IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v170y2023ics0960077923002369.html
   My bibliography  Save this article

The role of occupancy and transition rate on traffic flow in a percolation-backbone fractal

Author

Listed:
  • Verma, Muskan
  • Sharma, Sapna

Abstract

The occupancy of the road and transition rate have a significant impact on traffic flow in real traffic dynamics. Thus, the macroscopic traffic flow has been investigated in a percolation-backbone fractal with the consideration of occupancy of the road and transition rate. The traffic flow on the fractal network is presented with the help of a cell-transmission graph. The density equations are derived using the speed-matching model. The fundamental diagrams are obtained for urban-scale traffic networks by solving the density equations numerically. The steady-state vehicular densities and traffic currents are plotted for different cases of occupancy and transition rate. It is found that the traffic flow increases significantly with the increase in occupancy of the road and transition rate.

Suggested Citation

  • Verma, Muskan & Sharma, Sapna, 2023. "The role of occupancy and transition rate on traffic flow in a percolation-backbone fractal," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
  • Handle: RePEc:eee:chsofr:v:170:y:2023:i:c:s0960077923002369
    DOI: 10.1016/j.chaos.2023.113335
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077923002369
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2023.113335?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. Nagatani, Takashi, 2020. "Traffic flow stabilized by matching speed on network with a bottleneck," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 538(C).
    2. 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.
    3. Arvind Kumar Gupta, 2013. "A Section Approach To A Traffic Flow Model On Networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 24(05), pages 1-23.
    4. Geroliminis, Nikolas & Daganzo, Carlos F., 2008. "Existence of urban-scale macroscopic fundamental diagrams: Some experimental findings," Transportation Research Part B: Methodological, Elsevier, vol. 42(9), pages 759-770, November.
    5. Gupta, Arvind Kumar & Redhu, Poonam, 2013. "Analyses of driver’s anticipation effect in sensing relative flux in a new lattice model for two-lane traffic system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(22), pages 5622-5632.
    6. Daganzo, Carlos F., 1995. "The cell transmission model, part II: Network traffic," Transportation Research Part B: Methodological, Elsevier, vol. 29(2), pages 79-93, April.
    7. Verma, Muskan & Sharma, Sapna, 2022. "Chaotic jam and phase transitions in a lattice model with density dependent passing," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    8. Gupta, A.K. & Katiyar, V.K., 2006. "Phase transition of traffic states with on-ramp," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 371(2), pages 674-682.
    9. Nagatani, Takashi, 2020. "Traffic flow on percolation-backbone fractal," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).
    10. Nagatani, Takashi, 2022. "Dynamic transition induced by route choice in two-route traffic network with onramp," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 596(C).
    11. Nagatani, Takashi, 2022. "Chain reaction of traffic breakdowns in coupled-cycle networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 587(C).
    12. Peng, Guang-han & Cheng, Rong-jun, 2013. "A new car-following model with the consideration of anticipation optimal velocity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(17), pages 3563-3569.
    13. Nagatani, Takashi, 2021. "Traffic flow on star graph: Nonlinear diffusion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 561(C).
    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. Verma, Muskan & Sharma, Sapna, 2023. "Modeling heterogeneity in an open percolation backbone fractal traffic network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 619(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. Verma, Muskan & Sharma, Sapna, 2023. "Modeling heterogeneity in an open percolation backbone fractal traffic network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 619(C).
    2. Nagatani, Takashi, 2020. "Traffic flow on percolation-backbone fractal," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).
    3. Nagatani, Takashi, 2021. "Traffic flow on star graph: Nonlinear diffusion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 561(C).
    4. Tang, Tie-Qiao & Shi, Wei-Fang & Huang, Hai-Jun & Wu, Wen-Xiang & Song, Ziqi, 2019. "A route-based traffic flow model accounting for interruption factors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 767-785.
    5. Zhang, Zhao-Ze & Huang, Hai-Jun & Tang, Tie-Qiao, 2018. "Impacts of preceding information on travelers’ departure time behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 523-529.
    6. Wang, Jing-Peng & Huang, Hai-Jun & (Jeff) Ban, Xuegang, 2019. "Optimal capacity allocation for high occupancy vehicle (HOV) lane in morning commute," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 354-361.
    7. Yang, Lei & Yin, Suwan & Han, Ke & Haddad, Jack & Hu, Minghua, 2017. "Fundamental diagrams of airport surface traffic: Models and applications," Transportation Research Part B: Methodological, Elsevier, vol. 106(C), pages 29-51.
    8. Li, Chuan-Yao & Huang, Hai-Jun & Tang, Tie-Qiao, 2017. "Analysis of user equilibrium for staggered shifts in a single-entry traffic corridor with no late arrivals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 474(C), pages 8-18.
    9. Li, Wei-Hong & Huang, Hai-Jun & Shang, Hua-Yan, 2020. "Dynamic equilibrium commuting in a multilane system with ridesharing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 557(C).
    10. Jiang, Chenming & Bhat, Chandra R. & Lam, William H.K., 2020. "A bibliometric overview of Transportation Research Part B: Methodological in the past forty years (1979–2019)," Transportation Research Part B: Methodological, Elsevier, vol. 138(C), pages 268-291.
    11. Mazaré, Pierre-Emmanuel & Dehwah, Ahmad H. & Claudel, Christian G. & Bayen, Alexandre M., 2011. "Analytical and grid-free solutions to the Lighthill–Whitham–Richards traffic flow model," Transportation Research Part B: Methodological, Elsevier, vol. 45(10), pages 1727-1748.
    12. Rodriguez-Vega, Martin & Canudas-de-Wit, Carlos & Fourati, Hassen, 2021. "Average density estimation for urban traffic networks: Application to the Grenoble network," Transportation Research Part B: Methodological, Elsevier, vol. 154(C), pages 21-43.
    13. Jin, Wen-Long & Gan, Qi-Jian & Gayah, Vikash V., 2013. "A kinematic wave approach to traffic statics and dynamics in a double-ring network," Transportation Research Part B: Methodological, Elsevier, vol. 57(C), pages 114-131.
    14. Ge, Qian & Fukuda, Daisuke, 2019. "A macroscopic dynamic network loading model for multiple-reservoir system," Transportation Research Part B: Methodological, Elsevier, vol. 126(C), pages 502-527.
    15. Ding, Heng & Di, Yunran & Feng, Zhongxiang & Zhang, Weihua & Zheng, Xiaoyan & Yang, Tao, 2022. "A perimeter control method for a congested urban road network with dynamic and variable ranges," Transportation Research Part B: Methodological, Elsevier, vol. 155(C), pages 160-187.
    16. Leng, Jun-Qiang & Zhao, Lin, 2017. "Analysis of electric vehicle’s trip cost without late arrival," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 761-766.
    17. 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.
    18. Qi-Jian Gan & Wen-Long Jin & Vikash V. Gayah, 2017. "Analysis of Traffic Statics and Dynamics in Signalized Networks: A Poincaré Map Approach," Transportation Science, INFORMS, vol. 51(3), pages 1009-1029, August.
    19. Leng, Jun-Qiang & Liu, Wei-Yi & Zhao, Lin, 2017. "Analysis of electric vehicle’s trip cost allowing late arrival," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 293-300.
    20. Mariotte, Guilhem & Leclercq, Ludovic, 2019. "Flow exchanges in multi-reservoir systems with spillbacks," Transportation Research Part B: Methodological, Elsevier, vol. 122(C), pages 327-349.

    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:170:y:2023:i:c:s0960077923002369. 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.