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Article Dans Une Revue Networks and Heterogeneous Media Année : 2015

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

Résumé

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. Acknowledgements: This work has been supported by the french 'Agence Nationale pour la Recherche (ANR)' in the frame of the contract "Pedigree" (ANR-08-SYSC-015-01). 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 t A c orique in Orsay where she conducted this research. PD is on leave from CNRS, Institut de Mat A c matiques de Toulouse, France.
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Dates et versions

hal-01097882 , version 1 (22-12-2014)

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Jérôme Fehrenbach, Jacek Narski, Jiale Hua, Samuel Lemercier, Asja Jelic, et al.. Time-delayed Follow-the-Leader model for pedestrians walking in line. Networks and Heterogeneous Media, 2015, 10 (3), pp.579-608. ⟨10.3934/nhm.2015.10.579⟩. ⟨hal-01097882⟩
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