Three-Dimensional Evacuation Model with Applicability Based on the Theory of Cellular Automata

Abstract

With the increasing number of terror attacks in France, evacuation plans at the Louvre, which receives tens of thousands of visitors every year, has become the key to the safety of visitors. Our goal is to make a reasonable emergency evacuation plan. First, we establish a two-dimensional evacuation model, based on the model, we build a three-dimensional cellular automaton model, which takes the speed of moving up and down the stairs of the occupants, positional attraction and probability of collisions into consideration. Second, we use Pathfinder for simulation. Finally, we find that the exit 1(secondary entrance) should be opened when the visitor density is high, while the exit 3 should be opened when the visitor density is low; and the Passage Richelieu entrance has the greatest influence on evacuation time, and emergency personnel should choose the Pyramid entrance as their emergency entrance.