Time-delayed Follow-the-Leader model for pedestrians walking in line

Abstract

We use the results of a pedestrian tracking experiment to identify a followthe-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. Acknowledgements: This work has been supported by the french ’Agence Nationale pour la Recherche (ANR)’ in the frame of the contract “Pedigree” (ANR-08-SYSC015-01). JH acknowledges support of the ANR and the Institut de Mathématiques de Toulouse, where he conducted this research. AJ acknowledges support of the ANR and of the Laboratoire de physique thà c ©orique in Orsay where she conducted this research. PD is on leave from CNRS, Institut de Mathà c ©matiques de Toulouse, France.

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Cite this paper

@article{Fehrenbach2015TimedelayedFM, title={Time-delayed Follow-the-Leader model for pedestrians walking in line}, author={J{\'e}r{\^o}me Fehrenbach and Jacek Narski and Jiale Hua and Samuel Lemercier and Asja Jelic and C{\'e}cile Appert-Rolland and St{\'e}phane Donikian and Julien Pettr{\'e} and Pierre Degond}, journal={NHM}, year={2015}, volume={10}, pages={579-608} }