Open AccessDetrended fluctuation analysis of time series in mixed traffic flow
Author(s) -
Jianjun Wu,
Xu Shang-Yi,
Huijun Sun
Publication year - 2011
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.60.019502
Subject(s) - detrended fluctuation analysis , series (stratigraphy) , range (aeronautics) , traffic flow (computer networking) , index (typography) , flow (mathematics) , time series , scale (ratio) , correlation , statistical physics , statistics , mathematics , computer science , mechanics , physics , materials science , geology , geometry , scaling , paleontology , computer security , quantum mechanics , world wide web , composite material
The detrended fluctuation analysis method is applied to analyse the complexity of traffic flow time series and the scale index is obtained, which is a parameter to depict the long term evolutionary behaviour of the mixed traffic flow time series. According to the changes of the scale index, it is shown that the traffic flow time series has long-range correlation characteristics or short-range correlation characteristics. It is found that the traffic flow series shows long-range correlation when the density ρ12; and when ρ1 or ρ>ρ2, the time series displays short-range correlation. That is to say, the vehicle density plays an important role in the changes of the scale index. Additionally, we also found that the ratio of slow vehicles have influence on the changes of the scale index.