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Modeling and simulation of alighting and boarding processes of passengers in metro stations

Author

Listed:
  • Jia, Yining
  • Chen, Qiyi
  • Fu, Libi
  • Zhang, Yu
  • Zhu, Tianpei
  • Shi, Yongqian
  • Li, Hongliu

Abstract

Subway efficiency is significantly affected by chaotic boarding and alighting processes. A modified Social Force Model (MSFM) is proposed to address this issue. The “Disembarking Precedes Embarking” (DPE) rule is integrated with microscopic mechanisms, such as body rotation and obstacle avoidance. Simulations are conducted using realistic spatial configurations. The model is validated against experimental data, and no significant difference is shown. Consequently, realistic passenger dynamics are effectively captured. It is observed that operation times are prolonged by non-compliance with the DPE rule of pedestrians. Furthermore, door congestion is maximized at a 1:1 boarding-to-alighting ratio. A strategy allowing alighting from the center and boarding from both sides is proven to be superior. This research will provide theoretical support for the design of public transit facilities and practical guidance strategies to enhance passenger flow and safety.

Suggested Citation

  • Jia, Yining & Chen, Qiyi & Fu, Libi & Zhang, Yu & Zhu, Tianpei & Shi, Yongqian & Li, Hongliu, 2026. "Modeling and simulation of alighting and boarding processes of passengers in metro stations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 685(C).
  • Handle: RePEc:eee:phsmap:v:685:y:2026:i:c:s0378437126000154
    DOI: 10.1016/j.physa.2026.131279
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    References listed on IDEAS

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    1. Xu, Qiancheng & Chraibi, Mohcine & Tordeux, Antoine & Zhang, Jun, 2019. "Generalized collision-free velocity model for pedestrian dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    2. Tan Chen & Wei Wang & Yu Tu & Xuedong Hua, 2020. "Modelling Unidirectional Crowd Motion in a Corridor with Statistical Characteristics of Pedestrian Movements," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-11, June.
    3. Ruben A. Kuipers & Carl-William Palmqvist & Nils O.E. Olsson & Lena Winslott Hiselius, 2021. "The passenger’s influence on dwell times at station platforms: a literature review," Transport Reviews, Taylor & Francis Journals, vol. 41(6), pages 721-741, November.
    4. Johansson, Fredrik & Peterson, Anders & Tapani, Andreas, 2015. "Waiting pedestrians in the social force model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 95-107.
    5. 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.
    6. Fu, Libi & Shi, Qingxin & Qin, Huigui & Zhang, Ying & Shi, Yongqian, 2022. "Analysis of movement behavior of pedestrian social groups through a bottleneck," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 608(P1).
    7. Guo, Ren-Yong, 2014. "Simulation of spatial and temporal separation of pedestrian counter flow through a bottleneck," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 415(C), pages 428-439.
    8. Jiajie Yu & Yanjie Ji & Liangpeng Gao & Qi Gao, 2019. "Optimization of Metro Passenger Organizing of Alighting and Boarding Processes: Simulated Evidence from the Metro Station in Nanjing, China," Sustainability, MDPI, vol. 11(13), pages 1-20, July.
    9. Shi, Yihan & Xu, Jie & Zhang, Hui & Jia, Limin & Qin, Yong, 2022. "Walking model on passenger in merging passage of subway station considering overtaking behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
    10. Kang, Zengxin & Zhang, Lei & Li, Kun, 2019. "An improved social force model for pedestrian dynamics in shipwrecks," Applied Mathematics and Computation, Elsevier, vol. 348(C), pages 355-362.
    11. Dirk Helbing & Illés Farkas & Tamás Vicsek, 2000. "Simulating dynamical features of escape panic," Nature, Nature, vol. 407(6803), pages 487-490, September.
    12. repec:plo:pone00:0169734 is not listed on IDEAS
    13. 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).
    14. Qu, Yunchao & Xiao, Yao & Liu, Hao & Yin, Haodong & Wu, Jianjun & Qu, Qiushi & Li, Daqing & Tang, Tao, 2019. "Analyzing crowd dynamic characteristics of boarding and alighting process in urban metro stations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 526(C).
    15. Li, Zitong & Lo, S.M. & Ma, Jian & Luo, X.W., 2020. "A study on passengers’ alighting and boarding process at metro platform by computer simulation," Transportation Research Part A: Policy and Practice, Elsevier, vol. 132(C), pages 840-854.
    16. Yang, Xiaoxia & Zhang, Rui & Pan, Fuquan & Yang, Yi & Li, Yongxing & Yang, Xiaoli, 2022. "Stochastic user equilibrium path planning for crowd evacuation at subway station based on social force model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 594(C).
    17. Yamamoto, Hiroki & Yanagisawa, Daichi & Feliciani, Claudio & Nishinari, Katsuhiro, 2019. "Body-rotation behavior of pedestrians for collision avoidance in passing and cross flow," Transportation Research Part B: Methodological, Elsevier, vol. 122(C), pages 486-510.
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