Study of freeway speed limit control based on three-phase traffic theory

Transportation Research Record

Volumn , Issue 1999, 2007, Pages 30-39

  Kerner, Boris S ^a  

^a DAIMLER AG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

NUMERICAL ANALYSIS; SPEED CONTROL; STOCHASTIC CONTROL SYSTEMS; TRAFFIC CONGESTION;

SPATIOTEMPORAL CONGESTED PATTERN; THREE-PHASE TRAFFIC THEORY; TRAFFIC BREAKDOWN;

STREET TRAFFIC CONTROL;

EID: 38849162853     PISSN: 03611981     EISSN: None     Source Type: Journal    
DOI: 10.3141/1999-04     Document Type: Article

References (26)

1. Kerner, B. S. The Physics of Traffic. Springer, New York, 2004.
2. May, D. Traffic Flow Fundamentals. Prentice Hall, Inc., Upper Saddle River, N.J., 1990.
3. Cremer, M. Der Verkehrsfluss auf Schnellstrassen. Springer, Berlin, 1979.
4. Highway Capacity Manual. TRB, National Research Council, Washington, D.C., 2000.
5. Arnold, E. D. Ramp Metering: A Review of the Literature. Virginia Transportation Research Council, Charlottesville, 1998.
6. Papageorgiou, M., and A. Kotsialos. Freeway Ramp Metering: An Overview. IEEE Transactions on Intelligent Transportation Systems, Vol. 3, 2002, pp. 271-281.
7. Kerner, B. S. Control of Spatiotemporal Congested Patterns at Highway Bottlenecks. Physica A, Vol. 355, 2005, pp. 565-601.
8. Kerner, B. S. On-Ramp Metering Based on Three-Phase Traffic Theory. Traffic Engineering and Control, Vol. 48, 2007, pp. 28-35; pp. 66-75; pp. 114-122.
9. Nagel, K., P. Wagner, and R. Woesler. Still Flowing: Approaches to Traffic Flow and Traffic Jam Modeling. Operations Research, Vol. 51, 2003, pp. 681-716.
10. Helbing, D. Traffic and Related Self-Driven Many-Particle Systems. Reviews of Modern Physics, Vol. 73, 2001, pp. 1067-1141.
11. Lighthill, M. J., and G. B. Whitham. On Kinematic Waves. I: Flood Movement in Long Rivers. II: A Theory of Traffic Flow on Long Crowded Roads. Proceedings of the Royal Society of London, Series A, Vol.229, 1955, pp. 281-345.
12. Richards, P. I. Shockwaves on the Highway. Operations Research, Vol. 4, 1956, pp. 42-51.
13. Daganzo, C. F. The Cell-Transmission Model: A Dynamic Representation of Highway Traffic Consistent with the Hydrodynamic Theory. Transportation Research B, Vol. 28, 1993, pp. 269-287.
14. Herman, R., E. W. Montroll, R. B. Potts, and R. W. Rothery. Traffic Dynamics: Analysis of Stability in Car Following. Operations Research, Vol. 7, 1959, pp. 86-106.
15. Gazis, D. C., R. Herman, and R. W. Rothery. Nonlinear Follow-the-Leader Models of Traffic Flow. Operations Research, Vol. 9, 1961, pp. 545-567.
16. Newell, G. F. Non-Linear Effects in the Dynamics of Car-Following. Operations Research, Vol. 9, 1961, pp. 209-229.
17. Whitham, G. B. Exact Solutions for a Discrete System Arising in Traffic Flow. Proceedings of the Royal Society of London, Series A, Vol. 428, 1990, pp. 49-69.
18. Bando, M., K. Hasebe, A. Nakayama, A. Shibata, and Y. Sugiyama. Dynamical Model of Traffic Congestion and Numerical Simulations. Physical Review E, Vol. 51, 1995, pp. 1035-1042.
19. Payne, H. J. Models of Freeway Traffic and Control. In Mathematical Models of Public Systems (G. A. Bekey, ed.), Vol. 1, Simulation Council, La Jolla, Calif., 1971, pp. 51-61.
20. Wiedemann, R. Simulation des Verkehrsflusses. University of Karlsruhe, Karlsruhe, Germany, 1974.
21. Nagel, K., and M. Schreckenberg. A Cellular Automaton Model for Freeway Traffic. Journal de Physique I, Vol. 2, 1992, pp. 2221-2229.
22. Krauß, S., P. Wagner, and C. Gawron. Metastable States in a Microscopic Model of Traffic Flow. Physical Review E, Vol. 55, 1997, pp. 5597-5602.
23. Treiber, M., A. Hennecke, and D. Helbing. Congested Traffic States in Empirical Observations and Microscopic Simulations. Physical Review E, Vol. 62, 2000, pp. 1805-1824.
24. Kerner, B. S., and P. Konhäuser. Structure and Parameters of Clusters in Traffic Flow. Physical Review E, Vol. 50, 1994, pp. 54-83.
25. Kerner, B. S., and S. L. Klenov. Deterministic Microscopic Three-Phase Traffic Flow Models. Journal of Physics A: Mathematical and General, Vol. 39, 2006, pp. 1775-1809; 7605.
26. Krauß, S. Microscopic Modelling of Traffic Flow: Investigation of Collision Free Vehicle Dynamics. PhD thesis. University of Cologne, Germany, 1998.