Abstract
The slow-to-start mechanism is known to play an important role in the particular shape of the fundamental diagram of traffic and to be associated to hysteresis effects of traffic flow. We study this question in the context of stochastic processes, namely exclusion and queueing processes, by including explicitly an asymmetry between deceleration and acceleration in their formulation. Spatial condensation phenomena and metastability are observed, depending on the level of the aforementioned asymmetry. The relationship between these two families of models is analyzed on the ring geometry, to yield a large deviations formulation of the fundamental diagram (FD).
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Acknowledgements
This work was supported by the French National Research Agency (ANR) grant No ANR-08-SYSC-017.
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Furtlehner, C., Lasgouttes, JM., Samsonov, M. (2013). The Fundamental Diagram on the Ring Geometry for Particle Processes with Acceleration/Braking Asymmetry. In: Kozlov, V., Buslaev, A., Bugaev, A., Yashina, M., Schadschneider, A., Schreckenberg, M. (eds) Traffic and Granular Flow '11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39669-4_1
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