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Congested Traffic States in Empirical Observations and Microscopic Simulations

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arxiv cond-mat/0002177 v2 pith:ICZ3IJSC submitted 2000-02-11 cond-mat.stat-mech

Congested Traffic States in Empirical Observations and Microscopic Simulations

classification cond-mat.stat-mech
keywords trafficcongestedmodelstatesinhomogeneitiesmicroscopicroadclusters
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present data from several German freeways showing different kinds of congested traffic forming near road inhomogeneities, specifically lane closings, intersections, or uphill gradients. The states are localized or extended, homogeneous or oscillating. Combined states are observed as well, like the coexistence of moving localized clusters and clusters pinned at road inhomogeneities, or regions of oscillating congested traffic upstream of nearly homogeneous congested traffic. The experimental findings are consistent with a recently proposed theoretical phase diagram for traffic near on-ramps [D. Helbing, A. Hennecke, and M. Treiber, Phys. Rev. Lett. {\bf 82}, 4360 (1999)]. We simulate these situations with a novel continuous microscopic single-lane model, the ``intelligent driver model'' (IDM), using the empirical boundary conditions. All observations, including the coexistence of states, are qualitatively reproduced by describing inhomogeneities with local variations of one model parameter. We show that the results of the microscopic model can be understood by formulating the theoretical phase diagram for bottlenecks in a more general way. In particular, a local drop of the road capacity induced by parameter variations has practically the same effect as an on-ramp.

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