IDEAS home Printed from https://ideas.repec.org/a/spr/comaot/v28y2022i2d10.1007_s10588-021-09345-w.html
   My bibliography  Save this article

A multi-value cellular automata model for multi-lane traffic flow under lagrange coordinate

Author

Listed:
  • Junwei Zeng

    (Lanzhou Jiaotong University)

  • Yongsheng Qian

    (Lanzhou Jiaotong University)

  • Fan Yin

    (Lanzhou Jiaotong University)

  • Leipeng Zhu

    (Lanzhou Jiaotong University)

  • Dejie Xu

    (Lanzhou Jiaotong University)

Abstract

In this paper, a multi-value cellular automata model under Lagrange coordinates is proposed based on reality, the traffic flow in the Lagrange coordinate is simulated on the basis of the evolution equation of the model. From the fundamental diagram of the results under various conditions, it found that the three commonly used parameters of traffic flow in simulation is consistent with the empirical data. Specifically, traffic density and the number of lanes have a significant impact on traffic flow. The lower the density is, the more lanes there are, and the greater the flow. The research of this paper can help to develop more advanced traffic research technology, and improve the efficiency of traffic work subsequently. Simultaneously, it will bring convenience to people and promote the development of green traffic.

Suggested Citation

  • Junwei Zeng & Yongsheng Qian & Fan Yin & Leipeng Zhu & Dejie Xu, 2022. "A multi-value cellular automata model for multi-lane traffic flow under lagrange coordinate," Computational and Mathematical Organization Theory, Springer, vol. 28(2), pages 178-192, June.
    • Handle: RePEc:spr:comaot:v:28:y:2022:i:2:d:10.1007_s10588-021-09345-w
    DOI: 10.1007/s10588-021-09345-w
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10588-021-09345-w
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10588-021-09345-w?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. Paul I. Richards, 1956. "Shock Waves on the Highway," Operations Research, INFORMS, vol. 4(1), pages 42-51, February.
    2. Kerner, Boris S., 2004. "Three-phase traffic theory and highway capacity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 333(C), pages 379-440.
    3. Leclercq, Ludovic, 2007. "Hybrid approaches to the solutions of the "Lighthill-Whitham-Richards" model," Transportation Research Part B: Methodological, Elsevier, vol. 41(7), pages 701-709, August.
    4. Schönhof, Martin & Helbing, Dirk, 2009. "Criticism of three-phase traffic theory," Transportation Research Part B: Methodological, Elsevier, vol. 43(7), pages 784-797, August.
    5. Kerner, Boris S. & Koller, Micha & Klenov, Sergey L. & Rehborn, Hubert & Leibel, Michael, 2015. "The physics of empirical nuclei for spontaneous traffic breakdown in free flow at highway bottlenecks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 438(C), pages 365-397.
    6. Treiber, Martin & Kesting, Arne & Helbing, Dirk, 2010. "Three-phase traffic theory and two-phase models with a fundamental diagram in the light of empirical stylized facts," Transportation Research Part B: Methodological, Elsevier, vol. 44(8-9), pages 983-1000, September.
    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. Zakaria A. Mani & Krzysztof Goniewicz, 2023. "Transportation Disaster Trends and Impacts in Western Asia: A Comprehensive Analysis from 2003 to 2023," Sustainability, MDPI, vol. 15(18), pages 1-14, September.
    2. Peng, Guanghan & Luo, Chunli & Zhao, Hongzhuan & Tan, Huili, 2023. "Jamming transition in two-lane lattice model integrating the deception attacks on influx during the lane-changing process under vehicle to everything environment," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    3. Chaolun Wang & Wang Xiang & Guiqiu Xu & Xiaomeng Li, 2023. "Effects of Object-Oriented Advance Guidance Signage on Lane-Changing Behaviors at the Mainline Toll Stations of Expressways," Sustainability, MDPI, vol. 15(2), pages 1-16, January.
    4. Pengying Ouyang & Bo Yang, 2024. "Evaluation of Spatiotemporal Characteristics of Lane-Changing at the Freeway Weaving Area from Trajectory Data," Sustainability, MDPI, vol. 16(4), pages 1-21, February.
    5. Junwei Zhou & Xizhong Qin & Yuanfeng Ding & Haodong Ma, 2023. "Spatial–Temporal Dynamic Graph Differential Equation Network for Traffic Flow Forecasting," Mathematics, MDPI, vol. 11(13), pages 1-17, June.
    6. Zhesong Hao & Ying Peng, 2022. "Comparing Nonlinear and Threshold Effects of Bus Stop Proximity on Transit Use and Carbon Emissions in Developing Cities," Land, MDPI, vol. 12(1), pages 1-21, December.
    7. Zhang, Xiangzhou & Shi, Zhongke & Yu, Shaowei & Ma, Lijing, 2023. "A new car-following model considering driver’s desired visual angle on sharp curves," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 615(C).
    8. Zhang, Quan & Li, Xuan & Yan, Tao & Lu, Lili & Shi, Yang, 2022. "Last train timetabling optimization for minimizing passenger transfer failures in urban rail transit networks: A time period based approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).
    9. Nattawut Pumpugsri & Wanchai Rattanawong & Varin Vongmanee, 2023. "Development of a Safety Heavy-Duty Vehicle Model Considering Unsafe Acts, Unsafe Conditions and Near-Miss Events Using Structural Equation Model," Sustainability, MDPI, vol. 15(16), pages 1-20, August.
    10. Liang Zou & Suiying Hu & Lingxiang Zhu, 2023. "Based on AFC Data Calculation of Walking Time in Metro Stations Considering the Impact of Passenger Flows," Sustainability, MDPI, vol. 15(8), pages 1-14, April.

