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

Title
The kinematic wave model with finite decelerations: A social force car-following model approximation
AuthorRafael Delpiano, Jorge Laval, Juan Enrique Coeymans, Juan Carlos Herrera
Line(s)Acceso y movilidad
Year of Publication2014
Journal TitleTransportation Research Part B: Methodological
Keywords
Traffic flow theory, Microscopic traffic models, Social force model, Car-following, Kinematic wave model
AbstractThis 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.
Doihttps://doi.org/10.1016/j.trb.2014.10.005
Corresponding AuthorJuan Carlos Herrera jch@ing.puc.cl