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A Simple Statistical Method for Reproducing the Highway Traffic

In: Traffic and Granular Flow '13

Author

Listed:
  • Luis Eduardo Olmos

    (Universidad Nacional de Colombia)

  • José Daniel Muñoz

    (Universidad Nacional de Colombia)

Abstract

Some of the most important questions concerning the traffic flow theory are focused on the correct functional form of the empirical flow-density fundamental diagram. Although most cellular automata intend to reproduce this diagram by measuring the limit steady-states from the dynamic simulation, real roads are constantly perturbed by external factors, driving the system to explore a much broader phase space. Hereby, we show that a Monte Carlo sampling of all states compatible with a driving rule (previously derived for Bogota) actually reproduces the measured fundamental diagram, both in mean values and dispersion, when all such states are assumed equally probable. Even more, by using the Wardrop’s relation, the same gathered data also approximates the general form of the time-mean fundamental diagrams. These results suggest that driving rules are much richer in information than usually expected and, that the assumption of equally probable states plus a finite length of road may be a first model for the statistical description of highways.

Suggested Citation

  • Luis Eduardo Olmos & José Daniel Muñoz, 2015. "A Simple Statistical Method for Reproducing the Highway Traffic," Springer Books, in: Mohcine Chraibi & Maik Boltes & Andreas Schadschneider & Armin Seyfried (ed.), Traffic and Granular Flow '13, edition 127, pages 407-414, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-10629-8_46
    DOI: 10.1007/978-3-319-10629-8_46
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