MATHEMATICAL MODEL OF DEFINITION OF SAFE EVACUATION DIRECTIONS IN CASE OF FIRE

The criteria of smooth and timely evacuation in case of fire in relation to the problem of determining the direction of the safe evacuation of the building were considered. Requirements to the optimal escape route in case of fire were determined. The requirements were used to development of a mathematical model of determining the directions for safe evacuation in case of fire. The mathematical model was realized in the computing program for definition safe evacuation directions in buildings with using mathematical programming complex MatLab. Evacuation process and spread of fire hazard were simulated in different scenarios based on the mathematical model and designed program. The result of analyses computing simulated showed efficient the mathematical model as well as the laws of change of safe evacuation directions in case of fire were identified.