The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
Structure and parameters of clusters in traffic flow
Abstract
The nonlinear theory of the cluster effect in a traffic flow [B. S. Kerner and P. Konh\"auser, Phys. Rev. E 48, 2335 (1993)], i.e., the effect of the appearance of a region of high density and low average velocity of vehicles in an initially homogeneous flow, is presented. The structures of a stationary moving cluster are derived. It is found that the density, the average velocities of vehicles inside and outside the cluster, and also the velocity of the cluster are the characteristic parameters of the traffic flow. The dependencies of the cluster structure and parameters on the density of vehicles in the initially homogeneous flow and on the length of the road are investigated. It is found that the cluster can appear within regions of density of vehicles which correspond to a stable homogeneous flow. It is shown that an appearance of a localized perturbation, having a finite amplitude, in the stable homogeneous flow can lead to a self-formation of a local cluster of vehicles which is surrounded by the homogeneous traffic flow. The parameters of the local cluster do not depend on the amplitude of this perturbation but only on the parameters of the flow.
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Cites
Whiteman, K. J. (1975) · Physics Bulletin · doi:10.1088/0031-9112/26/11/028 · Cited by 7,064
Handbook of Stochastic Methods
Gardiner, C. W. (1983) · Springer Series in Synergetics · doi:10.1007/978-3-662-02377-8 · Cited by 5,961
On kinematic waves II. A theory of traffic flow on long crowded roads
Lighthill, M. J., & Whitham, G. B. (1955) · Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences · doi:10.1098/rspa.1955.0089 · Cited by 4,590
A cellular automaton model for freeway traffic
Nagel, K., & Schreckenberg, M. (1992) · Journal de Physique I · doi:10.1051/jp1:1992277 · Cited by 3,838
Mathematical Handbook for Scientists and Engineers
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Empirical analysis of freeway flow-density relationships
Hall, F. L., Allen, B. L., & Gunter, M. A. (1986) · Transportation Research Part A: General · doi:10.1016/0191-2607(86)90094-4 · Cited by 194
Cited by
Congested traffic states in empirical observations and microscopic simulations
Treiber, M., Hennecke, A., & Helbing, D. (2000) · Physical Review E · doi:10.1103/physreve.62.1805 · Cited by 4,762
Traffic and related self-driven many-particle systems
Helbing, D. (2001) · Reviews of Modern Physics · doi:10.1103/revmodphys.73.1067 · Cited by 3,245
Metastable states in a microscopic model of traffic flow
Krauss, S., Wagner, P., & Gawron, C. (1997) · Physical Review E · doi:10.1103/physreve.55.5597 · Cited by 630
Experimental Features of Self-Organization in Traffic Flow
Kerner, B. S. (1998) · Physical Review Letters · doi:10.1103/physrevlett.81.3797 · Cited by 561
Self-citationDiscrete stochastic models for traffic flow
Schreckenberg, M., Schadschneider, A., Nagel, K., & Ito, N. (1995) · Physical Review E · doi:10.1103/physreve.51.2939 · Cited by 497
Metadata
- Authors
- Kerner, B. S., & Konhäuser, P.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 1994-07-01
- Volume
- 50
- Issue
- 1
- Pages
- 54-83
- ISSN
- 1063-651X (ISSN-L)
- 1095-3787
- OpenAlex
- W2013271219
- Cited by
- 535
- References
- 6
- FWCI
- 34.19
- Type
- journal article
- Language
- en
- Open access
- closed
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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