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Effect of form of obstacle on speed of crowd evacuation

Ryosuke Yano*

  • Tokio, Marine and Nichido Risk Consulting Co. Ltd., 1-5-1 Otemachi, Chiyoda-ku, Tokyo, Japan

  • *ryosuke.yano@tokiorisk.co.jp
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Phys. Rev. E 97, 032319 – Published 29 March, 2018

DOI: https://doi.org/10.1103/PhysRevE.97.032319

Abstract

This paper investigates the effect of the form of an obstacle on the time that a crowd takes to evacuate a room, using a toy model. Pedestrians are modeled as active soft matter moving toward a point with intended velocities. An obstacle is placed in front of the exit, and it has one of four shapes: a cylindrical column, a triangular prism, a quadratic prism, or a diamond prism. Numerical results indicate that the evacuation-completion time depends on the shape of the obstacle. Obstacles with a circular cylinder (C.C.) shape yield the shortest evacuation-completion time in the proposed model.

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References (79)

  1. A. Czirók and T. Vicsek, Statistical mechanics of biocomplexity, in Proceedings of the XV Sitges Conference, Barcelona, 1998, edited by D. Reguera, J. M. G. Vilar, and J. M. Rubi (Springer, Berlin, 2010), pp. 152–164.
  2. A. Czirók, Phys. Rev. E 54, 1791 (1996).
  3. T. Vicsek, A. Czirók, E. Ben-Jacob, I. Cohen, and O. Shochet, Phys. Rev. Lett. 75, 1226 (1995).
  4. T. Vicsek and A. Zafeiris, Phys. Rep. 517, 71 (2012).
  5. A. Czirók and T. Vicsek, Physica A 281, 17 (2000).
  6. A. Czirók, H. E. Stanley, and T. Vicsek, J. Phys. A 30, 1375 (1997).
  7. M. Durve and A. Sayeed, Phys. Rev. E 93, 052115 (2016).
  8. F. Peruani, A. Deutsch, and M. Bar, Eur. Phys. J. Spec. Top. 157, 111 (2008).
  9. K.-D. Nguyen, New J. Phys. 17, 113056 (2015).
  10. M. Aldana, V. Dossetti, C. Huepe, V. M. Kenkre, and H. Larralde, Phys. Rev. Lett. 98, 095702 (2007).
  11. R. Hegselmann and U. Krause J. Artif. Soc. Social Simul. 5, 2 (2002).
  12. F. Cucker, and S. Smale, Jpn. J. Math. 2, 197 (2007).
  13. M. R. D'Orsogna, Y. L. Chuang, A. L. Bertozzi, and L. S. Chayes, Phys. Rev. Lett. 96, 104302 (2006).
  14. Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences, edited by G. Naldi, L. Pareschi, and G. Toscani (Birkhauser, Boston, 2010), pp. 297–336.
  15. A. A. Chepizhko and V. L. Kulinskii, Physica A 389, 5347 (2010).
  16. P. Degond, A. Frouvelle, and J.-G. Liu, Seminare Laurent Schwartz EDP Appl. 2012-2013, 1 (2013).
  17. D. Helbing, Rev. Mod. Phys. 73, 1067 (2001).
  18. D. Helbing, et al., Environ. Plan. B 28, 361 (2001).
  19. A. Johansson, D. Helbing, and K. Shukla, Adv. Complex Sys. 10, 271 (2007).
  20. F. Dietrich and G. Koster, Phys. Rev. E 89, 062801 (2014).
  21. D. Helbing and P. Molnár, Phys. Rev. E 51, 4282 (1995).
  22. D. Helbing, P. Molnar, and F. Schweitzer, Evol. Nat. Struct. 9, 229 (1994).
  23. D. Helbing et al., Pedestrian Evac. Dyn. 21(2), 21 (2002).
  24. A. Smith, Safety Sci. 47, 395 (2009).
  25. J. Zhang et al., J. Stat. Mech. (2011) P06004.
  26. S. Bouzat and M. N. Kuperman, Phys. Rev. E 89, 032806 (2014).
  27. S. Heliövaara, H. Ehtamo, D. Helbing, and T. Korhonen, Phys. Rev. E 87, 012802 (2013).
  28. D. Helbing, Complex Syst. 6, 391 (1992).
  29. D. Helbing, Physica A 193, 241 (1993).
  30. F. Thüroff, C. A. Weber, and E. Frey, Phys. Rev. Lett. 111, 190601 (2013).
  31. E. Bertim, M. Droz, and G. Gregoiro, J. Phys. A 42, 445001 (2009).
  32. J. Toner and Y. Tu, Phys. Rev. Lett. 75, 4326 (1995).
  33. J. Toner, Y. Tu, and S. Ramaswamy, Ann. Phys. (NY) 318, 170 (2005).
  34. M. C. Marchetti et al., Rev. Mod. Phys. 85, 1143 (2013).
  35. N. V. Brilliantov and T. Pöschel, Kinetic Theory of Granular Gases (Oxford University Press, Oxford, 2010).
  36. B. Kunwar, F. Simini, and A. Johansson, Phys. Rev. E 93, 032311 (2016).
