IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v424y2015icp283-293.html
   My bibliography  Save this article

An extended mobile lattice gas model allowing pedestrian step size variable

Author

Listed:
  • Shang, Hua-Yan
  • Huang, Hai-Jun
  • Zhang, Yi-Ming

Abstract

An extended mobile lattice gas model with consideration of the pedestrian’s variable walking step size is proposed in this paper. The model first scans various possible step sizes and then determines the movement directions in terms of probabilities which consider the step size factor. Simulation results from a room with one exit show that pedestrians with variable step size can evacuate more quickly than those with fixed step size. The proposed model is applied in a real situation where passengers move in channels of a subway station for line transfer or evacuation. We also investigate four commonly used flow management measures and discuss their effectiveness.

Suggested Citation

  • Shang, Hua-Yan & Huang, Hai-Jun & Zhang, Yi-Ming, 2015. "An extended mobile lattice gas model allowing pedestrian step size variable," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 424(C), pages 283-293.
    • Handle: RePEc:eee:phsmap:v:424:y:2015:i:c:p:283-293
    DOI: 10.1016/j.physa.2015.01.006
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437115000084
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2015.01.006?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Lei, Wenjun & Li, Angui & Gao, Ran & Hao, Xinpeng & Deng, Baoshun, 2012. "Simulation of pedestrian crowds’ evacuation in a huge transit terminal subway station," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(22), pages 5355-5365.
    2. Guo, R.Y. & Huang, H.J., 2008. "A mobile lattice gas model for simulating pedestrian evacuation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(2), pages 580-586.
    3. Guo, Ren-Yong, 2014. "New insights into discretization effects in cellular automata models for pedestrian evacuation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 400(C), pages 1-11.
    4. Hua-Yan Shang & Hai-Jun Huang & Wen-Xiang Wu, 2012. "Effects Of Right-Turn Vehicles On Traffic Flow," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 23(02), pages 1-13.
    5. Dirk Helbing & Illés Farkas & Tamás Vicsek, 2000. "Simulating dynamical features of escape panic," Nature, Nature, vol. 407(6803), pages 487-490, September.
    6. Maniccam, S, 2003. "Traffic jamming on hexagonal lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 321(3), pages 653-664.
    7. Muramatsu, Masakuni & Nagatani, Takashi, 2000. "Jamming transition in two-dimensional pedestrian traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 275(1), pages 281-291.
    8. Burstedde, C & Klauck, K & Schadschneider, A & Zittartz, J, 2001. "Simulation of pedestrian dynamics using a two-dimensional cellular automaton," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(3), pages 507-525.
    9. 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.
    10. 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.
    11. Nagatani, Takashi & Nagai, Ryoichi, 2004. "Statistical characteristics of evacuation without visibility in random walk model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 341(C), pages 638-648.
    12. Nishinari, Katsuhiro & Sugawara, Ken & Kazama, Toshiya & Schadschneider, Andreas & Chowdhury, Debashish, 2006. "Modelling of self-driven particles: Foraging ants and pedestrians," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 372(1), pages 132-141.
    13. Li, Xiaomeng & Chen, Tao & Pan, Lili & Shen, Shifei & Yuan, Hongyong, 2008. "Lattice gas simulation and experiment study of evacuation dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(22), pages 5457-5465.
    14. Muramatsu, Masakuni & Irie, Tunemasa & Nagatani, Takashi, 1999. "Jamming transition in pedestrian counter flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 267(3), pages 487-498.
    15. Jiang, Rui & Wu, Qing-Song, 2007. "Pedestrian behaviors in a lattice gas model with large maximum velocity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 373(C), pages 683-693.
    16. Wan, Jiahui & Sui, Jie & Yu, Hua, 2014. "Research on evacuation in the subway station in China based on the Combined Social Force Model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 394(C), pages 33-46.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Huo, Feizhou & Li, Yufei & Li, Chao & Ma, Yaping, 2022. "An extended model describing pedestrian evacuation considering pedestrian crowding and stampede behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 604(C).
    2. Dong, Shiyu & Huang, Ping & Wang, Wei, 2022. "An optimization method for evacuation guidance under limited visual field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).
    3. Liu, Qian, 2018. "The effect of dedicated exit on the evacuation of heterogeneous pedestrians," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 305-323.
