Freeway traffic oscillations: Microscopic analysis of formations and propagations using Wavelet Transform

A simple nonparametric car-following model driven by field data

“…The period and amplitude of oscillations at the location of 400 m are around 5 min and 58 km h À1 . The observations are all consistent with the existing findings and empirical observations, such as wave speed empirically ranging from À10 to À20 km h À1 and the period ranging from 2 to 15 min (Mauch and Cassidy, 2002;Ahn and Cassidy, 2007;Schönhof and Helbing, 2007;Laval and Leclercq, 2010;Zheng et al, 2011a;Zheng et al, 2011b;Chen et al, 2012aChen et al, ,b, 2014Jiang et al, 2014).…”

Variable speed limit control for steady and oscillatory queues at fixed freeway bottlenecks

“…These disturbances tend to form near bottlenecks (Ahn and Cassidy, 2007;Edie and Baverez, 1958) and propagate against congested traffic as kinematic waves without losing their structures (Kerner and Rehborn, 1996;Mauch and Cassidy, 2002). Moreover, stop-and-go disturbances can form spontaneously (Chen et al, 2012a(Chen et al, , 2012bLaval and Leclercq, 2010;Sugiyama et al, 2008;Zheng et al, 2011) and result in capacity drop (Chen et al, 2014;Treiber and Kesting, 2011).…”

Prediction of traffic convective instability with spectral analysis of the Aw–Rascle–Zhang model

“…In other words, the contribution of the work is to show that the model can support oscillatory behavior (through periodic solutions). This is the main difference with purely data driven approaches such as [51] for example.…”

“…However, second-order macroscopic models are most suited for our method. Other approaches have used spectral transforms such as wavelets as in [51] or the Fourier-Galerkin transform as in [52]. Our Laplace transform based study is different in that it is fundamentally physics driven and does not rely on a finite difference scheme.…”