IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v683y2026ics0378437125009008.html

Analysis of heterogeneous traffic flow characteristics based on LSTM

Author

Listed:
  • Hao, Yanming
  • Feng, Tianjun
  • Cheng, Guozhu
  • Li, Jinfeng
  • Li, Feiyan
  • Liu, Jiaojiao
  • Gao, Heyao

Abstract

To better understand the characteristics of heterogeneous traffic flows involving Connected and Autonomous Vehicles (CAVs) and Human-driven Vehicles (HVs), an accurate description of driver behaviour within the model is essential. Since vehicle acceleration decisions are influenced not only by the vehicle’s state at a specific moment, as in traditional Cellular Automaton (CA) models, but also by historical driving data over a period, the Long Short-Term Memory (LSTM) model was introduced. This model is particularly effective at managing long-term sequences, complex nonlinear features, and multivariate dynamic influence data. By training the LSTM model on vehicle driving data from the NGSIM database, it uncovers the underlying driving habits of human drivers and predicts the next acceleration decision. The trained model was then combined with cellular automata to create the Long Short-Term Memory-Cellular Automaton (LSTM-C) model for simulating traffic flow. Comparisons with other models show that the model can replicate the phase transition process in three-phase traffic flow while partly reducing issues caused by sudden vehicle acceleration and abrupt braking. Simulations were performed for heterogeneous traffic flows at different CAV penetration rates, and the results were analysed. The analysis reveals that as CAV penetration increases, the maximum traffic flow also rises. For example, at an 80% penetration rate, the maximum flow increases by 42.5%. Further analysis indicates that higher CAV penetration provides benefits such as faster vehicle speeds, fewer lane changes, and reductions in congestion coefficient and congestion duration.

Suggested Citation

  • Hao, Yanming & Feng, Tianjun & Cheng, Guozhu & Li, Jinfeng & Li, Feiyan & Liu, Jiaojiao & Gao, Heyao, 2026. "Analysis of heterogeneous traffic flow characteristics based on LSTM," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 683(C).
  • Handle: RePEc:eee:phsmap:v:683:y:2026:i:c:s0378437125009008
    DOI: 10.1016/j.physa.2025.131248
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437125009008
    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.2025.131248?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

    for a different version of it.

