An improved version of the Hughes model for pedestrian flow
File(s)s0218202516500147.pdf (918.92 KB) CarrilloMartinWolfram_Local_Hughes_M3AS.pdf (577.49 KB)
Published version
Accepted version
Author(s)
Carrillo de la Plata, J
Martin, STEPHAN
Type
Journal Article
Abstract
Roger Hughes proposed a macroscopic model for pedestrian dynamics, in which individuals
seek to minimize their travel time but try to avoid regions of high density. One of
the basic assumptions is that the overall density of the crowd is known to every agent.
In this paper we present a modification of the Hughes model to include local effects,
namely limited vision, and a conviction towards decision making. The modified velocity
field enables smooth turning and temporary waiting behavior. We discuss the modeling
in the micro- and macroscopic setting as well as the efficient numerical simulation of either
description. Finally we illustrate the model with various numerical experiments and
evaluate the behavior with respect to the evacuation time and the overall performance.
seek to minimize their travel time but try to avoid regions of high density. One of
the basic assumptions is that the overall density of the crowd is known to every agent.
In this paper we present a modification of the Hughes model to include local effects,
namely limited vision, and a conviction towards decision making. The modified velocity
field enables smooth turning and temporary waiting behavior. We discuss the modeling
in the micro- and macroscopic setting as well as the efficient numerical simulation of either
description. Finally we illustrate the model with various numerical experiments and
evaluate the behavior with respect to the evacuation time and the overall performance.
Date Issued
2016-01-19
Date Acceptance
2015-09-28
Citation
Mathematical Models & Methods in Applied Sciences, 2016, 26 (4), pp.671-697
ISSN
1793-6314
Publisher
World Scientific Publishing
Start Page
671
End Page
697
Journal / Book Title
Mathematical Models & Methods in Applied Sciences
Volume
26
Issue
4
Copyright Statement
This is an open access article published by World Scientific Publishing and distributed under the
terms of the Creative Commons Attribution (CC BY) 4.0 License, which permits use, distribution
and reproduction in any medium, provided the original author(s) and source are credited.
terms of the Creative Commons Attribution (CC BY) 4.0 License, which permits use, distribution
and reproduction in any medium, provided the original author(s) and source are credited.
Sponsor
The Royal Society
Engineering & Physical Science Research Council (E
Grant Number
WM120001
EP/K008404/1
Subjects
Hughes model
crowd dynamics
local vision
eikonal equations
selforganisation
Publication Status
Published