Analysis of speed disturbances in empirical single vehicle probe data before traffic breakdown

Molzahn, Sven-Eric; Kerner, Boris S.; Rehborn, Hubert; Klenov, Sergey L.; Koller, Micha

doi:10.1049/iet-its.2016.0315

Cited by 18 publications

(1 citation statement)

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“…emergent synchronized flow the S→F instability is realized that leads to an S→F transition; finally, free flow returns at the bottleneck and the emergent synchronized flow dissolves (called as "dissolving synchronized flow" at the bottleneck). Recently, sequences of F→S→F transitions before traffic breakdown predicted in [43] have indeed been observed in real field traffic data [122]. Thus, a question arises: Do sequences of F→S→F transitions effect on statistical physical features of synchronized flow found above in this paper?…”

Section: F→s→f Transitions Before Traffic Breakdown and Phase Tranmentioning

confidence: 57%

Statistical physics of synchronized traffic flow: Spatiotemporal competition betweenS→FandS→Jinstabilities

Kerner

2019

Phys. Rev. E

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We have revealed statistical physics of synchronized traffic flow that is governed by a spatiotemporal competition between S→F and S→J instabilities (where F, S, and J denote, respectively, the free flow, synchronized flow, and wide moving jam traffic phases). A probabilistic analysis of synchronized flow based on simulations of a cellular automaton model in the framework of three-phase traffic theory is made. This probabilistic analysis shows that there is a finite range of the initial space-gap between vehicles in synchronized flow within which during a chosen time for traffic observation either synchronized flow persists with probability PS, or an S→F transition occurs with probability PSF, or else an S→J transition occurs with probability PSJ. Space-gap dependencies of the probabilities PS, PSF, and PSJ have been found. It has been also found that (i) an initial S→F instability can lead to sequences of S→F→S→J transitions; (ii) an initial S→J instability can lead to sequences of S→J→S→F transitions. Each of the phase transitions in the sequences S→F→S→J transitions and S→J→S→F transitions exhibits the nucleation nature; these sequences of phase transitions determine spatiotemporal features of traffic patterns resulting from the competition between S→F and S→J instabilities. The statistical features of synchronized flow found for a homogeneous road remain qualitatively for a road with a bottleneck. However, rather than nuclei for S→F and S→J instabilities occur at random road locations of the homogeneous road, due to a permanent non-homogeneity introduced by the bottleneck, nuclei for initial S→F and S→J instabilities appear mostly at the bottleneck.

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Section: F→s→f Transitions Before Traffic Breakdown and Phase Tranmentioning

confidence: 57%