Stochastic theory of freeway traffic

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

Volumn 59, Issue 1, 1999, Pages 117-125

  Mahnke, R ^a   Kaupuzs J ^b  

^a UNIVERSITY OF ROSTOCK   (Germany)

^b UNIVERSITY OF LATVIA   (Latvia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000442330     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.59.117     Document Type: Article

References (25)

1. Self-Organization of Complex Structures, edited by F. Schweitzer (Gordon and Breach Science Publ., Amsterdam, 1997).
2. D. Helbing, Verkehrsdynamik: Neue Physikalische Modellierungskonzepte (Springer, Berlin, 1997).
3. B. S. Kerner and P. Konhäuser, Phys. Rev. E 48, R2335 (1993).
4. B. S. Kerner and P. Konhäuser, Phys. Rev. E 50, 54 (1994).
5. W. Leutzbach, Einführung in die Theorie des Verkehrsflusses (Springer, Berlin, 1972);Introduction to the Theory of Traffic Flow (Springer, Berlin, 1988).
6. Traffic and Granular Flow ’97, edited by M. Schreckenberg and D. E. Wolf (Springer, Singapore, 1998).
7. Traffic and Granular Flow, edited by D. E. Wolf, M. Schreckenberg, and A. Bachem (World Scientific Publ., Singapore, 1996).
8. K. Nagel, Phys. Rev. E 53, 4655 (1996).
9. K. Nagel and M. Paczuski, Phys. Rev. E 51, 2909 (1995).
10. K. Nagel and M. Schreckenberg, J. Phys. I 2, 2221 (1992).
11. M. Schreckenberg, A. Schadschneider, K. Nagel, and N. Ito, Phys. Rev. E 51, 2939 (1995).
12. M. Bando, K. Hasebe, A. Nakayama, A. Shibata, and Y. Sugiyama, Jpn. J. Indust. Appl. Math 11, 203 (1994).
13. M. Bando, K. Hasebe, A. Nakayama, A. Shibata, and Y. Sugiyama, Phys. Rev. E 51, 1035 (1995).
14. M. Bando, K. Hasebe, K. Nakanishi, A. Nakayama, A. Shibata, and Y. Sugiyama, J. Phys. I 5, 1389 (1995).
15. I. Prigogine and R. Herman, Kinematic Theory of Vehicular Traffic (Elsevier, New York, 1971).
16. R. Mahnke and N. Pieret, Phys. Rev. E 56, 2666 (1997).
17. B. S. Kerner and H. Rehborn, Phys. Rev. E 53, R1297 (1996).
18. B. S. Kerner and H. Rehborn, Phys. Rev. E 53, R4275 (1996).
19. B. S. Kerner and H. Rehborn, Phys. Rev. Lett. 79, 4030 (1997).
20. D. Helbing, Phys. Rev. E 55, R25 (1997).
21. P. Wagner and J. Peinke, Z. Naturforsch., A: Phys. Sci. 52a, 600 (1997).
22. W. Brilon and M. Ponzlet (Ref. 7), p. 23.
23. R. Mahnke and J. Kaupužs, One More Fundamental Diagram of Traffic Flow, Presentation at the Second Workshop on Traffic and Granular Flow, Duisburg, 1997, edited by M. Schreckenberg and D. E. Wolf (Springer, Singapore, 1998), see 6.
24. C. W. Gardiner, Handbook of Stochastic Methods (Springer, New York, 1983).
25. J. Honerkamp, Stochastische Dynamische Systeme (VCH, Weinheim, 1990);Stochastic Dynamical Systems (VCH, New York, 1994).