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Stochastic Boundary Conditions in the Nagel-Schreckenberg Traffic Model

In: Traffic and Granular Flow ’99

Author

Listed:
  • S. Cheybani

    (Gerhard-Mercator-Universität, Physik von Transport und Verkehr
    Technical University of Budapest, Department of Theoretical Physics)

  • J. Kertész

    (Technical University of Budapest, Department of Theoretical Physics
    Helsinki University of Technology, Laboratory of Computational Engineering)

  • M. Schreckenberg

    (Gerhard-Mercator-Universität, Physik von Transport und Verkehr)

Abstract

We consider the generalization of the asymmetric exclusion model (ASEP) with parallel update where cars can move with velocities v ≤ wmax and vmax > 1. For stochastic open boundary conditions we find a line of a first-order transition separating the free flow phase from the jammed phase. For maximum velocities Vmax ≥ 3 so-called “buffers” develop due to the hindrance an injected car feels from the front car at the beginning of the system. As a consequence, the phase diagram qualitatively differs from that for Vmax ≤ 2.

Suggested Citation

  • S. Cheybani & J. Kertész & M. Schreckenberg, 2000. "Stochastic Boundary Conditions in the Nagel-Schreckenberg Traffic Model," Springer Books, in: Dirk Helbing & Hans J. Herrmann & Michael Schreckenberg & Dietrich E. Wolf (ed.), Traffic and Granular Flow ’99, pages 443-448, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-59751-0_48
    DOI: 10.1007/978-3-642-59751-0_48
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