Geodesic
The Shortest Time and/or the Shortest Path Strategies in a~CA FF Pedestrian Dynamics Model
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 2 (2009) no. 3, pp. 271-278

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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.
Keywords: cellular automata, pedestrian dynamics, transition probabilities, artificial intelligence. 
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     author = {Ekaterina S. Kirik and Tat'yana B. Yurgel'yan and Dmitriy V. Krouglov},
     title = {The {Shortest} {Time} and/or the {Shortest} {Path} {Strategies} in {a~CA} {FF} {Pedestrian} {Dynamics} {Model}},
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Ekaterina S. Kirik; Tat'yana B. Yurgel'yan; Dmitriy V. Krouglov. The Shortest Time and/or the Shortest Path Strategies in a~CA FF Pedestrian Dynamics Model. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 2 (2009) no. 3, pp. 271-278. http://geodesic.mathdoc.fr/item/JSFU_2009_2_3_a1/