Abstract
This paper deals with mathematical model of pedestrian flows. We focus here on an “intelligence” of virtual people. From macroscopic viewpoint pedestrian dynamics is already well simulated but from microscopic point of view typical features of people movement need to be implemented to models. At least such features are “keeping in mind” two strategies – the shortest path and the shortest time and keeping a certain distance from other people and obstacles if it is possible. In this paper we implement mathematical formalization of these features to stochastic cellular automata (CA) Floor Field (FF) model.
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References
Helbing, D.: Traffic related self-driven many-particle systems. Rev. Mod. Phys. 73(4), 1067–1141 (2001)
Henein, C.M., White, T.: Macroscopic effects of microscopic forces between agents in crowd models. Physica A 373, 694–718 (2007)
Kirik, E., Yurgel’yan, T., Krouglov, D.: An intelligent floor field cellular automation model for pedestrian dynamics. In: Proceedings of The Summer Computer Simulation Conference 2007. The Mission Valley Marriott San Diego, California, pp. 1031–1036 (2007)
Kirik, E., Yurgel’yan, T., Krouglov, D.: The Shortest Time and/or the Shortest Path Strategies in a CA FF Pedestrian Dynamics Model. Journal of Siberian Federal University, Mathematics and Physics 2(3), 271–278 (2009)
Malinetskiy, G.G., Stepantcov, M.E.: An application of cellular automation for people dynamics modelling. Journal of Computational Mathematics and Mathematical Physics 44(11), 2108–2112 (2004)
Nishinari, K., Kirchner, A., Namazi, A., Schadschneider, A.: Extended floor field CA model for evacuation dynamics. IEICE Trans. Inf. & Syst. E87-D, 726 (2004)
Parzen, E.: On estimation of probability Density Function. Ann. Math. Stat. 33, 1065–1076 (1962)
Rosenblat, M.: Remarks on some non-parametric estimates of a density function. Ann. Math. Stat. 27, 832–837 (1956)
Schadschneider, A., Seyfried, A.: Validation of CA models of pedestrian dynamics with fundamental diagrams. Cybernetics and Systems 40(5), 367–389 (2009)
Yanagisawa, D., Nishinari, K.: Mean-field theory for pedestrian outflow through an exit. Physical review E76, 061117 (2007)
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Kirik, E., Yurgel’yan, T., Krouglov, D. (2010). Artificial Intelligence of Virtual People in CA FF Pedestrian Dynamics Model. In: Wyrzykowski, R., Dongarra, J., Karczewski, K., Wasniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2009. Lecture Notes in Computer Science, vol 6068. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14403-5_54
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DOI: https://doi.org/10.1007/978-3-642-14403-5_54
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