dorsal/arxiv
View SchemaDeterministic approach to microscopic three-phase traffic theory
| Authors | Boris S. Kerner, Sergey L. Klenov |
|---|---|
| Categories | |
| ArXiv ID | physics/0507120 |
| URL | https://arxiv.org/abs/physics/0507120 |
| DOI | 10.1088/0305-4470/39/8/002 |
| Journal | J. Phys. A: Math. Gen. 39 (2006) 1775-1809 |
Abstract
Two different deterministic microscopic traffic flow models, which are in the context of the Kerner's there-phase traffic theory, are introduced. In an acceleration time delay model (ATD-model), different time delays in driver acceleration associated with driver behaviour in various local driving situations are explicitly incorporated into the model. Vehicle acceleration depends on local traffic situation, i.e., whether a driver is within the free flow, or synchronized flow, or else wide moving jam traffic phase. In a speed adaptation model (SA-model), vehicle speed adaptation occurs in synchronized flow depending on driving conditions. It is found that the ATD- and SA-models show spatiotemporal congested traffic patterns that are adequate with empirical results. In the ATD- and SA-models, the onset of congestion in free flow at a freeway bottleneck is associated with a first-order phase transition from free flow to synchronized flow; moving jams emerge spontaneously in synchronized flow only. Differences between the ATD- and SA-models are studied. A comparison of the ATD- and SA-models with stochastic models in the context of three phase traffic theory is made. A critical discussion of earlier traffic flow theories and models based on the fundamental diagram approach is presented.
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"abstract": "Two different deterministic microscopic traffic flow models, which are in the\ncontext of the Kerner\u0027s there-phase traffic theory, are introduced. In an\nacceleration time delay model (ATD-model), different time delays in driver\nacceleration associated with driver behaviour in various local driving\nsituations are explicitly incorporated into the model. Vehicle acceleration\ndepends on local traffic situation, i.e., whether a driver is within the free\nflow, or synchronized flow, or else wide moving jam traffic phase. In a speed\nadaptation model (SA-model), vehicle speed adaptation occurs in synchronized\nflow depending on driving conditions. It is found that the ATD- and SA-models\nshow spatiotemporal congested traffic patterns that are adequate with empirical\nresults. In the ATD- and SA-models, the onset of congestion in free flow at a\nfreeway bottleneck is associated with a first-order phase transition from free\nflow to synchronized flow; moving jams emerge spontaneously in synchronized\nflow only. Differences between the ATD- and SA-models are studied. A comparison\nof the ATD- and SA-models with stochastic models in the context of three phase\ntraffic theory is made. A critical discussion of earlier traffic flow theories\nand models based on the fundamental diagram approach is presented.",
"arxiv_id": "physics/0507120",
"authors": [
"Boris S. Kerner",
"Sergey L. Klenov"
],
"categories": [
"physics.soc-ph"
],
"doi": "10.1088/0305-4470/39/8/002",
"journal_ref": "J. Phys. A: Math. Gen. 39 (2006) 1775-1809",
"title": "Deterministic approach to microscopic three-phase traffic theory",
"url": "https://arxiv.org/abs/physics/0507120"
},
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