TIME-DELAYED FOLLOW-THE-LEADER MODEL FOR PEDESTRIANS WALKING IN LINE
Authored by Pierre Degond, Cecile Appert-Rolland, Julien Pettre, Jerome Fehrenbach, Jacek Narski, Jiale Hua, Samuel Lemercier, Asja Jelic, Stephane Donikian
Date Published: 2015
DOI: 10.3934/nhm.2015.10.579
Sponsors:
French National Research Agency (ANR)
French National Center for Scientific Research (CNRS)
Platforms:
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Model Documentation:
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Mathematical description
Model Code URLs:
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Abstract
We use the results of a pedestrian tracking experiment to identify a
follow-the-leader model for pedestrians walking-in-line. We demonstrate
the existence of a time-delay between a subject's response and the
predecessor's corresponding behavior. This time-delay induces an
instability which can be damped out by a suitable relaxation. By
comparisons with the experimental data, we show that the model
reproduces well the emergence of large-scale structures such as
congestions waves. The resulting model can be used either for modeling
pedestrian queuing behavior or can be incorporated into bi-dimensional
models of pedestrian traffic.
Tags
Simulation
Congestion
behavior
Crowd dynamics
Traffic flow
Motion
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