IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v471y2017icp705-717.html
   My bibliography  Save this article

A cellular automaton model for ship traffic flow in waterways

Author

Listed:
  • Qi, Le
  • Zheng, Zhongyi
  • Gang, Longhui

Abstract

With the development of marine traffic, waterways become congested and more complicated traffic phenomena in ship traffic flow are observed. It is important and necessary to build a ship traffic flow model based on cellular automata (CAs) to study the phenomena and improve marine transportation efficiency and safety. Spatial discretization rules for waterways and update rules for ship movement are two important issues that are very different from vehicle traffic. To solve these issues, a CA model for ship traffic flow, called a spatial–logical mapping (SLM) model, is presented. In this model, the spatial discretization rules are improved by adding a mapping rule. And the dynamic ship domain model is considered in the update rules to describe ships’ interaction more exactly. Take the ship traffic flow in the Singapore Strait for example, some simulations were carried out and compared. The simulations show that the SLM model could avoid ship pseudo lane-change efficiently, which is caused by traditional spatial discretization rules. The ship velocity change in the SLM model is consistent with the measured data. At finally, from the fundamental diagram, the relationship between traffic ability and the lengths of ships is explored. The number of ships in the waterway declines when the proportion of large ships increases.

Suggested Citation

  • Qi, Le & Zheng, Zhongyi & Gang, Longhui, 2017. "A cellular automaton model for ship traffic flow in waterways," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 705-717.
  • Handle: RePEc:eee:phsmap:v:471:y:2017:i:c:p:705-717
    DOI: 10.1016/j.physa.2016.12.028
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437116310044
    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.2016.12.028?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. Chen, Qun & Wang, Yan, 2015. "Cellular automata (CA) simulation of the interaction of vehicle flows and pedestrian crossings on urban low-grade uncontrolled roads," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 432(C), pages 43-57.
    2. Xie, Dong-Fan & Gao, Zi-You & Zhao, Xiao-Mei & Li, Ke-Ping, 2009. "Characteristics of mixed traffic flow with non-motorized vehicles and motorized vehicles at an unsignalized intersection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(10), pages 2041-2050.
    3. Sun, Zhuo & Chen, Zhonglong & Hu, Hongtao & Zheng, Jianfeng, 2015. "Ship interaction in narrow water channels: A two-lane cellular automata approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 431(C), pages 46-51.
    4. Tie-Qiao Tang & Hai-Jun Huang & Hua-Yan Shang, 2010. "A Dynamic Model For The Heterogeneous Traffic Flow Consisting Of Car, Bicycle And Pedestrian," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 21(02), pages 159-176.
    5. Laval, Jorge A. & Leclercq, Ludovic, 2008. "Microscopic modeling of the relaxation phenomenon using a macroscopic lane-changing model," Transportation Research Part B: Methodological, Elsevier, vol. 42(6), pages 511-522, July.
    6. Li, Xin & Li, Xingang & Xiao, Yao & Jia, Bin, 2016. "Modeling mechanical restriction differences between car and heavy truck in two-lane cellular automata traffic flow model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 451(C), pages 49-62.
    7. 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.
    8. Ke-Ping Li & Zi-You Gao & Bin Ning, 2005. "Modeling The Railway Traffic Using Cellular Automata Model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(06), pages 921-932.
    9. 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.
    10. Jian Wang & Jian-Xun Ding & Qin Shi & Reinhart D. Kühne, 2016. "Lane-changing behavior and its effect on energy dissipation using full velocity difference model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 27(02), pages 1-14, February.
    11. Lv, Wei & Song, Wei-guo & Liu, Xiao-dong & Ma, Jian, 2013. "A microscopic lane changing process model for multilane traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(5), pages 1142-1152.
    12. Naito, Yuichi & Nagatani, Takashi, 2012. "Effect of headway and velocity on safety–collision transition induced by lane changing in traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1626-1635.
    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. Shang, Xue-Cheng & Li, Xin-Gang & Xie, Dong-Fan & Jia, Bin & Jiang, Rui & Liu, Feng, 2022. "A data-driven two-lane traffic flow model based on cellular automata," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 588(C).
    2. Zhou, Shirui & Ling, Shuai & Zhu, Chenqiang & Tian, Junfang, 2022. "Cellular automaton model with the multi-anticipative effect to reproduce the empirical findings of Kerner’s three-phase traffic theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 596(C).
    3. Jiang, Yu & Xue, Qingwen & Wang, Yasha & Cai, Mengting & Zhang, Honghai & Li, Yahui, 2021. "Traffic congestion mechanism in mega-airport surface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 577(C).
    4. Cui, Nan & Chen, Bokui & Zhang, Kai & Zhang, Yi & Liu, Xiaotong & Zhou, Jun, 2019. "Effects of route guidance strategies on traffic emissions in intelligent transportation systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 32-44.
    5. Kong, Dewen & Sun, Lishan & Li, Jia & Xu, Yan, 2021. "Modeling cars and trucks in the heterogeneous traffic based on car–truck combination effect using cellular automata," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 562(C).
    6. Hua, Wei & Yue, Yixiang & Wei, Zhenlin & Chen, Jianhua & Wang, Wenrong, 2020. "A cellular automata traffic flow model with spatial variation in the cell width," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 556(C).
    7. Lyu, Zelin & Hu, Xiaojian & Zhang, Fang & Liu, Tenghui & Cui, Zhiwei, 2022. "Heterogeneous traffic flow characteristics on the highway with a climbing lane under different truck percentages: The framework of Kerner’s three-phase traffic theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 587(C).
    8. Hu, Xiaojian & Qiao, Longqi & Hao, Xiatong & Lin, Chenxi & Liu, Tenghui, 2022. "Research on the impact of entry points on urban arterial roads in the framework of Kerner’s three-phase traffic theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).
    9. Shang, Xue-Cheng & Li, Xin-Gang & Xie, Dong-Fan & Jia, Bin & Jiang, Rui, 2020. "Two-lane traffic flow model based on regular hexagonal cells with realistic lane changing behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 560(C).
    10. Jing, Dian & Yao, Enjian & Chen, Rongsheng, 2023. "Moving characteristics analysis of mixed traffic flow of CAVs and HVs around accident zones," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 626(C).
    11. Ding, Zhongjun & Chen, Bokui & Zhang, Lele & Jiang, Rui & Wu, Yao & Ding, Jianxun, 2019. "Segment travel time route guidance strategy in advanced traveler information systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    12. Hu, Xiaojian & Hao, Xiatong & Wang, Han & Su, Ziyi & Zhang, Fang, 2020. "Research on on-street temporary parking effects based on cellular automaton model under the framework of Kerner’s three-phase traffic theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    13. Chacoma, A. & Abramson, G. & Kuperman, M.N., 2021. "A phase transition induced by traffic lights on a single lane road," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 568(C).
    14. Xiaoyuan Wang & Junyan Han & Chenglin Bai & Huili Shi & Jinglei Zhang & Gang Wang, 2021. "Research on the Impacts of Generalized Preceding Vehicle Information on Traffic Flow in V2X Environment," Future Internet, MDPI, vol. 13(4), pages 1-17, March.
    15. Jin, Cheng-Jie & Yang, Wenzhang & Jiang, Rui & Liao, Peng & Zheng, Shiteng & Wang, Hao, 2023. "Vessel-following dynamics: Experiment and modeling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 615(C).

