IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v204y2026ics0960077925017722.html

An improved model for dynamic analysis of merging flow including luggage-laden pedestrians in Y-shaped corridors

Author

Listed:
  • Chen, Yunqian
  • Shi, Yizhi
  • Fu, Libi
  • Zhu, Tianpei
  • Jia, Yining
  • Deng, Meiqi
  • Shi, Yongqian

Abstract

Transportation hubs exhibit complex spatial configurations, generating multi-directional pedestrian flows in merging areas. Meanwhile, the heterogeneity of individual behavior further complicates pedestrian dynamics. Based on practical observations, this research establishes a modified social force model to investigate nonlinear dynamics of merging flow including luggage-laden pedestrians in Y-shaped corridors under different merging angles. Passing time and time evolution of the number of pedestrians confirms the consistency between the simulation model and an experiment. Evidently, when the total number of pedestrians increases, the flow rate shows no significant growth trend in the downstream. Meanwhile, it is observed that the flow rate in angle 45° is higher than others. Time headway further confirms this phenomenon, indicating that there is a correlation between the merging efficiency and the width of the main passage. Consistent with the previous experiment, the inverse relationship between passing performance and the proportions of luggage-laden pedestrians exists in the model. Furthermore, luggage-laden pedestrians maintain significantly larger interpersonal distance than pedestrians without luggage. The distribution of crowd pressure exhibits an increasing trend along the exit direction, and the distribution is similar to the shape of two adjacent droplets. In addition, the result reveals that the total number of pedestrians and the mixture ratios of luggage-laden pedestrians are positively correlated with crowd pressure. It is hoped that these findings will be helpful for mitigating congestion and improving pedestrian safety in merging infrastructure.

Suggested Citation

  • Chen, Yunqian & Shi, Yizhi & Fu, Libi & Zhu, Tianpei & Jia, Yining & Deng, Meiqi & Shi, Yongqian, 2026. "An improved model for dynamic analysis of merging flow including luggage-laden pedestrians in Y-shaped corridors," Chaos, Solitons & Fractals, Elsevier, vol. 204(C).
  • Handle: RePEc:eee:chsofr:v:204:y:2026:i:c:s0960077925017722
    DOI: 10.1016/j.chaos.2025.117758
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077925017722
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2025.117758?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

    for a different version of it.

