A Mathematical Modeling of the Interaction Between Evacuees and Fire Through Radiation

Abstract

We define radiation repulsive forces for representing the change of behavior pattern when the evacuees see the fire. Mathematical models of the radiation repulsive forces are applied on FDS + Evac which can simultaneously calculate the fire and evacuation simulation. Then, we analyze the characteristics of evacuation by comparing with the Helbing's movement model and the obstruction model. As a result of analysis, when the anisotropy radiation repulsive force is applied, all evacuees change the walking direction for avoiding the fire. Moreover, after evacuees pass the fire, the evacuees moving in the central pathway are increased and the population density is decreased near the side wall. Therefore, the evacuation characteristics and the total evacuation time are the most reasonable when the anisotropy radiation repulsive force is applied. However, the additional studies for more reliable psychological factor of the evacuees are required for improving the reality of modified movement model.