Mathematical model for evacuation people from corridor-type buildings

Abstract

This article describes different techniques for calculating escape routes in cases of emergency. The article contains developed mathematical model that describes dynamic flows movement in a directed graph. Model parameters include undirected graph as a model of a building, initial flow values, flows sources and their sinks. The aim of our work was creating the model, an algorithm and software to illustrate human flows movement in cases of emergency. One of the major subtask of our work was illustration of such process in corridor-type buildings. We modelled a few real evacuation experiments performed in Petrozavodsk State University in different years. Results showed that suggested model is adequate and applicable for describing human flows movement in cases of emergency. Developed algorithm and software are applicable to work out escape routes and estimate duration of evacuation. Results obtained applicable for the following research of evacuation processes, building design and operation to achieve fire safety requirements.