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.
Bibliographical noteFunding Information:
The corresponding author would like to thank Chile’s National Commission for Scientific and Technological Research (Conicyt) and the Centre for Sustainable Urban Development (CEDEUS) for their monetary support.
© 2014 Elsevier Ltd.
- Kinematic wave model
- Microscopic traffic models
- Social force model
- Traffic flow theory