IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v392y2013i18p4009-4018.html
   My bibliography  Save this article

A cellular automaton model based on empirical observations of a driver’s oscillation behavior reproducing the findings from Kerner’s three-phase traffic theory

Author

Listed:
  • Yang, Haifei
  • Lu, Jian
  • Hu, Xiaojian
  • Jiang, Jun

Abstract

In this paper, we propose a new cellular automaton model based on the well known three-phase traffic theory. The model takes into account the mechanism of a driver’s oscillation behavior obtained from engineering experiments in real traffic conditions. This mechanism shows the inner competition between speed adaptation and distance adjustment effects. The speed adaptation effect leads to synchronized flow, whereas a pinch region emerges, associated with the spontaneous occurrence of wide moving jams, due to distance over-adjustment. Numerical simulations are carried out both with periodic and with open boundary conditions in order to investigate the spatiotemporal features of traffic flow. The results indicate that our model is able to reproduce the three distinct traffic phases and exhibit the four congested patterns upstream of an isolated on-ramp, which is in good consistency with the results predicted from the three-phase theory.

Suggested Citation

  • Yang, Haifei & Lu, Jian & Hu, Xiaojian & Jiang, Jun, 2013. "A cellular automaton model based on empirical observations of a driver’s oscillation behavior reproducing the findings from Kerner’s three-phase traffic theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(18), pages 4009-4018.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:18:p:4009-4018
    DOI: 10.1016/j.physa.2013.05.004
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437113004093
    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.2013.05.004?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. Li, Xin-Gang & Gao, Zi-You & Jia, Bin & Jiang, Rui, 2009. "Deceleration in advance in the Nagel–Schreckenberg traffic flow model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(10), pages 2051-2060.
    2. Chowdhury, Debashish & Wolf, Dietrich E. & Schreckenberg, Michael, 1997. "Particle hopping models for two-lane traffic with two kinds of vehicles: Effects of lane-changing rules," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 235(3), pages 417-439.
    3. Daganzo, Carlos F., 2002. "A behavioral theory of multi-lane traffic flow. Part I: Long homogeneous freeway sections," Transportation Research Part B: Methodological, Elsevier, vol. 36(2), pages 131-158, February.
    4. Davis, L.C., 2008. "Driver choice compared to controlled diversion for a freeway double on-ramp in the framework of three-phase traffic theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(25), pages 6395-6410.
    5. Lárraga, M.E. & Alvarez-Icaza, L., 2010. "Cellular automaton model for traffic flow based on safe driving policies and human reactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(23), pages 5425-5438.
    6. Daganzo, Carlos F., 1994. "The cell transmission model: A dynamic representation of highway traffic consistent with the hydrodynamic theory," Transportation Research Part B: Methodological, Elsevier, vol. 28(4), pages 269-287, August.
    7. Kerner, Boris S., 2005. "Control of spatiotemporal congested traffic patterns at highway bottlenecks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 355(2), pages 565-601.
    8. Hu, Xiaojian & Wang, Wei & Yang, Haifei, 2012. "Mixed traffic flow model considering illegal lane-changing behavior: Simulations in the framework of Kerner’s three-phase theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(21), pages 5102-5111.
    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. Sun, Lu & Jafaripournimchahi, Ammar & Hu, Wusheng, 2020. "A forward-looking anticipative viscous high-order continuum model considering two leading vehicles for traffic flow through wireless V2X communication in autonomous and connected vehicle environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 556(C).
    2. Wu, Jinchao & Chen, Bokui & Zhang, Kai & Zhou, Jun & Miao, Lixin, 2018. "Ant pheromone route guidance strategy in intelligent transportation systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 591-603.
    3. 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).

