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An original traffic flow model with signal effect for energy dissipation

Author

Listed:
  • Wen-Xing Zhu

    (School of Control Science and Engineering, Shandong University Jinan 250061, P. R. China)

  • Li-Dong Zhang

    (School of Jiaotong and Wuliu Engineering, Shandong Jiaotong University, Jinan 250023, P. R. China)

Abstract

We proposed an original traffic flow model with a consideration of signal effect based on Bando's optimal velocity model. The optimal velocity function was improved more realistically in describing the motion process of vehicles moving on a road with signals. Based on the improved model, we derived the mathematical expression for energy dissipation. Simulations are conducted to verify the energy dissipation laws in traffic flow with signals. Numerical results show that energy dissipation (rate) can be affected not only by traffic density, but also traffic signal control parameters: split and cycle.

Suggested Citation

  • Wen-Xing Zhu & Li-Dong Zhang, 2014. "An original traffic flow model with signal effect for energy dissipation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 25(07), pages 1-11.
  • Handle: RePEc:wsi:ijmpcx:v:25:y:2014:i:07:n:s0129183114500181
    DOI: 10.1142/S0129183114500181
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    Citations

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    Cited by:

    1. Wang, Zihao & Ge, Hongxia & Cheng, Rongjun, 2018. "Nonlinear analysis for a modified continuum model considering driver’s memory and backward looking effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 18-27.
    2. Jin, Zhizhan & Li, Zhipeng & Cheng, Rongjun & Ge, Hongxia, 2018. "Nonlinear analysis for an improved car-following model account for the optimal velocity changes with memory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 507(C), pages 278-288.

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