27 Nov 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 |
Author | Rafael Delpiano, Jorge Laval, Juan Enrique Coeymans, Juan Carlos Herrera |
Line(s) | Acceso y movilidad |
Year of Publication | 2014 |
Journal Title | Transportation Research Part B: Methodological |
Keywords | Traffic flow theory, Microscopic traffic models, Social force model, Car-following, Kinematic wave model |
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. |
Doi | https://doi.org/10.1016/j.trb.2014.10.005 |
Corresponding Author | Juan Carlos Herrera jch@ing.puc.cl |