Mathematical modeling of individual flow movement of people from the maternity hospital building in case of fire

Abstract

Statistical data on the number of fires and people killed in fires in the Russian Federation for the period under review and on the objects of fires are presented. The basics of fire safety of maternity hospitals are considered. The fire safety assessment of the maternity hospital in question was carried out. The data on the fire protection system of the maternity hospital building, on the smoke protection and alarm systems used, on fire-fighting water supply, as well as information on the characteristics of electricity, heating and ventilation are given. Mathematical models used to calculate the evacuation time of people from the maternity hospital building in question are presented. The coordinate scheme of a possible variant of the placement of people who are at a given time on the evacuation routes is considered. The possible density of the flow of evacuating people in the stream within the considered evacuation area is analyzed. The basic calculation formulas used in the design of buildings, taking into account the organization of the movement of human flows, are given. The program used the Fogard complex, which implements an individual flow model developed on the basis of a mathematical model of the individual flow movement of people from the building. The developed evacuation plan of a typical floor was used as the initial data for the calculations. As a result, the main goal of the work was achieved, which is to analyze the movement of human flows and clarify the estimated time needed to rescue evacuees from the maternity hospital building.