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Discrete kinetic theory for 2D modeling of a moving crowd: Application to the evacuation of a non-connected bounded domain
Abstract : This paper concerns the mathematical modeling of the motion of a crowd in a non connected bounded domain, based on kinetic and stochastic game theories. The proposed model is a mesoscopic probabilistic approach that retains features obtained from both micro-and macro-scale representations; pedestrian interactions with various obstacles being managed from a probabilistic perspective. A proof of the existence and uniqueness of the proposed mathematical model's solution is given for large times. A numerical resolution scheme based on the splitting method is implemented and then applied to crowd evacuation in a non connected bounded domain with one rectangular obstacle. The evacuation time of the room is then calculated by our technique, according to the dimensions and position of a square-shaped obstacle, and finally compared to the time obtained by a deterministic approach by means of randomly varying some of its parameters.
Littérature citée [15 références]
https://hal-enpc.archives-ouvertes.fr/hal-01811760
Contributeur : Mohammed El Rhabi <>
Soumis le : lundi 11 juin 2018 - 12:11:57
Dernière modification le : mardi 8 décembre 2020 - 10:20:42
Archivage à long terme le : : jeudi 13 septembre 2018 - 00:13:41
Contributeur : Mohammed El Rhabi <>
Soumis le : lundi 11 juin 2018 - 12:11:57
Dernière modification le : mardi 8 décembre 2020 - 10:20:42
Archivage à long terme le : : jeudi 13 septembre 2018 - 00:13:41
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