@article{ref1,
title="The kinematic wave model with finite decelerations: a social force car-following model approximation",
journal="Transportation research part B: methodological",
year="2015",
author="Delpiano, Rafael and Laval, Jorge and Coeymans, Juan Enrique and Herrera, Juan Carlos",
volume="71",
number="",
pages="182-193",
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.<p />",
language="en",
issn="0191-2615",
doi="10.1016/j.trb.2014.10.005",
url="http://dx.doi.org/10.1016/j.trb.2014.10.005"
}