The kinematic wave model with finite decelerations: A social force car-following model approximation

Rafael Delpiano, Jorge Laval, Juan Enrique Coeymans and Juan Carlos Herrera

Transportation Research Part B: Methodological, 2015, vol. 71, issue C, 182-193

Abstract: This paper derives a five-parameter social force car-following model that converges to the kinematic wave model with triangular fundamental diagram. Analytical solutions for vehicle trajectories are found for the lead-vehicle problem, which exhibit clockwise and counter-clockwise hysteresis depending on the model’s parameters and the lead vehicle trajectory. When coupled with a stochastic vehicle dynamics module, the model is able to reproduce periods and amplitudes of stop-and-go waves, as reported in the field. The model’s stability conditions are analysed and its trajectories are compared to real data.

Keywords: Traffic flow theory; Microscopic traffic models; Social force model; Car-following; Kinematic wave model (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (4)

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DOI: 10.1016/j.trb.2014.10.005

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