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Generalized Optimal Velocity Model For Traffic Flow

Author

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  • SHIRO SAWADA

    (Department of Telecommunications, Takuma National College of Technology, Mitoyo, Kagawa 769-1192, Japan)

Abstract

A generalized optimal velocity model is analyzed, where the optimal velocity function depends not only on the headway of each car but also the headway of the immediately preceding one. The stability condition of the model is derived by considering a small perturbation around the homogeneous flow solution. The effect of the generalized optimal velocity function is also confirmed with numerical simulations, by examining the hysteresis loop in the headway-velocity phase space, and the relation between the flow and density of cars. In the model with a specific parameter choice, it is found that an intermediate state appears for the movement of cars, where the car keeps a certain velocity whether the headway is short or long. This phenomenon is different from the ordinary stop-and-go state.

Suggested Citation

  • Shiro Sawada, 2002. "Generalized Optimal Velocity Model For Traffic Flow," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 13(01), pages 1-12.
    • Handle: RePEc:wsi:ijmpcx:v:13:y:2002:i:01:n:s0129183102002894
    DOI: 10.1142/S0129183102002894
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    Citations

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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. Li, Xiaopeng & Wang, Xin & Ouyang, Yanfeng, 2012. "Prediction and field validation of traffic oscillation propagation under nonlinear car-following laws," Transportation Research Part B: Methodological, Elsevier, vol. 46(3), pages 409-423.
    3. Li, Xiaopeng & Cui, Jianxun & An, Shi & Parsafard, Mohsen, 2014. "Stop-and-go traffic analysis: Theoretical properties, environmental impacts and oscillation mitigation," Transportation Research Part B: Methodological, Elsevier, vol. 70(C), pages 319-339.
    4. Song, Tao & Zhu, Wen-Xing, 2020. "Study on state feedback control strategy for car-following system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 558(C).
    5. Li, Xiaopeng & Ouyang, Yanfeng, 2011. "Characterization of traffic oscillation propagation under nonlinear car-following laws," Transportation Research Part B: Methodological, Elsevier, vol. 45(9), pages 1346-1361.
    6. Li, Xiaopeng & Peng, Fan & Ouyang, Yanfeng, 2010. "Measurement and estimation of traffic oscillation properties," Transportation Research Part B: Methodological, Elsevier, vol. 44(1), pages 1-14, January.

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