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Number of results
2013 | 124 | 6 | 1005-1012

Article title

Crowd Behavior as an Example of the Evolution of a Complex System - Evacuation Models Proposal Based on the Symmetry Analysis Approach

Content

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Languages of publication

EN

Abstracts

EN
The evacuation of football stadium scenarios as examples of evolution of complex system are discussed. The models are presented as movements of individuals according to fields of displacements, calculated correspondingly to the given scenario. The assumption has been made that the most efficient evacuation is left based on the accordance of symmetry of allowed space, and this symmetry is taken into account while calculating the displacements field. The displacements related to every point of this space are calculated by the symmetry analysis method and fulfill the symmetry conditions of allowed space. The speed of each individual at every point in the presented model has the same quantity. Consequently, the times of evacuation and average presses acting on individuals during the evacuation are given. Both parameters are compared with and without symmetry considerations. They are calculated in the simulation procedure. For the realization of the simulation tasks the new program (using modified Helbing model) has been elaborated.

Keywords

EN

Contributors

author
  • Faculty of Physics and Applied Computer Science, University of Science and Technology, al. A. Mickiewicza 30, 30-059 Kraków, Poland
author
  • Faculty of Physics and Applied Computer Science, University of Science and Technology, al. A. Mickiewicza 30, 30-059 Kraków, Poland

References

  • [1] W. Sikora, L. Pytlik, in: Group Theory: Classes, Representations and Connections, and Applications, Nova Sci. Publ., New York 2010, Ch. 1, p. 1
  • [2] W. Sikora, J. Malinowski, in: 4th KES Int. Symp., KES- MST 2010, Gdynia (Poland), 2010, Proc. Part II, Lecture Notes in Artificial Intelligence, Subseries of Lecture Notes in Computer Science, Eds. R. Goebel, J. Siekmann, W. Wahlster, Springer-Verlag, Berlin 2010, p. 229
  • [3] W. Sikora, F. Białas, L. Pytlik, J. Appl. Crystallogr. 37, 1015 (2004). Program available from: http://novell.ftj.agh.edu.pl/sikora/mody.htm
  • [4] Tensor Vis program available at: http://novell.ftj.agh.edu.pl/ malinowski/opis/Tensor_Vis_en.html
  • [5] D. Helbing, I. Farkas, T. Vicsek, Nature 407, 487 (2000)
  • [6] N. Courty, S. Raupp Musse, in: CGI '05 Proc. Computer Graphics Int. 2005, p. 206
  • [7] D. Helbing, P. Molnár, Phys. Rev. E 51 4282 (1995)
  • [8] T. Kretz, C. Bonish, P. Vortish, in: Pedestrian and Evacuation Dynamics 2008, Eds. W.W.F. Klingsch, Ch. Rogsch,A. Schadschneider, M. Schreckenberg, Springer, Heidelberg 2010, p. 335
  • [9] W. Wolf, Modern VLSI Design, Prentice Hall PTR, Ann Arbor 1998, p. 518
  • [10] http://www.gamasutra.com/view/feature/131424/pool_hall_lessons_fast_accurate_.php
  • [11] C. Ericson, Real Time Collision Detection, Elsevier/Morgan Kaufmann Publishers, San Francisco 2005

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.bwnjournal-article-appv124n618kz
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