IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v603y2022ics0378437122004149.html
   My bibliography  Save this article

A bidirectional car-following model considering distance balance between adjacent vehicles

Author

Listed:
  • Yi, Ziwei
  • Lu, Wenqi
  • Qu, Xu
  • Gan, Jing
  • Li, Linheng
  • Ran, Bin

Abstract

Connected technology enhances the sensing capabilities of vehicles and enables them to access information not only from the front direction but also from the back direction. This paper presents a car-following model using the bidirectional information in the connected environment, called the bidirectional distance balanced model (BDBM). Based on the intelligent driver model (IDM), the proposed model balances the distance between the host vehicle and its nearest preceding and following vehicles. Then, the condition of local stability and string stability of the traffic flow is investigated by using the characteristic equation-based method (CEM). Furthermore, the efficiency formula of traffic flow obeys the BDBM is derived. Finally, simulations are conducted under the different settings of car-following scenarios with small perturbations. The theoretical and simulation results reveal that the string stability can be improved with the proportion of the information utilization item (IUI) increased. In addition, it is demonstrated that the proposed model is capable of maintaining traffic efficiency while enhancing traffic stability, which is superior to the IDM and the intelligent back-looking distance driver model (IBDM) Yi et al. (2020). All these findings provide a novel way to establish a car-following model improving traffic stability without affecting traffic efficiency.

