Dresden 2003 – wissenschaftliches Programm

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AKSOE: Physik sozio-ökonomischer Systeme

AKSOE 3: Postersitzung

AKSOE 3.15: Poster

Montag, 24. März 2003, 15:45–17:15, P1

Open boundaries in a traffic flow model with a non-unique flow-density relation — •Michael Spahn and Peter Wagner — Institute for Transportation Research, German Aerospace Center, Rutherfordstr. 2, D-12489 Berlin, Germany

Kerner et. al. recently introduced a cellular automaton traffic flow model with a two-dimensional region of possible stationary states in the flow-density plane [1]. Open boundaries are studied in detail for this model. Additionally, there exists a general extremal principle established by Schütz et. al. connecting the flow through the open link with the fundamental diagram observed with periodic boundary conditions [2], although it is only known to be valid for models with a unique flow-density relation. We explored the applicability of this principle to Kerner’s cellular automaton model. The preparation of the boundaries plays a crucial role for this investigation and therefore several boundary strategies are compared.

[1] B.S. Kerner, S.L. Klenov and D.E. Wolf, Cellular automata approach to three-phase traffic theory, arXiv:cond-mat/0206370

[2] V. Popkov and G.M. Schütz, Europhys. Lett. 48, 257 (1999)