Dresden 2006 – scientific programme

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AKSOE: Physik sozio-ökonomischer Systeme

AKSOE 10: Poster Session (posters are expected to be displayed the full day 8:30-18:00)

AKSOE 10.45: Poster

Wednesday, March 29, 2006, 16:00–18:00, P2

Stability of steady state solutions in balanced vehicular traffic — •Florian Siebel and Wolfram Mauser — Department of Earth and Environmental Sciences, University of Munich, Luisenstraße 37, D-80333 Munich

We investigate a continuum model for vehicular traffic flow, which can be motivated by including a finite reaction time of drivers in the traffic model of Aw, Rascle and Greenberg. The model can be written as a hyperbolic system of balance laws. We analyze the steady state solutions and their stability properties. In addition to the equilibrium flow curve the trivial steady state solutions form two additional branches in the flow-density diagram. We show that the characteristic structure excludes parts of these branches resulting in the reverse λ shape of the flow-density relation. The upper branch is metastable against the formation of synchronized flow for intermediate densities and unstable for high densities, whereas the lower branch is unstable for intermediate densities and metastable for high densities. Moreover, the model reproduces the characteristic properties of wide moving jam formation and propagation.