The Shortest Time and/or the Shortest Path Strategies in a CA FF Pedestrian Dynamics Model

The paper deals with a mathematical model of a pedestrian movement based on a stochastic cellular automata (CA) approach. A basis of the model obtained is the Floor Field (FF) model. FF models imply that virtual people follow the shortest path strategy. However, in reality people follow the strategy of the shortest time as well. The focus of the paper is on mathematical formalization and implementation of these features into a model of pedestrian movement. Some results of computer simulations are presented.