The cellular automata (CA) model has been a meaningful way to study pedestrian evacuation during emergencies, such as fires, for many years. Although the time step used in the CA model is one of the most essential elements, there is a lack of research on its impact on evacuation time. In this paper, we set different time step sizes in an extended cellular automaton model and discuss the effect of time step size on the overall evacuation time under different emergency types and levels. For a fixed step time mode, the larger the time step, the longer the evacuation time. In each time step size, the evacuation time gradually increases with the increase of emergency level, and there is a sharp increase when the time for pedestrians to move one step is exactly an integer multiple of the time step. When there is no friction between pedestrians, the evacuation time at each time step first decreases slightly with the increase of emergency level and then remains unchanged; the larger the time step, when the evacuation time remains unchanged, the lower the emergency level and the greater the evacuation time. For the variable time step model, when the friction between pedestrians approaches infinity, the total evacuation time does not change with the emergency level; when the friction between pedestrians is reduced, the total evacuation time slightly decreases with the increase of the emergency level. The less friction there is, the more significant the reduction. The results of previous actual experiments are also reflected in the simulation at a lower emergency level. The result shows that the time step size significantly impacts the evacuation simulation results of the CA model, and researchers should choose carefully to obtain more realistic simulation results.
1 February 2024 in Physica A: Statistical Mechanics and its Applications
Understanding exit choice behaviour is essential for optimising safety management strategies in building evacuations. Previous research focused on contextual attributes, such as spatial information, influencing exit choice, often using utility models based on monotonic functions of attributes. However, during emergencies, evacuees typically make rapid, less calculated decisions. The choice of context can significantly impact the evaluation of attributes, leading to preference reversals within the same choice set but under varying context conditions. This cognitive psychological phenomenon, known as context effects, encompasses the compromise effect, the similarity effect, and the attraction effect. While researchers have long recognised the pivotal role of context effects in human decision making, their incorporation into computer-aided evacuation management remains limited. To address this gap, we introduce context effects (CE) in a social force (SF) model, CE-SF. Evaluating CE-SF’s performance against the UF-SF model, which considers only the utility function (UF), we find that CE-SF better replicates exit choice behaviour across urgency levels, highlighting its potential to enhance evacuation strategies. Notably, our study identifies three distinct context effects during evacuations, emphasising their importance in advancing safety measures.
Obstacles “upstream” of the exit significantly impact evacuation efficiency and deserve attention. Based on the discrete cellular automaton model, this paper studies the impact of different obstacle settings on evacuation efficiency in different emergency levels under different exit loads. Through simulation, we found that at low emergency levels, the appearance of obstacles has little impact on evacuation efficiency, while at high emergency levels, the changes in evacuation efficiency vary greatly under different obstacle settings: when the exit is relatively wide (evacuation pressure is low) and has the “faster is faster” effect, obstacles upstream of the exit reduce the evacuation efficiency, and setting obstacles directly opposite of the safety exit has the most obvious impact on the evacuation efficiency; while when the exit is narrow (evacuation pressure is high) and has the “faster is slower” effect, appropriately setting obstacles can slightly improve the evacuation efficiency. Our findings help to understand the impact of obstacles on evacuation efficiency under different exit loads to set upstream obstacles reasonably.