A cellular automata model of pedestrian evacuation in three-dimensional space

In order to effectively depict the evacuation process in three-dimensional space, combining with the ladder factors, a novel three-dimensional cellular automata model is proposed. Based on the position attraction and collision possibility, the model presents a formula for calculating the transition probability, and expounds the evacuation strategy through defining the cellular evolutionary process. Meanwhile, experiments are conducted using the simulation platform to study the relationships between evacuation time, exit flow rate, exit width, original pedestrian density and system average velocity. The results show that evacuation time and exit flow rate have a positive correlation with original pedestrian density, and a negative correlation with exit width; in addition, concerning the optimum evacuation time, there exists a desirable threshold value for system average velocity and exit width.