    References listed on IDEAS

    as
    1. Cremer, M. & Ludwig, J., 1986. "A fast simulation model for traffic flow on the basis of boolean operations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 28(4), pages 297-303.
    2. Redhu, Poonam & Mehta, Shubham, 2025. "Exploring visibility effects with flux variations under autonomous and human-driven vehicles environment in heterogeneous lattice model," Chaos, Solitons & Fractals, Elsevier, vol. 197(C).
    3. Naheliya, Bharti & Redhu, Poonam & Kumar, Kranti, 2024. "MFOA-Bi-LSTM: An optimized bidirectional long short-term memory model for short-term traffic flow prediction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 634(C).
    4. Kerner, Boris S. & Klenov, Sergey L. & Hermanns, Gerhard & Schreckenberg, Michael, 2013. "Effect of driver over-acceleration on traffic breakdown in three-phase cellular automaton traffic flow models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(18), pages 4083-4105.
    5. Wu, Yunxia & Li, Le & Jiang, Chenming & Jiang, Yangsheng & Yao, Zhihong, 2025. "The impact of selfish driving behavior of autonomous vehicles on mixed traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 672(C).
    6. 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).
    7. Siwach, Vikash & Yadav, Darshana & Redhu, Poonam, 2025. "Enhancing driver’s attention and overtaking efficiency in car-following model for Advanced Driver Assistance Systems (ADAS) vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 657(C).
    8. Kerner, Boris S., 2016. "Failure of classical traffic flow theories: Stochastic highway capacity and automatic driving," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 450(C), pages 700-747.
    9. Liu, Keyi & Feng, Tianjun, 2023. "Heterogeneous traffic flow cellular automata model mixed with intelligent controlled vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 632(P1).
    10. Li, Yiqun & Pu, Ziyuan & Liu, Pei & Qian, Tao & Hu, Qinran & Zhang, Junyi & Wang, Yinhai, 2025. "Efficient predictive control strategy for mitigating the overlap of EV charging demand and residential load based on distributed renewable energy," Renewable Energy, Elsevier, vol. 240(C).
    11. Shang, Xue-Cheng & Li, Xin-Gang & Xie, Dong-Fan & Jia, Bin & Jiang, Rui & Liu, Feng, 2022. "A data-driven two-lane traffic flow model based on cellular automata," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 588(C).
    12. Jiang, Yangsheng & Wang, Sichen & Yao, Zhihong & Zhao, Bin & Wang, Yi, 2021. "A cellular automata model for mixed traffic flow considering the driving behavior of connected automated vehicle platoons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 582(C).
    13. Zhao, Han-Tao & Lin, Lin & Xu, Chong-Peng & Li, Zhi-Xiao & Zhao, Xin, 2020. "Cellular automata model under Kerner’s framework of three-phase traffic theory considering the effect of forward–backward vehicles in internet of vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 553(C).
    14. Vranken, Tim & Sliwa, Benjamin & Wietfeld, Christian & Schreckenberg, Michael, 2021. "Adapting a cellular automata model to describe heterogeneous traffic with human-driven, automated, and communicating automated vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 570(C).
    15. Tianjun Feng & Keyi Liu & Chunyan Liang, 2023. "An Improved Cellular Automata Traffic Flow Model Considering Driving Styles," Sustainability, MDPI, vol. 15(2), pages 1-19, January.
    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. Peng, Guanghan & Liu, Yuangui & Tan, Huili & Xia, Dongxue & Zhou, Tong, 2025. "Phase transition in lattice hydrodynamic model integrating random anomalous information under connected autonomous vehicles surroundings," Chaos, Solitons & Fractals, Elsevier, vol. 201(P2).
    2. Liu, Keyi & Feng, Tianjun, 2023. "Heterogeneous traffic flow cellular automata model mixed with intelligent controlled vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 632(P1).
    3. Hu, Xiaojian & Yu, Fengkai, 2025. "Objective description of heterogeneous traffic flow patterns of passenger cars and trucks on long downhill sections in Kerner's three-phase traffic theory framework," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 659(C).
    4. 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).
    5. Shubham Mehta & Raveena Dangi & Vikash Siwach & Poonam Redhu, 2025. "Effect of weather’s visibility on traffic dynamics: a novel lattice hydrodynamic model for curved roads with passing," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 98(1), pages 1-9, January.
    6. Wang, Zhengwu & Chen, Tao & Wang, Yi & Li, Hao, 2024. "A cellular automaton model for mixed traffic flow considering the size of CAV platoon," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 643(C).
    7. Hu, Xiaojian & Qiao, Longqi & Hao, Xiatong & Lin, Chenxi & Liu, Tenghui, 2022. "Research on the impact of entry points on urban arterial roads in the framework of Kerner’s three-phase traffic theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).
    8. 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).
    9. Sun, Jianpeng & Zhang, Jing & Yuan, Zijian & Tian, Junfang & Wang, Tao, 2025. "A stochastic car-following model in the framework of Kerner’s three-phase traffic theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 675(C).
    10. Wu, Yunxia & Li, Le & Jiang, Chenming & Jiang, Yangsheng & Yao, Zhihong, 2025. "The impact of selfish driving behavior of autonomous vehicles on mixed traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 672(C).
    11. Yadav, Darshana & Siwach, Vikash & Redhu, Poonam, 2025. "Impact of headway uncertainty on traffic flow: Asymptotic and local stability analysis of car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 680(C).
    12. Hu, Xiaojian & Hao, Xiatong & Wang, Han & Su, Ziyi & Zhang, Fang, 2020. "Research on on-street temporary parking effects based on cellular automaton model under the framework of Kerner’s three-phase traffic theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    13. 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).
    14. Verma, Muskan & Gupta, Arvind Kumar & Sharma, Sapna, 2025. "Phase transitions in a multi-phase lattice hydrodynamic area occupancy model in mixed disorder traffic considering connected and human-driven vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 658(C).
    15. Peng, Guanghan & Wu, Kunning & Jiao, Wenjing & Yang, Shuhong & Wu, Zhuangsong & Xu, Longzhang & Lu, Chenchen & Tan, Huili & Xia, Dongxue, 2026. "Congestion transition in a heterogeneous ring road car-following model incorporating visual angle defect and speed limit effects," Chaos, Solitons & Fractals, Elsevier, vol. 204(C).
    16. Xie, Jiemin & Chen, Mengqi & You, Linlin & Jiang, Gege & Wu, Junxian & Sun, Tuo & Hao, Ruochen, 2024. "Cellular automaton model for the analysis of design and plan of bus station in the mixed traffic environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 653(C).
    17. 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).
    18. Ziwen Song & Feng Sun & Rongji Zhang & Yingcui Du & Guiliang Zhou, 2021. "An Improved Cellular Automaton Traffic Model Based on STCA Model Considering Variable Direction Lanes in I-VICS," Sustainability, MDPI, vol. 13(24), pages 1-17, December.
    19. Boris Chetverushkin & Antonina Chechina & Natalia Churbanova & Marina Trapeznikova, 2022. "Development of Parallel Algorithms for Intelligent Transportation Systems," Mathematics, MDPI, vol. 10(4), pages 1-18, February.
    20. Redhu, Poonam & Mehta, Shubham, 2025. "Exploring visibility effects with flux variations under autonomous and human-driven vehicles environment in heterogeneous lattice model," Chaos, Solitons & Fractals, Elsevier, vol. 197(C).

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    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:683:y:2026:i:c:s0378437125009008. 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.