Citation

Delpiano R, Laval J, Coeymans JE, Herrera JC. Transp. Res. B Methodol. 2015; 71: 182-193.

Copyright

(Copyright © 2015, Elsevier Publishing)

DOI

10.1016/j.trb.2014.10.005

PMID

unavailable

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.