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An analytical approximation for the macropscopic fundamental diagram of urban traffic

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  • Daganzo, Carlos F
  • Geroliminis, Nikolas

Abstract

This paper shows that a macroscopic fundamental diagram (MFD) relating flow and average density must exist on any street with blocks of diverse widths and lengths, but no turns, even if all or some of the intersections are controlled by arbitrarily timed traffic signals. The timing patterns are assumed to be fixed in time. Exact expressions in terms of a shortest path recipe are given, both, for the street’s capacity and its MFD. Approximate formulas that require little data are also given. Conditions under which the results can be approximately extended to networks encompassing large city neighborhoods are discussed. The MFD’s produced with this method for the central business districts of San Francisco (California) and Yokohama (Japan) are compared with those obtained experimentally in earlier publications.

Suggested Citation

  • 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.
    • Handle: RePEc:cdl:itsrrp:qt4cb8h3jm
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    References listed on IDEAS

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    1. Daganzo, Carlos F., 2005. "Improving City Mobility through Gridlock Control: an Approach and Some Ideas," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt7w6232wq, Institute of Transportation Studies, UC Berkeley.
    2. Daganzo, Carlos F., 2006. "On the Variational Theory of Traffic Flow: Well-Posedness, Duality and Applications," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt61v1r1qq, Institute of Transportation Studies, UC Berkeley.
    3. Daganzo, Carlos F., 2005. "A variational formulation of kinematic waves: Solution methods," Transportation Research Part B: Methodological, Elsevier, vol. 39(10), pages 934-950, December.
    4. Daganzo, Carlos F., 2005. "A variational formulation of kinematic waves: basic theory and complex boundary conditions," Transportation Research Part B: Methodological, Elsevier, vol. 39(2), pages 187-196, February.
    5. Daganzo, Carlos F., 2007. "Urban gridlock: Macroscopic modeling and mitigation approaches," Transportation Research Part B: Methodological, Elsevier, vol. 41(1), pages 49-62, January.
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