The kinematic wave model with finite decelerations: A social force car-following model approximation

Rafael Delpiano*, Jorge Laval, Juan Enrique Coeymans, Juan Carlos Herrera

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

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.

Original languageEnglish
Pages (from-to)182-193
Number of pages12
JournalTransportation Research Part B: Methodological
Volume71
DOIs
StatePublished - 1 Jan 2015
Externally publishedYes

Bibliographical note

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.

Keywords

  • Car-following
  • Kinematic wave model
  • Microscopic traffic models
  • Social force model
  • Traffic flow theory

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