A pedestrian flow model with stochastic velocities: microscopic and macroscopic approaches
Probability
2019-12-13 v1 Numerical Analysis
Abstract
We investigate a stochastic model hierarchy for pedestrian flow. Starting from a microscopic social force model, where the pedestrians switch randomly between the two states stop-or-go, we derive an associated macroscopic model of conservation law type. Therefore we use a kinetic mean-field equation and introduce a new problem-oriented closure function. Numerical experiments are presented to compare the above models and to show their similarities.
Cite
@article{arxiv.1703.09134,
title = {A pedestrian flow model with stochastic velocities: microscopic and macroscopic approaches},
author = {Simone Göttlich and Stephan Knapp and Peter Schillen},
journal= {arXiv preprint arXiv:1703.09134},
year = {2019}
}
Comments
23 pages