Eikonal equation based cellular automaton for a pedestrian evacuation problem
Identifikátory výsledku
Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F44555601%3A13440%2F20%3A43895806" target="_blank" >RIV/44555601:13440/20:43895806 - isvavai.cz</a>
Nalezeny alternativní kódy
RIV/00216208:11320/20:10423622 RIV/68407700:21340/20:00350141
Výsledek na webu
<a href="https://aip.scitation.org/doi/abs/10.1063/5.0027704" target="_blank" >https://aip.scitation.org/doi/abs/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>
Alternativní jazyky
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 f 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 f, 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 f 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 f, 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.
Klasifikace
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)
Návaznosti výsledku
Projekt
—
Návaznosti
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Ostatní
Rok uplatnění
2020
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Údaje specifické pro druh výsledku
Název statě ve sborníku
AIP Conference Proceedings
ISBN
978-0-7354-4025-8
ISSN
0094-243X
e-ISSN
—
Počet stran výsledku
4
Strana od-do
"nestrankovano"
Název nakladatele
American Institute of Physics
Místo vydání
New York
Místo konání akce
Sheraton Rhodes ResortRhodes; Greece;
Datum konání akce
23. 9. 2019
Typ akce podle státní příslušnosti
WRD - Celosvětová akce
Kód UT WoS článku
000636709500425