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An improved inertia model to reproduce car-following instability

Author

Listed:
  • Lang, Lei
  • Guo, Ning
  • Jiang, Rui
  • Zhu, Kong-jin

Abstract

In order to better study dynamic traffic, experiment and modeling are two common methods. Through experiments, some interesting phenomena and conclusions can be found. In the experiment of Jiang et al., (2014), the standard deviations of speeds of cars show a concave tendency. The amplitudes of car accelerations become larger along the car platoon. However, the simulation results by the inertia model and 2D-inertia model cannot be consistent with the experimental ones quantitatively. To this end, we put forward an improved 2D-inertial model, in which different mechanisms of acceleration and deceleration are considered. As a result, both the speed standard deviation and acceleration tendency in simulation can match to the experimental ones. Moreover, the fundamental relationship between flow rate, density and speed has been analyzed. There are different traffic dynamics at the high density from homogeneous/mega-jam initial configuration.

Suggested Citation

  • Lang, Lei & Guo, Ning & Jiang, Rui & Zhu, Kong-jin, 2019. "An improved inertia model to reproduce car-following instability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 526(C).
    • Handle: RePEc:eee:phsmap:v:526:y:2019:i:c:s0378437119306673
    DOI: 10.1016/j.physa.2019.121087
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    Cited by:

    1. Jun Du & Bin Jia & Shiteng Zheng, 2022. "Stability Analysis of Continuous Stochastic Linear Model," Sustainability, MDPI, vol. 14(5), pages 1-13, March.
    2. Yu Wang & Xiaopeng Li & Junfang Tian & Rui Jiang, 2020. "Stability Analysis of Stochastic Linear Car-Following Models," Transportation Science, INFORMS, vol. 54(1), pages 274-297, January.

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