Eikonal equation based cellular automaton for a pedestrian evacuation problem

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F20%3A00350141" target="_blank" >RIV/68407700:21340/20:00350141 - isvavai.cz</a>

Alternative codes found

RIV/44555601:13440/20:43895806 RIV/00216208:11320/20:10423622

Result on the web

<a href="http://dx.doi.org/10.1063/5.0027704" target="_blank" >http://dx.doi.org/10.1063/5.0027704</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1063/5.0027704" target="_blank" >10.1063/5.0027704</a>

Result language

angličtina

Original language name

Eikonal equation based cellular automaton for a pedestrian evacuation problem

Original language description

We propose a two-dimensional cellular automaton (CA) for the simulation of pedestrian evacuation based on the solution of the Eikonal equation. This approach was inspired by the role of the Eikonal equation in the fluid dynamics model of pedestrian flow presented in [1]. The solution phi of the Eikonal equation represents the shortest time needed for a pedestrian to reach the exit. In the cellular automaton for each pedestrian, the transition probabilities for a move to an unoccupied neighbor cell are determined by the value of the potential phi, which is the novelty of the paper. The shortest time to reach the exit is so taken into account for a pedestrian decision. The fast sweeping method from [2] is used for the numerical solution of the Eikonal equation. As an application we show simulations of the evacuation of a room with an obstacle. The comparison with the fluid dynamics pedestrian model is presented.

Czech name

—

Czech description

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Type

D - Article in proceedings

CEP classification

—

OECD FORD branch

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2020

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection

Proceedings of International Conference on Numerical Analysis and Applied Mathematics 2019 (ICNAAM-2019)

ISBN

978-0-7354-4025-8

ISSN

—

e-ISSN

0094-243X

Number of pages

4

Pages from-to

—

Publisher name

AIP Conference Proceedings

Place of publication

New York

Event location

Rhodes

Event date

Sep 23, 2019

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

000636709500425