IDEAS home Printed from https://ideas.repec.org/a/hin/complx/7942483.html
   My bibliography  Save this article

Simulation Research on Safe Flow Rate of Bidirectional Crowds Using Bayesian-Nash Equilibrium

Author

Listed:
  • Can Liao
  • Kejun Zhu
  • Haixiang Guo
  • Jian Tang

Abstract

Current research on pedestrian flows has mainly focused on evacuation optimization during or after emergencies; however, crowd management before emergencies has received little attention. This paper examines the management of a Safe Pedestrian Flow Rate, in which the Bayesian-Nash Equilibrium mimics pedestrians’ decision-making, and a multiagent system is employed to reproduce pedestrians’ interactions. In the model, the pedestrian tunnel is divided into cells, with each pedestrian in a cell receiving a utility depending on the distance to the exit and the number of pedestrians in the cell. Then, each pedestrian uses the Bayesian-Nash Equilibrium to search for the target cell with maximum expected utility, moves in, and makes next decision until exiting the tunnel. The simulation model is calibrated and validated from a real scenario. Finally, from the experimental data collected from different simulation scenarios, this research reaches the conclusion that the Safe Pedestrian Flow Rate increases by about 2.96ped/s as the tunnel width expanded by 1m. This paper offers a novel method for reducing potential losses caused by crowd emergencies and can be a valuable reference for managing pedestrian flows and designing public places.

Suggested Citation

  • Can Liao & Kejun Zhu & Haixiang Guo & Jian Tang, 2019. "Simulation Research on Safe Flow Rate of Bidirectional Crowds Using Bayesian-Nash Equilibrium," Complexity, Hindawi, vol. 2019, pages 1-15, January.
    • Handle: RePEc:hin:complx:7942483
    DOI: 10.1155/2019/7942483
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/8503/2019/7942483.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/8503/2019/7942483.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2019/7942483?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
    ---><---

    References listed on IDEAS

    as
    1. Abdelghany, Ahmed & Abdelghany, Khaled & Mahmassani, Hani & Alhalabi, Wael, 2014. "Modeling framework for optimal evacuation of large-scale crowded pedestrian facilities," European Journal of Operational Research, Elsevier, vol. 237(3), pages 1105-1118.
    2. Huang, Ling & Wong, S.C. & Zhang, Mengping & Shu, Chi-Wang & Lam, William H.K., 2009. "Revisiting Hughes' dynamic continuum model for pedestrian flow and the development of an efficient solution algorithm," Transportation Research Part B: Methodological, Elsevier, vol. 43(1), pages 127-141, January.
    3. 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.
    4. Guan, Junbiao & Wang, Kaihua & Chen, Fangyue, 2016. "A cellular automaton model for evacuation flow using game theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 655-661.
    5. Li, Shuying & Zhuang, Jun & Shen, Shifei & Wang, Jia, 2017. "Driving-forces model on individual behavior in scenarios considering moving threat agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 481(C), pages 127-140.
    6. Pereira, L.A. & Burgarelli, D. & Duczmal, L.H. & Cruz, F.R.B., 2017. "Emergency evacuation models based on cellular automata with route changes and group fields," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 97-110.
    7. 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.
    8. von Krüchten, Cornelia & Schadschneider, Andreas, 2017. "Empirical study on social groups in pedestrian evacuation dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 475(C), pages 129-141.
    9. Hughes, Roger L., 2002. "A continuum theory for the flow of pedestrians," Transportation Research Part B: Methodological, Elsevier, vol. 36(6), pages 507-535, July.
    10. 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.
    11. Huang, Keke & Zheng, Xiaoping, 2017. "A weighted evolving network model for pedestrian evacuation," Applied Mathematics and Computation, Elsevier, vol. 298(C), pages 57-64.
    12. Shunqiang Ye & Lu Wang & Kang Hao Cheong & Nenggang Xie, 2017. "Pedestrian Group-Crossing Behavior Modeling and Simulation Based on Multidimensional Dirty Faces Game," Complexity, Hindawi, vol. 2017, pages 1-12, December.
    13. Goldsztein, Guillermo H., 2017. "Crowd of individuals walking in opposite directions. A toy model to study the segregation of the group into lanes of individuals moving in the same direction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 162-173.
    14. 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.
    15. Guo, Fang & Li, Xingli & Kuang, Hua & Bai, Yang & Zhou, Huaguo, 2016. "An extended cost potential field cellular automata model considering behavior variation of pedestrian flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 630-640.
    16. Zeng, Guang & Cao, Shuchao & Liu, Chi & Song, Weiguo, 2018. "Experimental and modeling study on relation of pedestrian step length and frequency under different headways," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 500(C), pages 237-248.
    17. 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.
    18. Haghani, Milad & Sarvi, Majid, 2017. "Stated and revealed exit choices of pedestrian crowd evacuees," Transportation Research Part B: Methodological, Elsevier, vol. 95(C), pages 238-259.
    19. Li, Yan & Liu, Hong & Liu, Guang-peng & Li, Liang & Moore, Philip & Hu, Bin, 2017. "A grouping method based on grid density and relationship for crowd evacuation simulation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 319-336.
    Full references (including those not matched with items on IDEAS)

