dorsal/arxiv
View SchemaStochasticity of Road Traffic Dynamics: Comprehensive Linear and Nonlinear Time Series Analysis on High Resolution Freeway Traffic Records
| Authors | Helge Siegel, Dennis Belomestnyi |
|---|---|
| Categories | |
| ArXiv ID | physics/0602136 |
| URL | https://arxiv.org/abs/physics/0602136 |
Abstract
The dynamical properties of road traffic time series from North-Rhine Westphalian motorways are investigated. The article shows that road traffic dynamics is well described as a persistent stochastic process with two fixed points representing the freeflow (non-congested) and the congested state regime. These traffic states have different statistical properties, with respect to waiting time distribution, velocity distribution and autocorrelation. Logdifferences of velocity records reveal non-normal, obviously leptocurtic distribution. Further, linear and nonlinear phase-plane based analysis methods yield no evidence for any determinism or deterministic chaos to be involved in traffic dynamics on shorter than diurnal time scales. Several Hurst-exponent estimators indicate long-range dependence for the free flow state. Finally, our results are not in accordance to the typical heuristic fingerprints of self-organized criticality. We suggest the more simplistic assumption of a non-critical phase transition between freeflow and congested traffic.
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"abstract": "The dynamical properties of road traffic time series from North-Rhine\nWestphalian motorways are investigated. The article shows that road traffic\ndynamics is well described as a persistent stochastic process with two fixed\npoints representing the freeflow (non-congested) and the congested state\nregime. These traffic states have different statistical properties, with\nrespect to waiting time distribution, velocity distribution and\nautocorrelation. Logdifferences of velocity records reveal non-normal,\nobviously leptocurtic distribution. Further, linear and nonlinear phase-plane\nbased analysis methods yield no evidence for any determinism or deterministic\nchaos to be involved in traffic dynamics on shorter than diurnal time scales.\nSeveral Hurst-exponent estimators indicate long-range dependence for the free\nflow state. Finally, our results are not in accordance to the typical heuristic\nfingerprints of self-organized criticality. We suggest the more simplistic\nassumption of a non-critical phase transition between freeflow and congested\ntraffic.",
"arxiv_id": "physics/0602136",
"authors": [
"Helge Siegel",
"Dennis Belomestnyi"
],
"categories": [
"physics.data-an"
],
"title": "Stochasticity of Road Traffic Dynamics: Comprehensive Linear and Nonlinear Time Series Analysis on High Resolution Freeway Traffic Records",
"url": "https://arxiv.org/abs/physics/0602136"
},
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