    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. Qi, Le & Zheng, Zhongyi & Gang, Longhui, 2017. "Marine traffic model based on cellular automaton: Considering the change of the ship’s velocity under the influence of the weather and sea," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 483(C), pages 480-494.
    2. Wang, Yan & Peng, Zhongyi & Chen, Qun, 2018. "Simulated interactions of pedestrian crossings and motorized vehicles in residential areas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 1046-1060.
    3. Tao, Y.Z. & Dong, L.Y., 2017. "A Cellular Automaton model for pedestrian counterflow with swapping," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 475(C), pages 155-168.
    4. Fang, Zhi-Ming & Song, Wei-Guo & Liu, Xuan & Lv, Wei & Ma, Jian & Xiao, Xia, 2012. "A continuous distance model (CDM) for the single-file pedestrian movement considering step frequency and length," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(1), pages 307-316.
    5. Lili Lu, A. & Gang Ren, B. & Wei Wang, C. & Ching-Yao Chan, D., 2015. "Application of SFCA pedestrian simulation model to the signalized crosswalk width design," Transportation Research Part A: Policy and Practice, Elsevier, vol. 80(C), pages 76-89.
    6. 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.
    7. Feng, Shumin & Li, Jinyang & Ding, Ning & Nie, Cen, 2015. "Traffic paradox on a road segment based on a cellular automaton: Impact of lane-changing behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 428(C), pages 90-102.
    8. Guo, Ning & Jiang, Rui & Wong, S.C. & Hao, Qing-Yi & Xue, Shu-Qi & Xiao, Yao & Wu, Chao-Yun, 2020. "Modeling the interactions of pedestrians and cyclists in mixed flow conditions in uni- and bidirectional flows on a shared pedestrian-cycle road," Transportation Research Part B: Methodological, Elsevier, vol. 139(C), pages 259-284.
    9. 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.
    10. 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).
    11. Li, Xiang & Sun, Jian-Qiao, 2017. "Studies of vehicle lane-changing dynamics and its effect on traffic efficiency, safety and environmental impact," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 467(C), pages 41-58.
    12. 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.
    13. Kou, Yukang & Ma, Changxi, 2023. "Dual-objective intelligent vehicle lane changing trajectory planning based on polynomial optimization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 617(C).
    14. Stock, Eduardo Velasco & da Silva, Roberto, 2023. "Lattice gas model to describe a nightclub dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    15. Zhao, Jing & Knoop, Victor L. & Wang, Meng, 2020. "Two-dimensional vehicular movement modelling at intersections based on optimal control," Transportation Research Part B: Methodological, Elsevier, vol. 138(C), pages 1-22.
    16. Dailisan, Damian N. & Lim, May T., 2020. "Crossover transitions in a bus–car mixed-traffic cellular automata model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 557(C).
    17. 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.
    18. Sun, Lishan & Yuan, Guang & Yao, Liya & Cui, Li & Kong, Dewen, 2021. "Study on strategies for alighting and boarding in subway stations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 583(C).
    19. Chen, Changkun & Sun, Huakai & Lei, Peng & Zhao, Dongyue & Shi, Congling, 2021. "An extended model for crowd evacuation considering pedestrian panic in artificial attack," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 571(C).
    20. Michael Batty & Jake Desyllas & Elspeth Duxbury, 2003. "Safety in Numbers? Modelling Crowds and Designing Control for the Notting Hill Carnival," Urban Studies, Urban Studies Journal Limited, vol. 40(8), pages 1573-1590, July.

    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:471:y:2017:i:c:p:705-717. 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.