Memory effects in microscopic traffic models and wide scattering in flow-density data

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 68, Issue 4 2, 2003, Pages 461191-461198

  Treiber, Martin ^a   Helbing, Dirk ^a  

^a DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; MATHEMATICAL MODELS; SCATTERING; SHOCK WAVES; SYNCHRONIZATION; TRAFFIC CONTROL; VEHICLES; WAVE PROPAGATION;

INTELLIGENT-DRIVER MODEL (IDM); TRAFFIC MODELS;

AUTOMOBILE DRIVERS;

EID: 0346935017     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (41)

1. D. Helbing, Rev. Mod. Phys. 73, 1067 (2001).
2. Traffic and Granular Flow'01: Social, Traffic, and Granular Dynamics, edited by M. Fukui, Y. Sugiyama, M. Schreckenberg, and D.E. Wolf (Springer, Berlin, 2003).
3. B.S. Kerner and H. Rehborn, Phys. Rev. E 53, R4275 (1996).
4. B.S. Kerner and H. Rehborn, Phys. Rev. Lett. 79, 4030 (1997).
5. B.S. Kerner, Phys. Rev. E 65, 046138 (2002).
6. P. Nelson, Phys. Rev. E 61, R6052 (2000).
7. R. Wiedemann, Simulation des Straßenverkehrsflusses, Schriftenreihe des IfV Vol. 8 (Universität Karlsruhe, Karlsruhe, Germany, 1974).
8. A. Namazi, N. Eissfeldt, and A. Schadschneider, Eur. Phys. J. B 30, 559 (2002).
9. B.S. Kerner and S.L. Klenov, J. Phys. A 35, L31 (2002).
10. D. Helbing, D. Batic, M. Schönhof, and M. Treiber, Physica A 303, 251 (2002).
11. B.S. Kerner, S.L. Klenov, and D. Wolf, J. Phys. A 35, 9971 (2002).
12. W. Brilon and M. Ponzlet, in Traffic and Granular Flow, edited by D.E. Wolf, M. Schreckenberg, and A. Bachem (World Scientific, Singapore, 1996), pp. 23-40.
13. S. Krauß, DLR, Report No. 98-08, 1998 (unpublished).
14. M. Treiber and D. Helbing, e-print cond-mat/9901239.
15. H. Lenz, C. Wagner, and R. Sollacher, Eur. Phys. J. B 7, 331 (1998).
16. W. Knospe, L. Santen, A. Schadschneider, and M. Schreckenberg, Phys. Rev. E 65, 015101 (2001).
17. I. Lubashevsky, R. Mahnke, P. Wagner, and S. Kalenkov, Phys. Rev. E 66, 016117 (2002).
18. J.H. Banks, An Investigation of Some Characteristics of Congested Flow, 1998 (unpublished).
19. M. Treiber and D. Helbing, J. Phys. A 32, L17 (1999).
20. B. Tilch and D. Helbing, in Traffic and Granular Flow'99, edited by D. Helbing, H. Herrmann, M. Schreckenberg, and D. Wolf (Springer, Berlin, 2000), pp. 333-338.
21. L. Neubert, L. Santen, A. Schadschneider, and M. Schreckenberg, in Traffic and Granular Flow'99 (Ref. [20]), pp. 307-314.
22. K. Nishinari, M. Treiber, and D. Helbing, e-print cond-mat/0212295 (2002).
23. M. Treiber, A. Hennecke, and D. Helbing, in Traffic and Granular Flow'99 (Ref. [20]), pp. 365-376.
24. M. Treiber, A. Hennecke, and D. Helbing, Phys. Rev. E 62, 1805 (2000).
25. L. Edie and R. Foote, in Highway Research Board Proceedings, 37th Annual Meeting, edited by H. Orland (National Academy of Sciences, Washington D.C., 1958).
26. P. de Gennes, Scaling Concepts in Polymer Physics (University Press, Cambridge, 1979).
27. S. Fedotov and Y. Okuda, Phys. Rev. E 66, 021113 (2002).
28. M. Schulz, S. Trimper, and B. Schulz, Phys. Rev. E 64, 026104 (2001).
29. W. Knospe, L. Santen, A. Schadschneider, and M. Schreckenberg, Phys. Rev. E 65, 056133 (2002).
30. D. Helbing and M. Treiber, Comput. Sci. Eng. 1, 89 (1999).
31. Remarkably, this simple scheme turned out to be more effective than standard fourth-order Runge-Kutta steps.
32. D. Helbing, A. Hennecke, V. Shvetsov, and M. Treiber, Math. Comput. Modell. 35, 517 (2002).
33. B.S. Kerner, Phys. Rev. Lett. 81, 3797 (1998).
34. D. Helbing, A. Hennecke, and M. Treiber, Phys. Rev. Lett. 82, 4360 (1999).
35. P.G. Gipps, Transp. Res., Part B: Methodol. 15, 105 (1981).
36. M. Treiber, A. Hennecke, and D. Helbing, Phys. Rev. E 59, 239 (1999).
37. R. Barlovic, L. Santen, A. Schadschneider, and M. Schreckenberg, Traffic and Granular Flow'97 (Springer, Singapore, 1998), p. 335.
38. M. Treiber and D. Helbing, Cooperative Transportation Dynamics 1, 3.1 (2002), (Internet Journal, www.TrafficForum.org/journal); D. Helbing, Physik Journal 2(5), 35 (2003); D. Helbing, in Encyklopedia of Nonlinear Science, edited by Alwyn Scott (Fitzroy Dearborn, London, in press); M. Schönhof and D. Helbing (unpublished); C. Drösser (unpublished).
39. M. Treiber and D. Helbing, Cooperative Transportation Dynamics 1, 3.1 (2002), (Internet Journal, www.TrafficForum.org/journal); D. Helbing, Physik Journal 2(5), 35 (2003); D. Helbing, in Encyklopedia of Nonlinear Science, edited by Alwyn Scott (Fitzroy Dearborn, London, in press); M. Schönhof and D. Helbing (unpublished); C. Drösser (unpublished).
40. M. Treiber and D. Helbing, Cooperative Transportation Dynamics 1, 3.1 (2002), (Internet Journal, www.TrafficForum.org/journal); D. Helbing, Physik Journal 2(5), 35 (2003); D. Helbing, in Encyklopedia of Nonlinear Science, edited by Alwyn Scott (Fitzroy Dearborn, London, in press); M. Schönhof and D. Helbing (unpublished); C. Drösser (unpublished).
41. M. Mauch and M.J. Cassidy, in International Symposium of Traffic and Transportation Theory, edited by M. Taylor (Elsevier, Amsterdam, 2002).