Pedestrian Trajectories and Collisions in Crowd Motion

Abstract

A 2D microscopic approach for crowd movement modeling has been studied and applied for ten years now. This collective research is reported in [3, 9, 10, 53–55, 66, 79–84]. The first idea was to use a granular media flow model based on the collision theory introduced in 1995 by Michel Frémond [31] and described in Chap. 2. In this model the movement of the granular particles is in a 2D space and the particles, in the initial version, are rigid. Philippe Pécol [79], improved the granular media flow model to manage collisions in the trajectories of pedestrians. He com-pared the results of his model and other models to experiments in the case of urgent evacuations. The evacuation times given by his model are very satisfactory in the case of emergency. More recently, Bachar Kabalan [53] addressed three new aspects. The first one concerns pedestrian navigation towards a final destination, the second one consists of managing pedestrian-pedestrian interactions and the last aspect is the validation and verification of the model. The basis of this model is presented in what follows. Current research tracks are finally introduced but not detailed.