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Two-Variable Macroscopic Fundamental Diagrams for Traffic Networks

In: Traffic and Granular Flow '11

Author

Listed:
  • Victor L. Knoop

    (Delft University of Technology, Department of Transport & Planning)

  • Serge P. Hoogendoorn

    (Delft University of Technology, Department of Transport & Planning)

Abstract

Traditionally, traffic is studied at the level of individual vehicles (microscopic), or the level of road sections (macroscopic). Recently, a higher level of study has been introduced, the level of an area. In homogeneous traffic conditions, there is a relationship between the number of vehicles in an area (accumulation) and the average flow in that area (production). This paper studies this relationship under inhomogeneity. Using simulation on a grid network it is shown that the performance of a network is a smooth function of the average network density (accumulation) and the spatial variation of the density. Hence, we introduce a two-variable macroscopic fundamental diagram (TV-MFD) which also holds in a inhomogeneous transition state, for instance in queue build up. The TV-MFD can be used for network control, for instance at ramp metering installations or at a more aggregate level perimeter control.

Suggested Citation

  • Victor L. Knoop & Serge P. Hoogendoorn, 2013. "Two-Variable Macroscopic Fundamental Diagrams for Traffic Networks," Springer Books, in: Valery V. Kozlov & Alexander P. Buslaev & Alexander S. Bugaev & Marina V. Yashina & Andreas Schadsch (ed.), Traffic and Granular Flow '11, edition 127, pages 351-360, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-39669-4_34
    DOI: 10.1007/978-3-642-39669-4_34
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