Derivation of a Fundamental Diagram for Urban Traffic Flow

Details Derivation of a Fundamental Diagram for Urban Traffic Flow Derivation of a Fundamental Diagram for Urban Traffic Flow

2008-07-11

arxiv.org/abs/0807.1843v2

Physics

Physics and Society

For related work, see http://www.helbing.org

Scientific paper

10.1140/epjb/e2009-00093-7

Despite the importance of urban traffic flows, there are only a few theoretical approaches to determine fundamental relationships between macroscopic traffic variables such as the traffic density, the utilization, the average velocity, and the travel time. In the past, empirical measurements have primarily been described by fit curves. Here, we derive expected fundamental relationships from a model of traffic flows at intersections, which suggest that the recently measured fundamental diagrams for urban flows can be systematically understood. In particular, this allows one to derive the average travel time and the average vehicle speed as a function of the utilization and/or the average number of delayed vehicles.

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