The Generalized Fundamental Diagram of Traffic and Possible Applications

E. Tomer, L. A. Safonov and S. Havlin
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E. Tomer: Bar-Ilan University, Minerva Center and Department of Physics
L. A. Safonov: Bar-Ilan University, Minerva Center and Department of Physics
S. Havlin: Bar-Ilan University, Minerva Center and Department of Physics

A chapter in Traffic and Granular Flow’01, 2003, pp 169-186 from Springer

Abstract: 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.

Keywords: Traffic Flow; Deterministic Model; Signal Period; Main Road; Congested Traffic (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1007/978-3-662-10583-2_16

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