Fundamentals of traffic flow

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 55, Issue 3, 1997, Pages 3735-3738

  Helbing, Dirk ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000434793     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.55.3735     Document Type: Article

References (17)

1. D. Helbing, Verkehrsdynamik. Neue physikalische Modellierungskonzepte (Springer, Berlin, 1997).
2. B. S. Kerner and H. Rehborn, Phys. Rev. E 53, 1297;
3. 53, 4275 (1996).
4. D. Helbing, Phys. Rev. E55, 25 (1997).
5. D. Helbing, Phys. Rev. E53, 2366 (1996).
6. D. Helbing, Physica A233, 2531 (1996).
7. C. Wagner, Phys. Rev. E54, 5073 (1996).
8. Publications by W. F. Phillips [Transp. Plann. Technol. 5, 131 (1979)] and by R. D. Kühne [in Proceedings of the Ninth International Symposium on Transportation and Traffic Theory, edited by I. Volmuller and R. Hamerslag (VNU Science, Utrecht, 1984)] have reported about bimodal distributions at large vehicle densities. However, the reason seems to be that they chose a large time interval T. Consequently, fast changes of the traffic conditions such as stop-and-go waves could produce a velocity distribution that appears bimodal.
9. D. Helbing, Phys. Rev. E51, 3164 (1995).
10. R. Kühne, Highway Capacity and Level of Service, edited by U. Brannolte (Balkema, Rotterdam, 1991), and unpublished material.
11. A D. May, Traffic Flow Fundamentals (Prentice Hall, Englewood Cliffs, NJ, 1990).
12. T. Musha and H. Higuchi, Jpn. J. Appl. Phys.17, 811 (1978).
13. K. Nagel and H J. Herrmann, Physica A199, 254 (1993);
14. K. Nagel and M. Paczuski, Phys. Rev. E51, 2909 (1995);
15. X. Zhang and G. Hu, Phys. Rev. Eibid. 52, 4664 (1995);
16. M Y. Choi and H Y. Lee, Phys. Rev. Eibid. 52, 5979 (1995).
17. S. Yukawa and M. Kikuchi, J. Phys. Soc. Jpn.65, 916 (1996).