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Jamming transition of pedestrian traffic at a crossing with open boundaries

Author

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  • Muramatsu, Masakuni
  • Nagatani, Takashi

Abstract

Pedestrian traffic at a crossing is investigated under the open boundary condition by the use of the lattice gas model of biased random walkers without the back step. The four types of walkers interact with each other at the crossing where there are random walkers going to the right, left, up, and down. It is found that a dynamical jamming transition from the moving state at low density to the stopped state at high density occurs at the critical density. The transition point depends on the strength of drift and decreases with increasing drift. The transition point does not depend on the length of roads connecting the crossing for the long road. Also, the pedestrian traffic with two types of walkers is studied where there are random walkers going to the right and up. It is compared with the pedestrian traffic with the four types of random walkers.

Suggested Citation

  • Muramatsu, Masakuni & Nagatani, Takashi, 2000. "Jamming transition of pedestrian traffic at a crossing with open boundaries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 286(1), pages 377-390.
    • Handle: RePEc:eee:phsmap:v:286:y:2000:i:1:p:377-390
    DOI: 10.1016/S0378-4371(00)00336-8
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    Citations

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    Cited by:

    1. Varas, A. & Cornejo, M.D. & Mainemer, D. & Toledo, B. & Rogan, J. & Muñoz, V. & Valdivia, J.A., 2007. "Cellular automaton model for evacuation process with obstacles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(2), pages 631-642.
    2. Sun, Yi, 2020. "Kinetic Monte Carlo simulations of bi-direction pedestrian flow with different walk speeds," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).
    3. Song, Weiguo & Xu, Xuan & Wang, Bing-Hong & Ni, Shunjiang, 2006. "Simulation of evacuation processes using a multi-grid model for pedestrian dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 363(2), pages 492-500.
    4. 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.
    5. Haghani, Milad, 2021. "The knowledge domain of crowd dynamics: Anatomy of the field, pioneering studies, temporal trends, influential entities and outside-domain impact," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 580(C).
    6. 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.
    7. Ma, Peijie & Jiang, Yanqun & Zhu, Junfang & Chen, Bokui, 2019. "The effect of escape signs on the pedestrians evacuation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    8. Guo, Xiwei & Chen, Jianqiao & You, Suozhu & Wei, Junhong, 2013. "Modeling of pedestrian evacuation under fire emergency based on an extended heterogeneous lattice gas model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(9), pages 1994-2006.
    9. Sun, Yi, 2018. "Kinetic Monte Carlo simulations of two-dimensional pedestrian flow models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 836-847.
    10. Ma, Jian & Song, Wei-guo & Zhang, Jun & Lo, Siu-ming & Liao, Guang-xuan, 2010. "k-Nearest-Neighbor interaction induced self-organized pedestrian counter flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(10), pages 2101-2117.
    11. Zhang, Jun & Song, Weiguo & Xu, Xuan, 2008. "Experiment and multi-grid modeling of evacuation from a classroom," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(23), pages 5901-5909.
    12. Sun, Yi, 2019. "Simulations of bi-direction pedestrian flow using kinetic Monte Carlo methods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 519-531.
    13. Wang, Li & Liu, Mao & Meng, Bo, 2013. "Incorporating topography in a cellular automata model to simulate residents evacuation in a mountain area in China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(3), pages 520-528.
    14. Li, Xiang & Sun, Jian-Qiao, 2014. "Effect of interactions between vehicles and pedestrians on fuel consumption and emissions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 661-675.
    15. Li, Xiang & Sun, Jian-Qiao, 2016. "Effects of vehicle–pedestrian interaction and speed limit on traffic performance of intersections," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 460(C), pages 335-347.
    16. Qiu, Guo & Song, Rui & He, Shiwei & Yin, Weichuan, 2018. "The pedestrian flow characteristics of Y-shaped channel," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 199-212.
    17. Lei, Wenjun & Li, Angui & Gao, Ran & Zhou, Ning & Mei, Sen & Tian, Zhenguo, 2012. "Experimental study and numerical simulation of evacuation from a dormitory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(21), pages 5189-5196.
    18. 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.
    19. Jin, Cheng-Jie & Jiang, Rui & Wei, Wei & Li, Dawei & Guo, Ning, 2018. "Microscopic events under high-density condition in uni-directional pedestrian flow experiment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 237-247.
    20. Zhang, Xinwei & Zhang, Peihong & Zhong, Maohua, 2021. "A dual adaptive cellular automaton model based on a composite field and pedestrian heterogeneity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 583(C).

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