  37. D. Helbing, I. Farkas, and T. Vicsek, Nature (London) 407, 487 (2000).
  38. C. A. Weber, F. Thüroff, and E. Frey, New J. Phys. 15, 045014 (2015).
  39. R.-Y. Guo et al., Transport. Res. Part B 46, 669 (2012).
  40. W. Kemloh et al., Adv. Complex Syst. 15, 1250029 (2012).
  41. W. J. Yu, R. Chen, L. Y. Dong, and S. Q. Dai, Phys. Rev. E 72, 026112 (2005).
  42. S. Cao, J. Zhang, D. Salden, J. Ma, C. Shi, and R. Zhang, Phys. Rev. E 94, 012312 (2016).
  43. X. Zheng, and Y. Cheng, Comput. Math. Appl. 62, 4627 (2011).
  44. M. Campanella et al., Transp. Res. Rec.: J. Transp. Res. Board 2124, 148 (2009).
  45. R. C. Hidalgo, D. R. Parisi, and I. Zuriguel, Phys. Rev. E 95, 042319 (2017).
  46. D. Helbing, A. Johansson, J. Mathiesen, M. H. Jensen, and A. Hansen, Phys. Rev. Lett. 97, 168001 (2006).
  47. A. Garcimartín, J. M. Pastor, L. M. Ferrer, J. J. Ramos, C. Martín-Gómez, and I. Zuriguel, Phys. Rev. E 91, 022808 (2015).
  48. R. Arévalo, I. Zuriguel, D. Maza, and A. Garcimartín, Phys. Rev. E 89, 042205 (2014).
  49. Tobias Kretz et al., J. Stat. Mech. (2006) P10014.
  50. C. Lozano, A. Janda, A. Garcimartín, D. Maza, and I. Zuriguel, Phys. Rev. E 86, 031306 (2012).
  51. I. Zuriguel, J. Olivares, J. M. Pastor, C. Martín-Gómez, L. M. Ferrer, J. J. Ramos, and A. Garcimartín, Phys. Rev. E 94, 032302 (2016).
  52. G. A. Frank and C. O. Dorso, Physica A 390, 2135 (2011).
  53. J. Starke et al., in 17th International IEEE Conference on Intelligent Transportation Systems (ITSC), Qinqdao, China, 2014 (IEEE, Piscataway, NJ, 2014), pp. 560–565.
  54. D. Helbing, I. J. Farkas, and T. Vicsek, Phys. Rev. Lett. 84, 1240 (2000).
  55. D. Chaudhuri, Phys. Rev. E 90, 022131 (2014).
  56. P. Romanczuk, and L. Schimansky-Geier, Phys. Rev. Lett. 106, 230601 (2011).
  57. H. E. Stanley, Nature (London) 404, 718 (2000).
  58. M. E. Cates, J. P. Wittmer, J.-P. Bouchaud, and P. Claudin, Phys. Rev. Lett 81, 1841 (1998).
  59. A. Santos, S. B. Yuste, M. L. de Haro, and Vitaliy Ogarko, Phys. Rev. E 96, 062603 (2017).
  60. Y. Fily and M. C. Marchetti, Phys. Rev. Lett. 108, 235702 (2012).
  61. H. Chaté, F. Ginelli, G. Grégoire, and F. Raynaud, Phys. Rev. E 77, 046113 (2008).
  62. M. Isobe, D. Helbing, and T. Nagatani, Phys. Rev. E 69, 066132 (2004).
  63. D. Helbing, A. Johansson, and H. Z. Al-Abideen, Phys. Rev. E 75, 046109 (2007).
  64. Y. Fukuzaki et al., A pedestrian flow analysis system using Wi-Fi packet sensors to a real environment, in Proceedings of the 2014 ACM International Joint Conference on Pervasive and Ubiquitous Computing: Adjunct Publication, Seattle, Washington, (ACM, New York, 2014), pp. 721–730.
  65. C. Mankoc, A. Garcimartín, I. Zuriguel, D. Maza, and L. A. Pugnaloni, Phys. Rev. E 80, 011309 (2009).
  66. V. Lobaskin and M. Romenskyy, Phys. Rev. E 87, 052135 (2013).
  67. I. Rhee et al., IEEE/ACM Trans. Netw. 19, 630 (2011).
  68. F. Zanlungo, D. Brscic, and T. Kanda, Phys. Rev. E 91, 062810 (2015).
  69. T. Shimada, D. Kadau, T. Shinbrot, and H. J. Herrmann, Phys. Rev. E 80, 020301(R) (2009).
  70. R.-Y. Guo and H.-J. Huang, J. Stat. Mech. (2011) P04018.
  71. L. Peng et al., Phys. Rev. Lett. 79, 026113 (2009).
  72. L. E. Aik, Int. J. Phys. Sci. 7, 180 (2012).
  73. L. E. Aik, Int. J. Phys. Sci. 6, 3218 (2011).
  74. L. Zhang, J. Wang, and S. Qiongyu, J. Sys. Sci. Complex 27, 430 (2014).
  75. A. Garcimartin et al., Sci. Rep. 7, 10792 (2017).
  76. O. Corradi et al., SIAM J. Appl. Dyn. Sys. 11, 1007 (2012).
  77. F. Radjai and S. Roux, Phys. Rev. Lett. 89, 064302 (2002).
  78. R. Großmann, P. Romanczuk, M. Bär, and L. Schimansky-Geier, Phys. Rev. Lett. 113, 258104 (2014).
  79. W. Yu and A. Johansson, Phys. Rev. E 76, 046105 (2007).

Outline

Information

Phys. Rev. E 97, 032319– Published 29 March, 2018
  • Received 3 July 2017
  • Revised 16 January 2018
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