MODEL AND METHOD OF MODELING MOVEMENT OF GROUPS OF PEOPLE FROM BUILDINGS IN EMERGENCY SITUATIONS

Abstract

The Constitution of Ukraine proclaims the highest social value of human security, life and health. Every citizen of Ukraine has a constitutional right to safe living, working and leisure conditions. These inalienable constitutional rights of man and society as a whole are objects of national security of Ukraine.

In the last decade, there has been a tendency to increase the number and scale of the consequences of emergencies (EM). Emergencies are accompanied not only by material but also human losses, so in an emergency it is very important to make quick and correct decisions to eliminate the consequences of emergencies and to save people.

Among the possible forms of protection of the population there is the organization of controlled evacuation of people from the places of development of emergency, in particular from buildings for the necessary time, which is calculated based on their spatial design planning of buildings. To this end, scientifically sound plans for the evacuation of people are being developed, the main component of which are programs for modeling human flows, which adequately reflect the real processes of human movement. Therefore, the urgent problem is the development of models and methods for modeling human flows, which includes modeling the movement of people in the creation of subgroups and groups of people, ie the location of people at a distance not exceeding of the maximum of allowable. Examples of such subgroups are families, employees of the same unit, rescuers performing one rescue operation, and so on.

Subgroups can be grouped together. Therefore, there is a problem of modeling the movement of people taking into account the restrictions on the maximum allowable distances between people, which is part of the modeling of rational evacuation plans from buildings.

The paper constructs a meaningful statement of modeling the movement of people taking into account the maximum allowable distances between them. Formalized restrictions on the conditions of non-intersection of ellipses, which are models of people, taking into account the maximum allowable distances between them. These constraints are written using a normalized quasi-phi of function for a pair of ellipses.

Keywords: heterogeneous human flow, motion modeling, non-intersection conditions, maximum allowable distances.