493
  • 被引次数: 0
出版历程
  • 收稿日期:  2014-06-25
  • 修回日期:  2014-09-10
  • 刊出日期:  2014-12-05

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