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The effects of overtaking strategy in the Nagel-Schreckenberg model

Author

Listed:
  • Zhu Su

    (Complexity Science Center, Institute of Particle Physics, Central China Normal University)

  • Weibing Deng

    (Complexity Science Center, Institute of Particle Physics, Central China Normal University)

  • Longfeng Zhao

    (Complexity Science Center, Institute of Particle Physics, Central China Normal University)

  • Jihui Han

    (Complexity Science Center, Institute of Particle Physics, Central China Normal University)

  • Wei Li

    (Complexity Science Center, Institute of Particle Physics, Central China Normal University)

  • Xu Cai

    (Complexity Science Center, Institute of Particle Physics, Central China Normal University)

Abstract

Based on the Nagel-Schreckenberg (NS) model with periodic boundary conditions, we proposed the NSOS model by adding the overtaking strategy (OS). In our model, overtaking vehicles are randomly selected with probability q at each time step, and the successful overtaking is determined by their velocities. We observed that (i) traffic jams still occur in the NSOS model; (ii) OS increases the traffic flow in the regime where the densities exceed the maximum flow density. We also studied the phase transition (from free flow phase to jammed phase) of the NSOS model by analyzing the overtaking success rate, order parameter, relaxation time and correlation function, respectively. It was shown that the NSOS model differs from the NS model mainly in the jammed regime, and the influence of OS on the transition density is dominated by the braking probability p.

Suggested Citation

  • Zhu Su & Weibing Deng & Longfeng Zhao & Jihui Han & Wei Li & Xu Cai, 2016. "The effects of overtaking strategy in the Nagel-Schreckenberg model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 89(9), pages 1-8, September.
    • Handle: RePEc:spr:eurphb:v:89:y:2016:i:9:d:10.1140_epjb_e2016-60958-0
    DOI: 10.1140/epjb/e2016-60958-0
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    Cited by:

    1. 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.
    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. 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).
    4. Simão, Ricardo & Wardil, Lucas, 2021. "Social dilemma in traffic with heterogeneous drivers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 561(C).
    5. 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).

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    Keywords

    Computational Methods;

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