TY - JOUR
T1 - The kinematic wave model with finite decelerations
T2 - A social force car-following model approximation
AU - Delpiano, Rafael
AU - Laval, Jorge
AU - Coeymans, Juan Enrique
AU - Herrera, Juan Carlos
N1 - Funding 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.
Publisher Copyright:
© 2014 Elsevier Ltd.
PY - 2015/1/1
Y1 - 2015/1/1
N2 - 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.
AB - 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.
KW - Car-following
KW - Kinematic wave model
KW - Microscopic traffic models
KW - Social force model
KW - Traffic flow theory
UR - http://www.scopus.com/inward/record.url?scp=84911910955&partnerID=8YFLogxK
U2 - 10.1016/j.trb.2014.10.005
DO - 10.1016/j.trb.2014.10.005
M3 - Article
AN - SCOPUS:84911910955
SN - 0191-2615
VL - 71
SP - 182
EP - 193
JO - Transportation Research Part B: Methodological
JF - Transportation Research Part B: Methodological
ER -