Fundamental Diagram as a Model Input: Direct Movement Equation of Pedestrian Dynamics

Abstract

Inspiriting by advantages of continuous and discrete approaches to model pedestrian dynamics a new discrete-continuous model SIgMA.DC. was developed This model is of individual type; people (particles) move in a continuous space - in this sense model is continuous, but number of directions where particles may move is a model parameter (limited and predetermined by a user) - in this sense model is discrete. To find current velocity vector we do not describe forces that act on people. To have a value of velocity we use a fundamental diagram data; and probability approach is used to find a direction. Description of the model and some simulation results are presented.