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The Generalized Fundamental Diagram of Traffic and Possible Applications

In: Traffic and Granular Flow’01

Author

Listed:
  • E. Tomer

    (Bar-Ilan University, Minerva Center and Department of Physics)

  • L. A. Safonov

    (Bar-Ilan University, Minerva Center and Department of Physics
    Voronezh State University, Department of Applied Mathematics and Mechanics)

  • S. Havlin

    (Bar-Ilan University, Minerva Center and Department of Physics)

Abstract

We propose a new optimization strategy based on inducing stop-and-go waves on the main road and controlling their wavelength. Using numerical simulations of a recent stochastic car-following model [11] we show that this strategy yields optimization of traffic flow in systems with a localized periodic inhomogeneity, such as signalized intersections and entry ramps. The optimization process is explained by our finding of a generalized fundamental diagram (GFD) for traffic, namely a fluxdensity-wavelength relation. Projecting the GFD on the density-flux plane yields a two-dimensional region of stable states, qualitatively similar to that found empirically [7] in synchronized traffic. The empirical finding of the dependence of the wavelength on the average velocity can also be explained using the same approach.

Suggested Citation

  • E. Tomer & L. A. Safonov & S. Havlin, 2003. "The Generalized Fundamental Diagram of Traffic and Possible Applications," Springer Books, in: Minoru Fukui & Yuki Sugiyama & Michael Schreckenberg & Dietrich E. Wolf (ed.), Traffic and Granular Flow’01, pages 169-186, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-10583-2_16
    DOI: 10.1007/978-3-662-10583-2_16
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