The kinematic wave model with finite decelerations: A social force car-following model approximationRevista : Transportation Research Part B-Methodological
Volumen : 71
Páginas : 182-193
Tipo de publicación : ISI Ir a publicación
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 models 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 models stability conditions are analysed and its trajectories are compared to real data.