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Analysis of predictive effect on lattice hydrodynamic traffic flow model

Author

Listed:
  • Wang, Tao
  • Zang, Rudong
  • Xu, Keyu
  • Zhang, Jing

Abstract

This paper proposes a new lattice hydrodynamic traffic flow model which works by incorporating the predictive effect of expected traffic variation tendencies. We use a linear method to analyze the influence of predictive effect on traffic stream stability. The derived analytical critical stable lines indicate that the expected behavior of the vehicle ahead can enhance traffic stability. Then we adapt the reductive perturbation method to deduce the modified Korteweg–de Vries (mKdV) equation. Also, kink–antikink solutions capable of describing traffic jams are derived. The numerical results show that the predictive effect has the capability to improve traffic stability.

Suggested Citation

  • Wang, Tao & Zang, Rudong & Xu, Keyu & Zhang, Jing, 2019. "Analysis of predictive effect on lattice hydrodynamic traffic flow model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 526(C).
    • Handle: RePEc:eee:phsmap:v:526:y:2019:i:c:s0378437119303115
    DOI: 10.1016/j.physa.2019.03.076
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    Citations

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    Cited by:

    1. 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).
    2. Verma, Muskan & Singla, Tanvi & Gupta, Arvind Kumar & Sharma, Sapna, 2024. "The role of occupancy on traffic flow in a multiple-loop network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 638(C).
    3. Kaur, Daljeet & Sharma, Sapna & Gupta, Arvind Kumar, 2022. "Analyses of lattice hydrodynamic area occupancy model for heterogeneous disorder traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).
    4. Zhai, Cong & Wu, Weitiao & Xiao, Yingping & Luo, Qiang & Zhang, Yusong, 2022. "Modeling bidirectional pedestrian flow with the perceived uncertainty of preceding pedestrian information," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 597(C).
    5. 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).
    6. Muskan Verma & Arvind Kumar Gupta & Sapna Sharma, 2024. "Traffic flow dynamics and oscillation control in conserved fractal networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(10), pages 1-12, October.
    7. Huimin Liu & Rongjun Cheng & Tingliu Xu, 2021. "Analysis of a Novel Two-Dimensional Lattice Hydrodynamic Model Considering Predictive Effect," Mathematics, MDPI, vol. 9(19), pages 1-13, October.
    8. Kaur, Daljeet & Sharma, Sapna, 2020. "A new two-lane lattice model by considering predictive effect in traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 539(C).
    9. 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).
    10. Zhai, Cong & Wu, Weitiao, 2021. "A continuous traffic flow model considering predictive headway variation and preceding vehicle’s taillight effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 584(C).

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