Modeling Crowd Evacuation via Behavioral Heterogeneity-Based Social Force Model

With the increasing scale of crowds in public places, the study of modeling crowd evacuation has become a significant research field. However, most previous research ignores to incorporate behavioral heterogeneity of individuals into the modeling framework, making it hard to replicate more realistic evacuation processes. Therefore, a behavioral heterogeneity-based social force model (BHSFM) is proposed to reveal the heterogeneity characteristics from the aspect of individual behavior. Numerical experiments show that the BHSFM provides a general mathematical framework for describing behavioral heterogeneity and forms a more reasonable and elaborate evacuation process. Notably, some interesting evacuation phenomena can emerge by integrating the behavioral heterogeneity coefficient with temporal-spatial dynamic risk indexes. Compared with the social force model (SFM), higher frequencies of small-scale displacements are performed by BHSFM due to more pushing behaviors. Furthermore, the periods and areas of a potential crowd disaster are revealed by our model under different numbers of pedestrians, which has important guiding significance for formulating reasonable evacuation schemes in specific scenarios.