IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v391y2012i21p5230-5243.html
   My bibliography  Save this article

Universal behavior in a model of city traffic with unequal green/red times

Author

Listed:
  • Pastén, D.
  • Muñoz, V.
  • Toledo, B.
  • Villalobos, J.
  • Zarama, R.
  • Rogan, J.
  • Valdivia, J.A.

Abstract

The effect of green/red asymmetry is studied for the single-car traffic model proposed in [B.A. Toledo, V. Muñoz, J. Rogan, C. Tenreiro, J.A. Valdivia, Modeling traffic through a sequence of traffic lights, Phys. Rev. E 70 (1) (2004) 016107], on two different signal synchronization strategies, namely, all signals in phase, and a green wave. The asymmetry is characterized by the parameter g=tgr/T, where tgr is the green time and T the signal period. Although the car dynamics turns simpler or more complex, as compared with the equivalent situation for the symmetric case g=0.5, critical behavior around resonance is shown to be preserved. However, unlike the case g=0.5, critical exponents at both sides of the resonance are not equal and depend on g. Analytical expressions for them are found, and shown to be both consistent with simulation results and independent of the distribution of distances between signals for the green wave case. Also, it is found that the green wave strategy is more robust to changes in g, with respect to the synchronized lights strategy, in the sense that larger departures from g=0.5 are needed to have noticeable effects on the car dynamics.

Suggested Citation

  • Pastén, D. & Muñoz, V. & Toledo, B. & Villalobos, J. & Zarama, R. & Rogan, J. & Valdivia, J.A., 2012. "Universal behavior in a model of city traffic with unequal green/red times," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(21), pages 5230-5243.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:21:p:5230-5243
    DOI: 10.1016/j.physa.2012.06.005
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037843711200492X
    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.2012.06.005?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. Wang, Ruili & Jiang, Rui & Wu, Qing-Song & Liu, Mingzhe, 2007. "Synchronized flow and phase separations in single-lane mixed traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 378(2), pages 475-484.
    2. Montemayor-Aldrete, J.A. & Ugalde-Vélez, P. & del Castillo-Mussot, M. & Vázquez-Villanueva, C.A. & Vázquez, G.J. & Mendoza-Allende, A., 2006. "Steady state traffic flow, entropy production rate, temporal fluctuations and fuel consumption," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 361(2), pages 630-642.
    3. Najem Moussa, 2008. "Modeling Evacuation Of Emergency Vehicles By Cellular Automata Models," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(06), pages 947-956.
    4. Nagatani, Takashi, 2007. "Clustering and maximal flow in vehicular traffic through a sequence of traffic lights," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 377(2), pages 651-660.
    5. Nagatani, Takashi, 2007. "Nonlinear-map model for split effect on vehicular traffic through periodic signals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(1), pages 431-440.
    6. Tanaka, Katsunori & Nagatani, Takashi & Masukura, Shuichi, 2008. "Fundamental diagram in traffic flow of mixed vehicles on multi-lane highway," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(22), pages 5583-5596.
    7. Wastavino, L.A. & Toledo, B.A. & Rogan, J. & Zarama, R. & Muñoz, V. & Valdivia, J.A., 2007. "Modeling traffic on crossroads," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 381(C), pages 411-419.
    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. Tang, Jinjun & Wang, Yinhai & Liu, Fang, 2013. "Characterizing traffic time series based on complex network theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(18), pages 4192-4201.
    2. Ruru Hao & Tiancheng Ruan, 2024. "Advancing Traffic Simulation Precision and Scalability: A Data-Driven Approach Utilizing Deep Neural Networks," Sustainability, MDPI, vol. 16(7), pages 1-16, March.
    3. Tang, Tie-Qiao & Yi, Zhi-Yan & Zhang, Jian & Wang, Tao & Leng, Jun-Qiang, 2018. "A speed guidance strategy for multiple signalized intersections based on car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 496(C), pages 399-409.
    4. Mendes, G.A. & da Silva, L.R. & Herrmann, H.J., 2012. "Traffic gridlock on complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(1), pages 362-370.
    5. Zhengbo Hao & Yizhe Wang & Xiaoguang Yang, 2024. "Every Second Counts: A Comprehensive Review of Route Optimization and Priority Control for Urban Emergency Vehicles," Sustainability, MDPI, vol. 16(7), pages 1-24, March.
    6. Tang, Tie-Qiao & Zhang, Jian & Liu, Kai, 2017. "A speed guidance model accounting for the driver’s bounded rationality at a signalized intersection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 45-52.
    7. Elisabeth Bloder & Georg Jäger, 2021. "Is the Green Wave Really Green? The Risks of Rebound Effects When Implementing “Green” Policies," Sustainability, MDPI, vol. 13(10), pages 1-11, May.
    8. Tang, Jinjun & Wang, Yinhai & Wang, Hua & Zhang, Shen & Liu, Fang, 2014. "Dynamic analysis of traffic time series at different temporal scales: A complex networks approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 405(C), pages 303-315.
    9. Li, Xiang & Sun, Jian-Qiao, 2019. "Intersection multi-objective optimization on signal setting and lane assignment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 1233-1246.
    10. Tang, Tie-Qiao & Yi, Zhi-Yan & Lin, Qing-Feng, 2017. "Effects of signal light on the fuel consumption and emissions under car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 200-205.

    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:391:y:2012:i:21:p:5230-5243. 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.