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Macroscopic fundamental diagram in simple street networks

Author

Listed:
  • Naoki Yoshioka

    (RIKEN Center for Computational Science)

  • Kenji Terada

    (Kobe University)

  • Takashi Shimada

    (The University of Tokyo
    The University of Tokyo)

  • Nobuyasu Ito

    (RIKEN Center for Computational Science
    The University of Tokyo)

Abstract

Macroscopic fundamental diagrams (MFDs) on simple street networks are studied analytically and numerically. We consider nonlinear circuit model that consists of road elements with piecewise linear fundamental diagram. We find that MFDs of the model are discontinuous and sawtooth like. Meanwhile, simulations of optimal velocity model on the same street networks yield continuous MFDs, that are observed in real urban traffic.

Suggested Citation

  • Naoki Yoshioka & Kenji Terada & Takashi Shimada & Nobuyasu Ito, 2019. "Macroscopic fundamental diagram in simple street networks," Journal of Computational Social Science, Springer, vol. 2(1), pages 85-95, January.
    • Handle: RePEc:spr:jcsosc:v:2:y:2019:i:1:d:10.1007_s42001-019-00033-z
    DOI: 10.1007/s42001-019-00033-z
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    References listed on IDEAS

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    1. Geroliminis, Nikolas & Daganzo, Carlos F., 2008. "Existence of urban-scale macroscopic fundamental diagrams: Some experimental findings," Transportation Research Part B: Methodological, Elsevier, vol. 42(9), pages 759-770, November.
    2. Daganzo, Carlos F. & Gayah, Vikash V. & Gonzales, Eric J., 2011. "Macroscopic relations of urban traffic variables: Bifurcations, multivaluedness and instability," Transportation Research Part B: Methodological, Elsevier, vol. 45(1), pages 278-288, January.
    3. Amin Mazloumian & Nikolas Geroliminis & Dirk Helbing, "undated". "The Spatial Variability of Vehicle Densities as Determinant of Urban Network Capacity," Working Papers CCSS-09-009, ETH Zurich, Chair of Systems Design.
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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).

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