    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. Geng, Zhongfei & Li, Xingli & Kuang, Hua & Bai, Xuecen & Fan, Yanhong, 2019. "Effect of uncertain information on pedestrian dynamics under adverse sight conditions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 681-691.
    2. 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.
    3. 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.
    4. 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).
    5. Jiang, Yan-Qun & Zhou, Shu-Guang & Duan, Ya-Li & Huang, Xiao-Qian, 2023. "A viscous continuum model with smoke effect for pedestrian evacuation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 621(C).
    6. Hu, Xiangmin & Chen, Tao & Deng, Kaifeng & Wang, Guanning, 2023. "Effects of aggressiveness on pedestrian room evacuation using extended cellular automata model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 619(C).
    7. Jiang, Yan-Qun & Hu, Ying-Gang & Huang, Xiaoqian, 2022. "Modeling pedestrian flow through a bottleneck based on a second-order continuum model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 608(P1).
    8. 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.
    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. Chen, Anying & He, Jingtao & Liang, Manchun & Su, Guofeng, 2020. "Crowd response considering herd effect and exit familiarity under emergent occasions: A case study of an evacuation drill experiment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 556(C).
    11. 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).
    12. Sun, Yutong & Liu, Hong, 2021. "Crowd evacuation simulation method combining the density field and social force model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).
    13. Zou, Baobao & Lu, Chunxia & Mao, Shirong & Li, Yi, 2020. "Effect of pedestrian judgement on evacuation efficiency considering hesitation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 547(C).
    14. Tianran Han & Jianming Zhao & Wenquan Li, 2020. "Smart-Guided Pedestrian Emergency Evacuation in Slender-Shape Infrastructure with Digital Twin Simulations," Sustainability, MDPI, vol. 12(22), pages 1-18, November.
    15. Leng, Biao & Wang, Jianyuan & Xiong, Zhang, 2015. "Pedestrian simulations in hexagonal cell local field model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 438(C), pages 532-543.
    16. 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.
    17. Zheng, Ying & Li, Xingang & Zhu, Nuo & Jia, Bin & Jiang, Rui, 2018. "Evacuation dynamics with smoking diffusion in three dimension based on an extended Floor-Field model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 507(C), pages 414-426.
    18. 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).
    19. Xianing Wang & Zhan Zhang & Ying Wang & Jun Yang & Linjun Lu, 2022. "A Study on Safety Evaluation of Pedestrian Flows Based on Partial Impact Dynamics by Real-Time Data in Subway Stations," Sustainability, MDPI, vol. 14(16), pages 1-19, August.
    20. Gao, Dong Li & Xie, Wei & Ming Lee, Eric Wai, 2022. "Individual-level exit choice behaviour under uncertain risk," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 604(C).

    More about this item

    Statistics

    Access and download statistics

    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:hin:complx:7942483. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    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.