Eikonal equation based cellular automaton for a pedestrian evacuation problem

Kód výsledku v 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>

Nalezeny alternativní kódy

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

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Eikonal equation based cellular automaton for a pedestrian evacuation problem

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Eikonal equation based cellular automaton for a pedestrian evacuation problem

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

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

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2020

Kód důvěrnosti údajů

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

Název statě ve sborníku

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

ISBN

978-0-7354-4025-8

ISSN

—

e-ISSN

0094-243X

Počet stran výsledku

4

Strana od-do

—

Název nakladatele

AIP Conference Proceedings

Místo vydání

New York

Místo konání akce

Rhodes

Datum konání akce

23. 9. 2019

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

000636709500425