The Fundamental Diagram on the Ring Geometry for Particle Processes with Acceleration/Braking Asymmetry

Cyril Furtlehner (), Jean-Marc Lasgouttes () and Maxim Samsonov
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Cyril Furtlehner: INRIA Saclay – LRI
Jean-Marc Lasgouttes: INRIA Paris–Rocquencourt – Domaine de Voluceau
Maxim Samsonov: INRIA Saclay – LRI

A chapter in Traffic and Granular Flow '11, 2013, pp 3-14 from Springer

Abstract: 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).

Keywords: Fundamental Diagram (FD); Ring Geometry; Queueing Process; Large Deviations Formulation; Aforementioned Asymmetry (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-39669-4_1

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DOI: 10.1007/978-3-642-39669-4_1

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