Suggested Citation

  • Yi, Ziwei & Lu, Wenqi & Qu, Xu & Gan, Jing & Li, Linheng & Ran, Bin, 2022. "A bidirectional car-following model considering distance balance between adjacent vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).
    • Handle: RePEc:eee:phsmap:v:603:y:2022:i:c:s0378437122004149
    DOI: 10.1016/j.physa.2022.127606
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437122004149
    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.2022.127606?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. Gipps, P.G., 1981. "A behavioural car-following model for computer simulation," Transportation Research Part B: Methodological, Elsevier, vol. 15(2), pages 105-111, April.
    2. Yu, Shaowei & Huang, Mengxing & Ren, Jia & Shi, Zhongke, 2016. "An improved car-following model considering velocity fluctuation of the immediately ahead car," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 449(C), pages 1-17.
    3. Li, Xiangchen & Luo, Xia & He, Mengchen & Chen, Siwei, 2018. "An improved car-following model considering the influence of space gap to the response," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 536-545.
    4. Li, Zhipeng & Li, Wenzhong & Xu, Shangzhi & Qian, Yeqing, 2015. "Stability analysis of an extended intelligent driver model and its simulations under open boundary condition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 526-536.
    5. Sun, Di-Hua & Liao, Xiao-Yong & Peng, Guang-Han, 2011. "Effect of looking backward on traffic flow in an extended multiple car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(4), pages 631-635.
    6. Ma, Guangyi & Ma, Minghui & Liang, Shidong & Wang, Yansong & Guo, Hui, 2021. "Nonlinear analysis of the car-following model considering headway changes with memory and backward looking effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 562(C).
    7. Kuang, Hua & Xu, Zhi-Peng & Li, Xing-Li & Lo, Siu-Ming, 2017. "An extended car-following model accounting for the average headway effect in intelligent transportation system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 778-787.
    8. Sun, Dihua & Kang, Yirong & Yang, Shuhong, 2015. "A novel car following model considering average speed of preceding vehicles group," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 103-109.
    9. Zheng, Liang & Jin, Peter J. & Huang, Helai, 2015. "An anisotropic continuum model considering bi-directional information impact," Transportation Research Part B: Methodological, Elsevier, vol. 75(C), pages 36-57.
    10. Hu, Yanmei & Ma, Tianshan & Chen, Jianzhong, 2021. "Multi-anticipative bi-directional visual field traffic flow models in the connected vehicle environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 584(C).
    11. Sun, Jie & Zheng, Zuduo & Sun, Jian, 2018. "Stability analysis methods and their applicability to car-following models in conventional and connected environments," Transportation Research Part B: Methodological, Elsevier, vol. 109(C), pages 212-237.
    12. Montanino, Marcello & Punzo, Vincenzo, 2021. "On string stability of a mixed and heterogeneous traffic flow: A unifying modelling framework," Transportation Research Part B: Methodological, Elsevier, vol. 144(C), pages 133-154.
    13. Montanino, Marcello & Monteil, Julien & Punzo, Vincenzo, 2021. "From homogeneous to heterogeneous traffic flows: Lp String stability under uncertain model parameters," Transportation Research Part B: Methodological, Elsevier, vol. 146(C), pages 136-154.
    14. Peng, Yong & Liu, Shijie & Yu, Dennis Z., 2020. "An improved car-following model with consideration of multiple preceding and following vehicles in a driver’s view," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 538(C).
    15. H. X. Ge & H. B. Zhu & S. Q. Dai, 2006. "Effect of looking backward on traffic flow in a cooperative driving car following model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 54(4), pages 503-507, December.
    16. Zhao, Xiaomei & Gao, Ziyou, 2006. "A control method for congested traffic induced by bottlenecks in the coupled map car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 366(C), pages 513-522.
    17. Yu, Shaowei & Zhao, Xiangmo & Xu, Zhigang & Shi, Zhongke, 2016. "An improved car-following model considering the immediately ahead car’s velocity difference," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 446-455.
    18. Cao, Bao-gui, 2020. "A car-following dynamic model with headway memory and evolution trend," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 539(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. Li, Linheng & An, Bocheng & Wang, Zhiyu & Gan, Jing & Qu, Xu & Ran, Bin, 2024. "Stability analysis and numerical simulation of a car-following model considering safety potential field and V2X communication: A focus on influence weight of multiple vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 640(C).
    2. Guo, Wenfeng & Song, Xiaolin & Cao, Haotian & Zhao, Song & Yi, Binlin & Wang, Jianqiang, 2023. "Human-centered driving authority allocation for driver-automation shared control: A two-layer game-theoretic approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 626(C).
    3. Lu, Wenqi & Yi, Ziwei & Gidofalvi, Gyözö & Simoni, Michele D. & Rui, Yikang & Ran, Bin, 2024. "Urban network geofencing with dynamic speed limit policy via deep reinforcement learning," Transportation Research Part A: Policy and Practice, Elsevier, vol. 183(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. Shuaiyang Jiao & Shengrui Zhang & Bei Zhou & Zixuan Zhang & Liyuan Xue, 2020. "An Extended Car-Following Model Considering the Drivers’ Characteristics under a V2V Communication Environment," Sustainability, MDPI, vol. 12(4), pages 1-18, February.
    2. Wang, Xiaoning & Liu, Minzhuang & Ci, Yusheng & Wu, Lina, 2022. "Effect of front two adjacent vehicles’ velocity information on car-following model construction and stability analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).
    3. Junyan Han & Jinglei Zhang & Xiaoyuan Wang & Yaqi Liu & Quanzheng Wang & Fusheng Zhong, 2020. "An Extended Car-Following Model Considering Generalized Preceding Vehicles in V2X Environment," Future Internet, MDPI, vol. 12(12), pages 1-15, November.
    4. Sun, Yuqing & Ge, Hongxia & Cheng, Rongjun, 2019. "An extended car-following model considering driver’s memory and average speed of preceding vehicles with control strategy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 752-761.
    5. Yin, Yu-Hang & Lü, Xing & Jiang, Rui & Jia, Bin & Gao, Ziyou, 2024. "Kinetic analysis and numerical tests of an adaptive car-following model for real-time traffic in ITS," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 635(C).
    6. Maiti, Nandan & Chilukuri, Bhargava Rama, 2023. "Does anisotropy hold in mixed traffic conditions?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 632(P1).
    7. Li, Xiangchen & Luo, Xia & He, Mengchen & Chen, Siwei, 2018. "An improved car-following model considering the influence of space gap to the response," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 536-545.
    8. 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).
    9. Wang, Pengcheng & Yu, Guizhen & Wu, Xinkai & Qin, Hongmao & Wang, Yunpeng, 2018. "An extended car-following model to describe connected traffic dynamics under cyberattacks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 496(C), pages 351-370.
    10. Zheng, Liang & Jin, Peter J. & Huang, Helai, 2015. "An anisotropic continuum model considering bi-directional information impact," Transportation Research Part B: Methodological, Elsevier, vol. 75(C), pages 36-57.
    11. Hu, Yanmei & Ma, Tianshan & Chen, Jianzhong, 2021. "Multi-anticipative bi-directional visual field traffic flow models in the connected vehicle environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 584(C).
    12. Jiang, Yangsheng & Cong, Hongwei & Chen, Hongyu & Wu, Yunxia & Yao, Zhihong, 2024. "Adaptive cruise control design for collision risk avoidance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 640(C).
    13. Chang, Yinyin & He, Zhiting & Cheng, Rongjun, 2019. "Analysis of the historical time integral form of relative flux and feedback control in an extended lattice hydrodynamic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 326-334.
    14. Zhang, Futao & Qian, Yongsheng & Zeng, Junwei & Xu, Dejie & Li, Haijun, 2023. "Stability and safety analysis of mixed traffic flow considering network function degradation and platoon driving on the road with a slope," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 630(C).
    15. Peng, Yong & Liu, Shijie & Yu, Dennis Z., 2020. "An improved car-following model with consideration of multiple preceding and following vehicles in a driver’s view," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 538(C).
    16. Wang, Jufeng & Sun, Fengxin & Ge, Hongxia, 2018. "Effect of the driver’s desire for smooth driving on the car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 96-108.
    17. Chang, Yinyin & He, Zhiting & Cheng, Rongjun, 2019. "An extended lattice hydrodynamic model considering the driver’s sensory memory and delayed-feedback control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 522-532.
    18. Yao, Zhihong & Deng, Haowei & Chen, Zikang & He, Xiang & Ai, Yi & Wu, Yunxia, 2024. "Linear internal stability for mixed traffic flow of CAVs with different automation levels," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 642(C).
    19. Liao, Peng & Tang, Tie-Qiao & Wang, Tao & Zhang, Jian, 2019. "A car-following model accounting for the driving habits," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 108-118.
    20. Yao, Zhihong & Gu, Qiufan & Jiang, Yangsheng & Ran, Bin, 2022. "Fundamental diagram and stability of mixed traffic flow considering platoon size and intensity of connected automated vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 604(C).

    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:603:y:2022:i:c:s0378437122004149. 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.