IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v350y2005i2p563-576.html
   My bibliography  Save this article

Bunching and transition of vehicles controlled by a sequence of traffic lights

Author

Listed:
  • Nagatani, Takashi

Abstract

We study the dynamical behavior of many vehicles with different desired velocities, moving through a sequence of traffic lights on a single-lane highway, where the traffic lights turn on and off periodically with the synchronized strategy. The dynamics of vehicular traffic controlled by traffic lights is described in terms of the nonlinear maps. For specific values of cycle time, the group (cluster) of vehicles exhibits the bunching without extending over the highway. It is found that two types of traffic states appear: the one is the bunching traffic and the other is the extended traffic. In the bunching traffic, all vehicles move together with the same tour time, while vehicles spread over the highway in the extended traffic. The dynamical transition between two traffic states occurs at specific values of cycle time. The phase diagram (region map) is presented.

Suggested Citation

  • Nagatani, Takashi, 2005. "Bunching and transition of vehicles controlled by a sequence of traffic lights," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 350(2), pages 563-576.
    • Handle: RePEc:eee:phsmap:v:350:y:2005:i:2:p:563-576
    DOI: 10.1016/j.physa.2004.11.045
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437104014876
    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.2004.11.045?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. Weifeng, Fang & Lizhong, Yang & Weicheng, Fan, 2003. "Simulation of bi-direction pedestrian movement using a cellular automata model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 321(3), pages 633-640.
    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. Yang, Jianguo & Deng, Wen & Wang, Jinmei & Li, Qingfeng & Wang, Zhaoan, 2006. "Modeling pedestrians' road crossing behavior in traffic system micro-simulation in China," Transportation Research Part A: Policy and Practice, Elsevier, vol. 40(3), pages 280-290, March.
    2. Feliciani, Claudio & Nishinari, Katsuhiro, 2016. "An improved Cellular Automata model to simulate the behavior of high density crowd and validation by experimental data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 451(C), pages 135-148.
    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. Yuan, Weifeng & Tan, Kang Hai, 2011. "A model for simulation of crowd behaviour in the evacuation from a smoke-filled compartment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4210-4218.
    5. Zhou, Xuemei & Hu, Jingjie & Ji, Xiangfeng & Xiao, Xiongziyan, 2019. "Cellular automaton simulation of pedestrian flow considering vision and multi-velocity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 982-992.
    6. Li, Jialin & Sun, Zijie & Zhang, Yaping, 2024. "Study on departure passenger movement during security check process at airport terminal based on an improved cellular automata model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 633(C).
    7. 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.
    8. Ding, Ning & Zhu, Yu & Liu, Xinyan & Dong, Dapeng & Wang, Yang, 2024. "A modified social force model for crowd evacuation considering collision predicting behaviors," Applied Mathematics and Computation, Elsevier, vol. 466(C).
    9. Li, Zhenning & Xu, Chengzhong & Bian, Zilin, 2022. "A force-driven model for passenger evacuation in bus fires," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 589(C).
    10. 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.
    11. Yue, Hao & Hao, Herui & Chen, Xiaoming & Shao, Chunfu, 2007. "Simulation of pedestrian flow on square lattice based on cellular automata model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 384(2), pages 567-588.
    12. Nagai, Ryoichi & Nagatani, Takashi & Taniguchi, Naoki, 2005. "Traffic states and jamming transitions induced by a bus in two-lane traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 350(2), pages 548-562.
    13. Abdelghany, Ahmed & Abdelghany, Khaled & Mahmassani, Hani, 2016. "A hybrid simulation-assignment modeling framework for crowd dynamics in large-scale pedestrian facilities," Transportation Research Part A: Policy and Practice, Elsevier, vol. 86(C), pages 159-176.
    14. Nagatani, Takashi, 2005. "Fluctuation and transition of vehicular traffic through a sequence of traffic lights," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 350(2), pages 577-587.
    15. 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.
    16. Lili Lu & Gang Ren & Wei Wang & Chen Yu & Chenzi Ding, 2013. "Exploring the Effects of Different Walking Strategies on Bi-Directional Pedestrian Flow," Discrete Dynamics in Nature and Society, Hindawi, vol. 2013, pages 1-9, November.
    17. Zhang, Dawei & Zhu, Haitao & Hostikka, Simo & Qiu, Shi, 2019. "Pedestrian dynamics in a heterogeneous bidirectional flow: Overtaking behaviour and lane formation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 72-84.
    18. Yuan Tang & Yu Xue & Muyang Huang & Qiyun Wen & Bingling Cen & Dong Chen, 2023. "A Lattice Hydrodynamic Model for Four-Way Pedestrian Traffic with Turning Capacity," Sustainability, MDPI, vol. 15(3), pages 1-17, January.

    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:350:y:2005:i:2:p:563-576. 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.