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arXiv · 1604.05126

A discrete Hughes' model for pedestrian flow on graphs

Fabio Camilli·Adriano Festa·Silvia Tozza
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Abstract

In this paper, we introduce a discrete time-finite state model for pedestrian flow on a graph in the spirit of the Hughes dynamic continuum model. The pedestrians, represented by a density function, move on the graph choosing a route to minimize the instantaneous travel cost to the destination. The density is governed by a conservation law while the minimization principle is described by a graph eikonal equation. We show that the model is well posed and we implement some numerical examples to demonstrate the validity of the proposed model.

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Fabio Camilli, Adriano Festa, Silvia Tozza. 2016-04-18. A discrete Hughes' model for pedestrian flow on graphs. https://arxiv.org/abs/1604.05126

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