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

Rafael Delpiano

Jorge Laval

Juan Enrique Coeymans

Juan Carlos Herrera

Journal Article

10.1016/j.trb.2014.10.005

0191-2615

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.

2015-12-29 00:40:03

January 2015

Transportation Research Part B: Methodological

ScienceDirect

182-193

Transportation Research Part B: Methodological

The kinematic wave model with finite decelerations

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

http://www.sciencedirect.com/science/article/pii/S0191261514001751

71

ScienceDirect Snapshot

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