    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. 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.
    2. Treiber, Martin & Kesting, Arne, 2011. "Evidence of convective instability in congested traffic flow: A systematic empirical and theoretical investigation," Transportation Research Part B: Methodological, Elsevier, vol. 45(9), pages 1362-1377.
    3. 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).
    4. Saif Eddin Jabari & Laura Wynter, 2016. "Sensor placement with time-to-detection guarantees," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 5(4), pages 415-433, December.
    5. Treiber, Martin & Kesting, Arne & Helbing, Dirk, 2010. "Three-phase traffic theory and two-phase models with a fundamental diagram in the light of empirical stylized facts," Transportation Research Part B: Methodological, Elsevier, vol. 44(8-9), pages 983-1000, September.
    6. He, Zhengbing & Zheng, Liang & Guan, Wei, 2015. "A simple nonparametric car-following model driven by field data," Transportation Research Part B: Methodological, Elsevier, vol. 80(C), pages 185-201.
    7. Cheng, Qixiu & Lin, Yuqian & Zhou, Xuesong (Simon) & Liu, Zhiyuan, 2024. "Analytical formulation for explaining the variations in traffic states: A fundamental diagram modeling perspective with stochastic parameters," European Journal of Operational Research, Elsevier, vol. 312(1), pages 182-197.
    8. Tian, Junfang & Treiber, Martin & Ma, Shoufeng & Jia, Bin & Zhang, Wenyi, 2015. "Microscopic driving theory with oscillatory congested states: Model and empirical verification," Transportation Research Part B: Methodological, Elsevier, vol. 71(C), pages 138-157.
    9. Jiang, Rui & Hu, Mao-Bin & Zhang, H.M. & Gao, Zi-You & Jia, Bin & Wu, Qing-Song, 2015. "On some experimental features of car-following behavior and how to model them," Transportation Research Part B: Methodological, Elsevier, vol. 80(C), pages 338-354.
    10. Lu, Chung-Cheng & Liu, Jiangtao & Qu, Yunchao & Peeta, Srinivas & Rouphail, Nagui M. & Zhou, Xuesong, 2016. "Eco-system optimal time-dependent flow assignment in a congested network," Transportation Research Part B: Methodological, Elsevier, vol. 94(C), pages 217-239.
    11. Han, Yu & Zhang, Mingyu & Guo, Yanyong & Zhang, Le, 2022. "A streaming-data-driven method for freeway traffic state estimation using probe vehicle trajectory data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 606(C).
    12. MacGregor Smith, J. & Cruz, F.R.B., 2014. "M/G/c/c state dependent travel time models and properties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 560-579.
    13. Tian, Junfang & Zhu, Chenqiang & Chen, Danjue & Jiang, Rui & Wang, Guanying & Gao, Ziyou, 2021. "Car following behavioral stochasticity analysis and modeling: Perspective from wave travel time," Transportation Research Part B: Methodological, Elsevier, vol. 143(C), pages 160-176.
    14. 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).
    15. Yeo, Hwasoo, 2008. "Asymmetric Microscopic Driving Behavior Theory," University of California Transportation Center, Working Papers qt1tn1m968, University of California Transportation Center.
    16. Moshtagh, Mehrdad & Fathali, Jafar & Smith, J. MacGregor, 2018. "The Stochastic Queue Core problem, evacuation networks, and state-dependent queues," European Journal of Operational Research, Elsevier, vol. 269(2), pages 730-748.
    17. Wang, David Z.W. & Du, Bo, 2016. "Continuum modelling of spatial and dynamic equilibrium in a travel corridor with heterogeneous commuters—A partial differential complementarity system approach," Transportation Research Part B: Methodological, Elsevier, vol. 85(C), pages 1-18.
    18. Zhou, Fang & Li, Xiaopeng & Ma, Jiaqi, 2017. "Parsimonious shooting heuristic for trajectory design of connected automated traffic part I: Theoretical analysis with generalized time geography," Transportation Research Part B: Methodological, Elsevier, vol. 95(C), pages 394-420.
    19. Ma, Tao & Zhou, Zhou & Abdulhai, Baher, 2015. "Nonlinear multivariate time–space threshold vector error correction model for short term traffic state prediction," Transportation Research Part B: Methodological, Elsevier, vol. 76(C), pages 27-47.
    20. 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.

    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:spr:comaot:v:28:y:2022:i:2:d:10.1007_s10588-021-09345-w. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.