  This paper deals with a mathematical model of a pedestrian movement. A
stochastic cellular automata (CA) approach is used here. The Floor Field (FF)
model is a basis model. FF models imply that virtual people follow the shortest
path strategy. But people are followed by a strategy of the shortest time as
well. This paper is focused on how to mathematically formalize and implement to
a model these features of the pedestrian movement. Some results of a simulation
are presented.
