A discrete Hughes' model for pedestrian flow on graphs
Numerical Analysis
2016-04-19 v1 Optimization and Control
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.
Keywords
Cite
@article{arxiv.1604.05126,
title = {A discrete Hughes' model for pedestrian flow on graphs},
author = {Fabio Camilli and Adriano Festa and Silvia Tozza},
journal= {arXiv preprint arXiv:1604.05126},
year = {2016}
}