Fractal behavior in the headway fluctuation simulated by the NaSch model

H.B. Zhu and J.B. Gao

Physica A: Statistical Mechanics and its Applications, 2014, vol. 398, issue C, 187-193

Abstract: The fractal behavior of traffic flow is studied by the adaptive fractal analysis method on the basis of the vehicle headway time series, which are obtained from the numerical simulation of the NaSch model. We find that the vehicle headway time series has a fractal behavior that is similar to the standard Brownian motion (BM) over a wide range of scales when the density is low. As the density increases well-defined sharp spectral peaks, corresponding to the stop-and-go waves, appear while the scale range showing BM-like behavior rapidly shrinks. In the high density regime, a new type of fractal behavior with long-range correlations appears, accompanying the worsening of traffic congestions. The underlying dynamics of traffic flow is analyzed, and some meaningful results are obtained.

Keywords: Traffic flow; Adaptive fractal analysis; Power-law fluctuation; Stop-and-go waves; Traffic congestion (search for similar items in EconPapers)
Date: 2014
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:398:y:2014:i:c:p:187-193

DOI: 10.1016/j.physa.2013.12.033

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