    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. Laval, Jorge A. & Daganzo, Carlos F., 2006. "Lane-changing in traffic streams," Transportation Research Part B: Methodological, Elsevier, vol. 40(3), pages 251-264, March.
    2. Rehborn, Hubert & Klenov, Sergey L. & Palmer, Jochen, 2011. "An empirical study of common traffic congestion features based on traffic data measured in the USA, the UK, and Germany," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4466-4485.
    3. Marzoug, R. & Lakouari, N. & Ez-Zahraouy, H. & Castillo Téllez, B. & Castillo Téllez, M. & Cisneros Villalobos, L., 2022. "Modeling and simulation of car accidents at a signalized intersection using cellular automata," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 589(C).
    4. Davis, L.C., 2012. "Mitigation of congestion at a traffic bottleneck with diversion and lane restrictions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1679-1691.
    5. Hu, Xiaojian & Wang, Wei & Yang, Haifei, 2012. "Mixed traffic flow model considering illegal lane-changing behavior: Simulations in the framework of Kerner’s three-phase theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(21), pages 5102-5111.
    6. 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.
    7. 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.
    8. Rachid Marzoug & Noureddine Lakouari & José Roberto Pérez Cruz & Carlos Jesahel Vega Gómez, 2022. "Cellular Automata Model for Analysis and Optimization of Traffic Emission at Signalized Intersection," Sustainability, MDPI, vol. 14(21), pages 1-20, October.
    9. Nair, Rahul & Mahmassani, Hani S. & Miller-Hooks, Elise, 2011. "A porous flow approach to modeling heterogeneous traffic in disordered systems," Transportation Research Part B: Methodological, Elsevier, vol. 45(9), pages 1331-1345.
    10. Xiang Wang & Po Zhao & Yanyun Tao, 2018. "Evaluating Impacts of Overloaded Heavy Vehicles on Freeway Traffic Condition by a Novel Multi-Class Traffic Flow Model," Sustainability, MDPI, vol. 10(12), pages 1-22, December.
    11. Mohammadian, Saeed & Zheng, Zuduo & Haque, Md. Mazharul & Bhaskar, Ashish, 2021. "Performance of continuum models for realworld traffic flows: Comprehensive benchmarking," Transportation Research Part B: Methodological, Elsevier, vol. 147(C), pages 132-167.
    12. Yibing Wang & Long Wang & Xianghua Yu & Jingqiu Guo, 2023. "Capacity Drop at Freeway Ramp Merges with Its Replication in Macroscopic and Microscopic Traffic Simulations: A Tutorial Report," Sustainability, MDPI, vol. 15(3), pages 1-27, January.
    13. Nie, Yu (Marco), 2010. "Equilibrium analysis of macroscopic traffic oscillations," Transportation Research Part B: Methodological, Elsevier, vol. 44(1), pages 62-72, January.
    14. 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).
    15. 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).
    16. Minh Sang Pham Do & Ketoma Vix Kemanji & Man Dinh Vinh Nguyen & Tuan Anh Vu & Gerrit Meixner, 2023. "The Action Point Angle of Sight: A Traffic Generation Method for Driving Simulation, as a Small Step to Safe, Sustainable and Smart Cities," Sustainability, MDPI, vol. 15(12), pages 1-27, June.
    17. Qixiu Cheng & Zhiyuan Liu & Feifei Liu & Ruo Jia, 2017. "Urban dynamic congestion pricing: an overview and emerging research needs," International Journal of Urban Sciences, Taylor & Francis Journals, vol. 21(0), pages 3-18, August.
    18. Xue Wang & Yu Xue & Suwei Feng, 2023. "Traffic fuel consumption evaluation of the on-ramp with acceleration lane based on cellular automata," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(6), pages 1-11, June.
    19. Wu, Jinchao & Chen, Bokui & Zhang, Kai & Zhou, Jun & Miao, Lixin, 2018. "Ant pheromone route guidance strategy in intelligent transportation systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 591-603.
    20. Gentile, Guido & Meschini, Lorenzo & Papola, Natale, 2007. "Spillback congestion in dynamic traffic assignment: A macroscopic flow model with time-varying bottlenecks," Transportation Research Part B: Methodological, Elsevier, vol. 41(10), pages 1114-1138, December.

    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:392:y:2013:i:18:p:4009-4018. 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.