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Scaling from Circuit Experiment to Real Traffic Based on Optimal Velocity Model

In: Traffic and Granular Flow '15

Author

Listed:
  • Akihiro Nakayama

    (Meijo University, Faculty of Science and Technology)

  • Macoto Kikuchi

    (Cybermedia Center, Osaka University)

  • Akihiro Shibata

    (Computing Research Center, High Energy Accelerator Research Organisation)

  • Yuki Sugiyama

    (Nagoya University, Department of Complex Systems Science)

  • Shin-ichi Tadaki

    (Saga University, Department of Information Science)

  • Satoshi Yukawa

    (Osaka University, Department of Earth and Space Science)

Abstract

The optimal velocityNakayama, Akihiro Kikuchi, Macoto Shibata, Akihiro Sugiyama, Yuki Tadaki, Shin-ichi Yukawa, Satoshi (OV) model was proposed to explain the physical mechanism of jam formation. The emergence of a traffic jam can be understood as a kind of dynamical phase transition. We confirmed the physical mechanism by two experiments. In this study, we investigate the relation between experimental results and observations of real traffic based on the OV model. In the OV model, the critical density at which a traffic jam occurs is determined by the OV function. The OV function is estimated from data of headway and velocity obtained by the experiments. Then, we propose a scaling rule of the OV function from the experiments to real traffic. Using this rule, we obtain critical density as a function of a single parameter. The obtained critical density is consistent with the observed values for highway traffic. From this result, we conclude that the jam formation in real traffic is explained by the same mechanism as the circuit experiments.

Suggested Citation

  • Akihiro Nakayama & Macoto Kikuchi & Akihiro Shibata & Yuki Sugiyama & Shin-ichi Tadaki & Satoshi Yukawa, 2016. "Scaling from Circuit Experiment to Real Traffic Based on Optimal Velocity Model," Springer Books, in: Victor L. Knoop & Winnie Daamen (ed.), Traffic and Granular Flow '15, pages 523-530, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-33482-0_66
    DOI: 10.1007/978-3-319-33482-0_66
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