    4. Li, Xingli & Guo, Fang & Kuang, Hua & Zhou, Huaguo, 2017. "Effect of psychological tension on pedestrian counter flow via an extended cost potential field cellular automaton model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 487(C), pages 47-57.
    5. Yu, Hang & Li, Xintong & Song, Weiguo & Zhang, Jun & Li, Xudong & Xu, Han & Jiang, Kechun, 2022. "Pedestrian emergency evacuation model based on risk field under attack event," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 606(C).
    6. Zhang, Jianxin & Liu, Hong & Li, Yan & Qin, Xin & Wang, Shouna, 2018. "Video-driven group behavior simulation based on social comparison theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 620-634.
    7. Yang, Xiaoxia & Yang, Xiaoli & Xue, Shuqi & Zhang, Jihui & Pan, Fuquan & Kang, Yuanlei & Wang, Qianling, 2019. "The effect of waiting area design at the metro platform on passengers’ alighting and boarding behaviors," Applied Mathematics and Computation, Elsevier, vol. 358(C), pages 177-193.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Li, Jun & Fu, Siyao & He, Haibo & Jia, Hongfei & Li, Yanzhong & Guo, Yi, 2015. "Simulating large-scale pedestrian movement using CA and event driven model: Methodology and case study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 437(C), pages 304-321.
    2. Guo, Xiwei & Chen, Jianqiao & Zheng, Yaochen & Wei, Junhong, 2012. "A heterogeneous lattice gas model for simulating pedestrian evacuation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(3), pages 582-592.
    3. Tang, Ming & Jia, Hongfei & Ran, Bin & Li, Jun, 2016. "Analysis of the pedestrian arching at bottleneck based on a bypassing behavior model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 453(C), pages 242-258.
    4. Li, Xiao-Yang & Lin, Zhi-Yang & Zhang, Peng & Zhang, Xiao-Ning, 2023. "Reconstruction of density and cost potential field of Eikonal equation: Applications to discrete pedestrian flow models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 629(C).
    5. Ma, Yi & Yuen, Richard Kwok Kit & Lee, Eric Wai Ming, 2016. "Effective leadership for crowd evacuation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 450(C), pages 333-341.
    6. Li, Xingli & Guo, Fang & Kuang, Hua & Geng, Zhongfei & Fan, Yanhong, 2019. "An extended cost potential field cellular automaton model for pedestrian evacuation considering the restriction of visual field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 47-56.
    7. Han, Yanbin & Liu, Hong, 2017. "Modified social force model based on information transmission toward crowd evacuation simulation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 499-509.
    8. 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.
    9. 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.
    10. 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).
    11. Li, Chuan-Yao & Yang, Rui-Yu & Xu, Guang-ming, 2019. "Impacts of group behavior on boarding process at the platform of high speed railway station," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    12. Fang, Jun & Qin, Zheng & Hu, Hao & Xu, Zhaohui & Li, Huan, 2012. "The fundamental diagram of pedestrian model with slow reaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(23), pages 6112-6120.
    13. Guo, Ning & Hu, Mao-Bin & Jiang, Rui, 2017. "Impact of variable body size on pedestrian dynamics by heuristics-based model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 109-114.
    14. Miyagawa, Daiki & Ichinose, Genki, 2020. "Cellular automaton model with turning behavior in crowd evacuation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).
    15. Liu, Qian, 2018. "A social force model for the crowd evacuation in a terrorist attack," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 502(C), pages 315-330.
    16. Ma, Liang & Chen, Bin & Wang, Xiaodong & Zhu, Zhengqiu & Wang, Rongxiao & Qiu, Xiaogang, 2019. "The analysis on the desired speed in social force model using a data driven approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 894-911.
    17. Li, Yang & Chen, Maoyin & Zheng, Xiaoping & Dou, Zhan & Cheng, Yuan, 2020. "Relationship between behavior aggressiveness and pedestrian dynamics using behavior-based cellular automata model," Applied Mathematics and Computation, Elsevier, vol. 371(C).
    18. Yu Song & Jia Liu & Qian Liu, 2021. "Dynamic Decision-Making Process of Evacuees during Post-Earthquake Evacuation near an Automatic Flap Barrier Gate System: A Broken Windows Perspective," Sustainability, MDPI, vol. 13(16), pages 1-19, August.
    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. Zhao, Yongxiang & Li, Meifang & Lu, Xin & Tian, Lijun & Yu, Zhiyong & Huang, Kai & Wang, Yana & Li, Ting, 2017. "Optimal layout design of obstacles for panic evacuation using differential evolution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 175-194.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:424:y:2015:i:c:p:283-293. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.