    References listed on IDEAS

    as
    1. Ningbo Cao & Liying Zhao & Mingtao Chen & Ruiqi Luo, 2020. "Fuzzy Social Force Model for Pedestrian Evacuation under View-Limited Condition," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-16, November.
    2. Tajima, Yusuke & Nagatani, Takashi, 2001. "Scaling behavior of crowd flow outside a hall," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 292(1), pages 545-554.
    3. 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.
    4. Cao Ningbo & Wei Wei & Qu Zhaowei & Zhao Liying & Bai Qiaowen, 2017. "Simulation of Pedestrian Crossing Behaviors at Unmarked Roadways Based on Social Force Model," Discrete Dynamics in Nature and Society, Hindawi, vol. 2017, pages 1-15, September.
    5. Fu, Libi & Chen, Yunqian & Qin, Huigui & Chen, Qiyi & He, Yangjian & Shi, Yongqian, 2023. "Dynamics of merging flow involving luggage-laden pedestrians in a Y-shaped corridor: An experimental study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 628(C).
    6. Dirk Helbing & Illés Farkas & Tamás Vicsek, 2000. "Simulating dynamical features of escape panic," Nature, Nature, vol. 407(6803), pages 487-490, September.
    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. Shi, Yihan & Xu, Jie & Zhang, Hui & Jia, Limin & Qin, Yong, 2022. "Empirical investigation on turning behavior of passengers in subway station," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 606(C).
    9. 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.
    10. Shabna SayedMohammed & Anshi Verma & Charitha Dias & Wael Alhajyaseen & Abdulkarim Almukdad & Kayvan Aghabayk, 2022. "Crowd Evacuation through Crossing Configurations: Effect of Crossing Angles and Walking Speeds on Speed Variation and Evacuation Time," Sustainability, MDPI, vol. 14(22), pages 1-21, November.
    11. Zhi Ming Fang & Wei Lv & Li-Xue Jiang & Qing-Feng Xu & Wei-Guo Song, 2015. "Observation, simulation and optimization of the movement of passengers with baggage in railway station," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 26(11), pages 1-15.
    12. Cheng-Jie Jin & Ke-Da Shi & Shu-Yi Fang, 2023. "Simulation of Single-File Pedestrian Flow under High-Density Condition by a Modified Social Force Model," Sustainability, MDPI, vol. 15(11), pages 1-15, May.
    13. Shahhoseini, Zahra & Sarvi, Majid, 2019. "Pedestrian crowd flows in shared spaces: Investigating the impact of geometry based on micro and macro scale measures," Transportation Research Part B: Methodological, Elsevier, vol. 122(C), pages 57-87.
    14. Jin, Cheng-Jie & Shi, Ke-Da & Jiang, Rui & Li, Dawei & Fang, Shuyi, 2023. "Simulation of bi-directional pedestrian flow under high densities using a modified social force model," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    15. Liang, Mengdi & Xu, Jie & Jia, Limin & Qin, Yong, 2020. "An improved model of passenger merging in a Y-shaped passage," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    16. Fu, Libi & Zhang, Ying & Qin, Huigui & Shi, Qingxin & Chen, Qiyi & Chen, Yunqian & Shi, Yongqian, 2023. "A modified social force model for studying nonlinear dynamics of pedestrian-e-bike mixed flow at a signalized crosswalk," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    17. Shi, Zhigang & Zhang, Jun & Shang, Zhigang & Song, Weiguo, 2024. "Collision avoidance behaviours of luggage-laden pedestrians," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 639(C).
    18. Parisi, Daniel R. & Gilman, Marcelo & Moldovan, Herman, 2009. "A modification of the Social Force Model can reproduce experimental data of pedestrian flows in normal conditions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(17), pages 3600-3608.
    19. Fu, Libi & Qin, Huigui & He, Yangjian & Shi, Yongqian, 2024. "Application of the social force modelling method to evacuation dynamics involving pedestrians with disabilities," Applied Mathematics and Computation, Elsevier, vol. 460(C).
    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. 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.
    2. Tian, Jiangtao & Li, Xingli & Guo, Qinghua & Kuang, Hua, 2024. "Dynamics characteristic of pedestrians’ particular overtaking behavior based on an improved social force model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 643(C).
    3. Yu, Hanchen & Jiang, Nan & Gao, Dongli & Shi, Jixin & Yang, Hongyun & Lee, Eric Wai Ming & Yang, Lizhong, 2025. "Exploring asymmetric and symmetric pedestrian merging dynamics: Macro parameters and micro behavioral adaptations from single-file experiment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 677(C).
    4. Ma, Haonan & Li, Wenhang & Gong, Jianhua & Li, Yabin & Qin, Cheng & Zhang, Jingyi, 2026. "The impact of spatial redundancy and merging conflicts on crowd movement patterns: An empirical study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 684(C).
    5. Yu, Hanchen & Jiang, Nan & Shi, Jixin & Yang, Hongyun & Lee, Eric Wai Ming & Yang, Lizhong, 2025. "The effects of upstream guardrail layouts on regulating pedestrian merging flow," Chaos, Solitons & Fractals, Elsevier, vol. 196(C).
    6. 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).
    7. Yang, Junheng & Zang, Xiaodong & Chen, Weiying & Luo, Qiang & Wang, Rui & Liu, Yuanqian, 2024. "Improved social force model based on pedestrian collision avoidance behavior in counterflow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 642(C).
    8. 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.
    9. Zhang, Zhao & Fei, Yuhan & Fu, Daocheng, 2024. "A deep reinforcement learning traffic control model for Pedestrian and vehicle evacuation in the parking lot," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 646(C).
    10. 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.
    11. Xiao, Tianyi & Mu, Tong & Shen, Sunle & Song, Yiming & Yang, Shufan & He, Jie, 2022. "A dynamic physical-distancing model to evaluate spatial measures for prevention of Covid-19 spread," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 592(C).
    12. 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.
    13. 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.
    14. Guo, Chenglin & Huo, Feizhou & Deng, Shihan & Huang, Jianan & Zhang, Wei, 2024. "An evacuation model considering pedestrian group behavior under violent attacks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 656(C).
    15. 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.
    16. Yu, Hanchen & Lee, Eric Wai Ming & Jiang, Nan & Shi, Jixin & Xie, Weiheng & Yang, Hongyun & Yang, Lizhong, 2026. "Analysis of pairwise pedestrian collision avoidance dynamics in T-junctions with different merging setups," Chaos, Solitons & Fractals, Elsevier, vol. 203(C).
    17. 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.
    18. 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.
    19. Shi, Zhigang & Zhang, Jun & Shang, Zhigang & Song, Weiguo, 2024. "Collision avoidance behaviours of luggage-laden pedestrians," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 639(C).
    20. Yu, Tao & Jie, Mengxuan & Zhao, Liqiang & Tang, Shuixiong & Tang, Jinjin, 2025. "Modeling the self-organizing dynamics of pedestrian flow in subway stations under the constraints of guide barriers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 680(C).

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:eee:chsofr:v:204:y:2026:i:c:s0960077925017722. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.