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

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

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.

Suggested Citation

  • Delpiano, Rafael & Laval, Jorge & Coeymans, Juan Enrique & Herrera, Juan Carlos, 2015. "The kinematic wave model with finite decelerations: A social force car-following model approximation," Transportation Research Part B: Methodological, Elsevier, vol. 71(C), pages 182-193.
    • Handle: RePEc:eee:transb:v:71:y:2015:i:c:p:182-193
    DOI: 10.1016/j.trb.2014.10.005
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    References listed on IDEAS

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    Cited by:

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    4. Han, Yanbin & Liu, Hong, 2017. "Modified social force model based on information transmission toward crowd evacuation simulation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 499-509.

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