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Simulation for pedestrian dynamics by real-coded cellular automata (RCA)

Author

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  • Yamamoto, Kazuhiro
  • Kokubo, Satoshi
  • Nishinari, Katsuhiro

Abstract

In this paper, we propose a new approach for pedestrian dynamics. We call it a real-coded cellular automata (RCA). The scheme is based on the real-coded lattice gas (RLG), which has been developed for fluid simulation. Similar to RLG, the position and velocity can be freely given, independent of grid points. Our strategy including the procedure for updating the position of each pedestrian is explained. It is shown that the movement of pedestrians in an oblique direction to the grid is successfully simulated by RCA, which was not taken into account in the previous CA models. Moreover, from simulations of evacuation from a room with an exit of various widths, we obtain the critical number of people beyond which the clogging appears at the exit.

Suggested Citation

  • Yamamoto, Kazuhiro & Kokubo, Satoshi & Nishinari, Katsuhiro, 2007. "Simulation for pedestrian dynamics by real-coded cellular automata (RCA)," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(2), pages 654-660.
    • Handle: RePEc:eee:phsmap:v:379:y:2007:i:2:p:654-660
    DOI: 10.1016/j.physa.2007.02.040
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    References listed on IDEAS

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    Cited by:

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    7. Kim, Jooyoung & Ahn, Chiwon & Lee, Seungjae, 2018. "Modeling handicapped pedestrians considering physical characteristics using cellular automaton," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 507-517.
    8. Abdelghany, Ahmed & Abdelghany, Khaled & Mahmassani, Hani, 2016. "A hybrid simulation-assignment modeling framework for crowd dynamics in large-scale pedestrian facilities," Transportation Research Part A: Policy and Practice, Elsevier, vol. 86(C), pages 159-176.
    9. Henein, Colin Marc & White, Tony, 2010. "Microscopic information processing and communication in crowd dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4636-4653.
    10. Zheng, Ying & Jia, Bin & Li, Xin-Gang & Zhu, Nuo, 2011. "Evacuation dynamics with fire spreading based on cellular automaton," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(18), pages 3147-3156.
    11. Hou, Lei & Liu, Jian-Guo & Pan, Xue & Wang, Bing-Hong, 2014. "A social force evacuation model with the leadership effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 400(C), pages 93-99.
    12. Zheng, Xiaoping & Li, Wei & Guan, Chao, 2010. "Simulation of evacuation processes in a square with a partition wall using a cellular automaton model for pedestrian dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(11), pages 2177-2188.
    13. Feliciani, Claudio & Nishinari, Katsuhiro, 2016. "An improved Cellular Automata model to simulate the behavior of high density crowd and validation by experimental data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 451(C), pages 135-148.
    14. Huan-Huan, Tian & Li-Yun, Dong & Yu, Xue, 2015. "Influence of the exits’ configuration on evacuation process in a room without obstacle," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 420(C), pages 164-178.
    15. Ha, Vi & Lykotrafitis, George, 2012. "Agent-based modeling of a multi-room multi-floor building emergency evacuation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(8), pages 2740-2751.
    16. Yue, Hao & Guan, Hongzhi & Zhang, Juan & Shao, Chunfu, 2010. "Study on bi-direction pedestrian flow using cellular automata simulation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(3), pages 527-539.
    17. Kaji, Masaru & Inohara, Takehiro, 2017. "Cellular automaton simulation of unidirectional pedestrians flow in a corridor to reproduce the unique velocity profile of Hagen–Poiseuille flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 467(C), pages 85-95.
    18. Tian, Huan-huan & Wei, Yan-fang & Dong, Li-yun & Xue, Yu & Zheng, Rong-sen, 2018. "Resolution of conflicts in cellular automaton evacuation model with the game-theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 991-1006.
    19. Li, Shuang & Yu, Xiaohui & Zhang, Yanjuan & Zhai, Changhai, 2018. "A numerical simulation strategy on occupant evacuation behaviors and casualty prediction in a building during earthquakes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 1238-1250.
    20. Li, Shuang & Zhai, Changhai & Xie, Lili, 2015. "Occupant evacuation and casualty estimation in a building under earthquake using cellular automata," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 424(C), pages 152-167.
    21. Moonsoo Ko & Taewan Kim & Keemin Sohn, 2013. "Calibrating a social-force-based pedestrian walking model based on maximum likelihood estimation," Transportation, Springer, vol. 40(1), pages 91-107, January.

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