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Derivation of a fundamental diagram for urban traffic flow

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  • D. Helbing

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  • D. Helbing, 2009. "Derivation of a fundamental diagram for urban traffic flow," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 70(2), pages 229-241, July.
    • Handle: RePEc:spr:eurphb:v:70:y:2009:i:2:p:229-241
    DOI: 10.1140/epjb/e2009-00093-7
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    References listed on IDEAS

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    1. D. Helbing & M. Treiber & A. Kesting & M. Schönhof, 2009. "Theoretical vs. empirical classification and prediction of congested traffic states," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 69(4), pages 583-598, June.
    2. Daganzo, Carlos F. & Geroliminis, Nikolas, 2008. "An analytical approximation for the macroscopic fundamental diagram of urban traffic," Transportation Research Part B: Methodological, Elsevier, vol. 42(9), pages 771-781, November.
    3. Daganzo, Carlos F & Geroliminis, Nikolas, 2008. "An analytical approximation for the macropscopic fundamental diagram of urban traffic," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt4cb8h3jm, Institute of Transportation Studies, UC Berkeley.
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    Cited by:

    1. Wu, Xinkai & Liu, Henry X. & Geroliminis, Nikolas, 2011. "An empirical analysis on the arterial fundamental diagram," Transportation Research Part B: Methodological, Elsevier, vol. 45(1), pages 255-266, January.
    2. Hong-Ze Zhang & Rui Jiang & Mao-Bin Hu & Bin Jia, 2016. "Analytical investigation on the minimum traffic delay at a two-phase intersection considering the dynamical evolution process of queues," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 27(10), pages 1-12, October.
    3. Nikolaos Askitas, 2016. "Predicting Road Conditions with Internet Search," PLOS ONE, Public Library of Science, vol. 11(8), pages 1-12, August.
    4. Ranjan, Abhishek & Fosgerau, Mogens & Jenelius, Erik, 2016. "Emergence of a urban traffic macroscopic fundamental diagram," MPRA Paper 74350, University Library of Munich, Germany, revised 07 Oct 2016.
    5. Zhong, R.X. & Chen, C. & Huang, Y.P. & Sumalee, A. & Lam, W.H.K. & Xu, D.B., 2018. "Robust perimeter control for two urban regions with macroscopic fundamental diagrams: A control-Lyapunov function approach," Transportation Research Part B: Methodological, Elsevier, vol. 117(PB), pages 687-707.
    6. Zhang, Lele & Garoni, Timothy M & de Gier, Jan, 2013. "A comparative study of Macroscopic Fundamental Diagrams of arterial road networks governed by adaptive traffic signal systems," Transportation Research Part B: Methodological, Elsevier, vol. 49(C), pages 1-23.
    7. Jin, Wen-Long & Gan, Qi-Jian & Gayah, Vikash V., 2013. "A kinematic wave approach to traffic statics and dynamics in a double-ring network," Transportation Research Part B: Methodological, Elsevier, vol. 57(C), pages 114-131.
    8. 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.
    9. Alex Pauwels & Nadia Pourmohammad-Zia & Frederik Schulte, 2022. "Safety and Sustainable Development of Automated Driving in Mixed-Traffic Urban Areas—Considering Vulnerable Road Users and Network Efficiency," Sustainability, MDPI, vol. 14(20), pages 1-23, October.
    10. Geroliminis, Nikolas & Sun, Jie, 2011. "Properties of a well-defined macroscopic fundamental diagram for urban traffic," Transportation Research Part B: Methodological, Elsevier, vol. 45(3), pages 605-617, March.
    11. Qi-Jian Gan & Wen-Long Jin & Vikash V. Gayah, 2017. "Analysis of Traffic Statics and Dynamics in Signalized Networks: A Poincaré Map Approach," Transportation Science, INFORMS, vol. 51(3), pages 1009-1029, August.
    12. Wu, Chao-Yun & Li, Ming & Jiang, Rui & Hao, Qing-Yi & Hu, Mao-Bin, 2018. "Perimeter control for urban traffic system based on macroscopic fundamental diagram," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 231-242.
    13. Combinido, Jay Samuel L. & Lim, May T., 2010. "Modeling U-turn traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(17), pages 3640-3647.
    14. Geroliminis, Nikolas & Boyacı, Burak, 2012. "The effect of variability of urban systems characteristics in the network capacity," Transportation Research Part B: Methodological, Elsevier, vol. 46(10), pages 1607-1623.
    15. Haddad, Jack & Ramezani, Mohsen & Geroliminis, Nikolas, 2013. "Cooperative traffic control of a mixed network with two urban regions and a freeway," Transportation Research Part B: Methodological, Elsevier, vol. 54(C), pages 17-36.
    16. Keyvan-Ekbatani, Mehdi & Kouvelas, Anastasios & Papamichail, Ioannis & Papageorgiou, Markos, 2012. "Exploiting the fundamental diagram of urban networks for feedback-based gating," Transportation Research Part B: Methodological, Elsevier, vol. 46(10), pages 1393-1403.
    17. Wu, Chao-Yun & Hu, Mao-Bin & Jiang, Rui & Hao, Qing-Yi, 2021. "Effects of road network structure on the performance of urban traffic systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 563(C).

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