Reconstruction of dynamical equations for traffic flow

Preprint English OPEN
Kriso, S. ; Friedrich, R. ; Peinke, J. ; Wagner, P. (2001)

Traffic flow data collected by an induction loop detector on the highway close to Koeln-Nord are investigated with respect to their dynamics including the stochastic content. In particular we present a new method, with which the flow dynamics can be extracted directly from the measured data. As a result a Langevin equation for the traffic flow is obtained. From the deterministic part of the flow dynamics, stable fixed points are extracted and set into relation with common features of the fundamental diagram.
  • References (8)

    [1] B. S. Kerner, Traffic Flow, Experiment and Theory, in Proceedings of the Workshop on Traffic and Granular Flow '97, (Springer Verlag, Berlin, 1998) pp. 239-267

    [2] H. Risken, The Fokker-Planck Equation (Springer, Berlin, 1989).

    [3] S. Siegert, R. Friedrich, and J. Peinke, Phys. Lett. A 243, 275 (1998); 271, 217 (2000).

    [4] M. Siefert, Diplomarbeit Oldenburg, 2000.

    [5] B. S. Kerner, Phys. Rev. Lett. 81, 3797 (1998).

    [6] It is commonly known, that in Germany people like to drive about 10 percent faster than given speed limits. With this speed there is still no punishment by the police.

    [7] L. Neubert, L. Santen, A. Schadschneider, and M. Schreckenberg, Phys. Rev. E 60 6480 (1999).

    [8] B. S. Kerner, J. Phys. A 33, L221-L228 (2000).

  • Metrics
    No metrics available
Share - Bookmark