[go: up one dir, main page]
More Web Proxy on the site http://driver.im/ skip to main content
10.1145/3242840.3242844acmotherconferencesArticle/Chapter ViewAbstractPublication PagesicacsConference Proceedingsconference-collections
research-article

An Extended Model for Simulation of Mexican Wave

Published: 27 July 2018 Publication History

Abstract

"Mexican wave" is an interesting phenomenon in a stadium, and has attracted much attention. Some researchers have established models to reproduce it, and related mechanisms have been understood. However, the influence of some factors such as density and individuals' visual field on this process has not been well investigated. Hence, this paper aims to simulate wave propagation by modifying a model introduced by Farkas et al. Detailed rules are given. After involving the effect of average density, it is observed that there will be a decrease in activation threshold if the average density decreases. This result is reasonable, and can be analyzed by calculations. Then, spectators' visual field is considered in the model. The influence of initial locations of triggering group members on activation thresholds is discussed. Results demonstrate that it is easier to generate a wave at a relatively large average density if the location is in front rows of a stadium. It is hoped that this study will be helpful in a deep understand of the propagation mechanisms of Mexican waves and in crowd management.

References

[1]
Hoogendoorn, S. P., van Wageningen-Kessels, F. L. M., Daamen, W., and Duives, D. C. 2014. Continuum modelling of pedestrian flows: From microscopic principles to self-organised macroscopic phenomena. Physica A. 416 (Dec. 2014), 684--694.
[2]
Helbing, D., Farkas, I., and Vicsek, T. 2000. Simulating dynamical features of escape panic. Nature. 407, 6803 (Sep. 2000), 487--490.
[3]
Wang, J., Zhang, L., Shi, Q., Yang, P., and Hu, X. 2015. Modeling and simulating for congestion pedestrian evacuation with panic. Physica A. 428 (Jun. 2015), 396--409.
[4]
Smelser, N. J. 2011. Theory of collective behavior, Quid Pro Books.
[5]
Farkas, I., Helbing, D., and Vicsek, T. 2003. Human waves in stadiums. Physica A. 330, 1-2 (Dec. 2003), 18--24.
[6]
Farkas, I. J., and Vicsek, T. 2006. Initiating a Mexican wave: An instantaneous collective decision with both short- and long-range interactions. Physica A. 369, 2 (Sep. 2006), 830--840.
[7]
Yilmaz, E., Molla, E., Yildiz, C., and İşler, V. 2011. Realistic modeling of spectator behavior for soccer videogames with CUDA. Comput. Graph. 35, 6 (Dec. 2011), 1063--1069.
[8]
Yu, W. J., Chen, R., Dong, L. Y., and Dai, S. Q. 2005. Centrifugal force model for pedestrian dynamics. Phys. Rev. E 72, 2 (Aug. 2005), 026112.
[9]
Deoliveira, M. J. 1992. Isotropic Majority-Vote Model on a Square Lattice. J. Stat. Phys. 66, 1-2 (Jan. 1992), 273--281.
[10]
Farkas, I., Helbing, D., and Vicsek, T. 2002. Social behaviour: Mexican waves in an excitable medium - The stimulation of this concerted motion among expectant spectators is explained. Nature. 419, 6903 (Sep. 2002), 131--132.
[11]
Bub, G., Shrier, A., and Glass, L. 2002. Spiral Wave Generation in Heterogeneous Excitable Media. Phys. Rev. Lett. 88, 5 (Feb. 2002).
[12]
Nagatani, T. 2003. Chemical-reaction model for Mexican wave. Physica A. 323 (May. 2003), 677--685.
[13]
Dadová, J., and Ferko, A. Cellular Automata based Crowd Simulation of Mexican Wave.

Cited By

View all
  • (2020)Dynamic analysis of stepping behavior of pedestrian social groups on stairsJournal of Statistical Mechanics: Theory and Experiment10.1088/1742-5468/ab8c372020:6(063403)Online publication date: 16-Jun-2020

Recommendations

Comments

Please enable JavaScript to view thecomments powered by Disqus.

Information & Contributors

Information

Published In

cover image ACM Other conferences
ICACS '18: Proceedings of the 2nd International Conference on Algorithms, Computing and Systems
July 2018
245 pages
ISBN:9781450365093
DOI:10.1145/3242840
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

In-Cooperation

  • Xi'an Jiaotong-Liverpool University: Xi'an Jiaotong-Liverpool University

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 27 July 2018

Permissions

Request permissions for this article.

Check for updates

Author Tags

  1. Crowd
  2. Mexican wave
  3. Model
  4. Simulation

Qualifiers

  • Research-article
  • Research
  • Refereed limited

Funding Sources

  • the Foundation for Talents of Fuzhou University, China

Conference

ICACS '18

Contributors

Other Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

  • Downloads (Last 12 months)13
  • Downloads (Last 6 weeks)3
Reflects downloads up to 17 Dec 2024

Other Metrics

Citations

Cited By

View all
  • (2020)Dynamic analysis of stepping behavior of pedestrian social groups on stairsJournal of Statistical Mechanics: Theory and Experiment10.1088/1742-5468/ab8c372020:6(063403)Online publication date: 16-Jun-2020

View Options

Login options

View options

PDF

View or Download as a PDF file.

PDF

eReader

View online with eReader.

eReader

Media

Figures

Other

Tables

Share

Share

Share this Publication link

Share on social media