Geodesic
On sensitivity of SIgMA.CA pedestrian dynamics model to a~way shape
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 4, pp. 556-568.

Voir la notice de l'article provenant de la source Math-Net.Ru

The SIgMA.CA pedestrian dynamics model is discussed in this paper. Results of investigation of the model presented. We focused on spatial situations when the shortest path and the shortest time strategies are used. An influence of a way shape to a model dynamics, a sensitivity of the model to the shape way are investigated. Evacuation time and dynamics of the model versus model parameters and density for two test geometries are presented.
Keywords: people dynamics model, the shortest path strategy, the shortest time strategy, evacuation time. 
@article{JSFU_2011_4_4_a14,
     author = {Tat'yana B. Yurgel'yan and Ekaterina S. Kirik and Dmitry V. Krouglov},
     title = {On sensitivity of {SIgMA.CA} pedestrian dynamics model to a~way shape},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {556--568},
     publisher = {mathdoc},
     volume = {4},
     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2011_4_4_a14/}
}
TY  - JOUR
AU  - Tat'yana B. Yurgel'yan
AU  - Ekaterina S. Kirik
AU  - Dmitry V. Krouglov
TI  - On sensitivity of SIgMA.CA pedestrian dynamics model to a~way shape
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2011
SP  - 556
EP  - 568
VL  - 4
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JSFU_2011_4_4_a14/
LA  - ru
ID  - JSFU_2011_4_4_a14
ER  - 
%0 Journal Article
%A Tat'yana B. Yurgel'yan
%A Ekaterina S. Kirik
%A Dmitry V. Krouglov
%T On sensitivity of SIgMA.CA pedestrian dynamics model to a~way shape
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2011
%P 556-568
%V 4
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JSFU_2011_4_4_a14/
%G ru
%F JSFU_2011_4_4_a14
Tat'yana B. Yurgel'yan; Ekaterina S. Kirik; Dmitry V. Krouglov. On sensitivity of SIgMA.CA pedestrian dynamics model to a~way shape. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 4, pp. 556-568. http://geodesic.mathdoc.fr/item/JSFU_2011_4_4_a14/

[1] A. Schadschneider, W. Klingsch, H. Kluepfel, T. Kretz, C. Rogsch, A. Seyfried, “Evacuation Dynamics: Empirical Results, Modeling and Applications”, Encyclopedia of Complexity and System Science, Springer, 2009

[2] D. Helbing, “Traffic related self-driven many-particle systems”, Rev. Mod. Phys., 73:4 (2001), 1067–1141 | DOI

[3] E. Kirik, T. Yurgel'yan, D. Krouglov, “The shortest time and/or the shortest path strategies in a CA FF pedestrian dynamics model”, Zhurn. SFU. Ser. matem. i fiz., 2:3 (2009), 271–278

[4] E. Kirik, T. Yurgel'yan, D. Krouglov, “On realizing the shortest time strategy in a CA FF pedestrian dynamics model”, Cybernetics and Systems, 42:1 (2011), 1–15 | DOI

[5] A. Schadschneider, A. Seyfried, “Validation of CA models of pedestrian dynamics with fundamental diagrams”, Cybernetics and Systems, 40:5 (2009), 367–389 | DOI | Zbl

[6] E. Parzen, “On estimation of probability Density Function”, Ann. Math. Stat., 33 (1962), 1065–1076 | DOI | MR | Zbl