Congested traffic states in empirical observations and microscopic simulations

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

Volumn 62, Issue 2, 2000, Pages 1805-1824

  Treiber, Martin ^a   Hennecke, Ansgar ^a   Helbing, Dirk ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; HIGHWAY SYSTEMS; INTERSECTIONS; MATHEMATICAL MODELS; MICROSCOPIC EXAMINATION; PHASE DIAGRAMS;

CONGESTED TRAFFIC; INTELLIGENT DRIVER MODEL; MICROSCOPIC SIMULATIONS;

TRAFFIC SURVEYS;

EID: 0034239164     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.62.1805     Document Type: Article

References (60)

1. F.L. Hall and K. Agyemang-Duah, Transp. Res. Rec. 1320, 91 (1991).
2. C. F. Daganzo, in Proceedings of the 13th International Symbosium on Transportation and Traffic Theory, edited by J. B. Lesort (Pergamon, Tarrytown, NY, 1996), p. 629.
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. T. Nagatani, J. Phys. Soc. Jpn. 66, L1928 (1997).
6. B. Persaud, S. Yagar, and R. Brownlee, Transp. Res. Rec. 1634, 64 (1998).
7. B.S. Kerner, Phys. Rev. Lett. 81, 3797 (1998).
8. D. Helbing and M. Treiber, Phys. Rev. Lett. 81, 3042 (1998).
9. D. Helbing and M. Treiber, Science 282, 2001 (1998).
10. H.Y. Lee, H.W. Lee, and D. Kim, Phys. Rev. Lett. 81, 1130 (1998).
11. H.Y. Lee, H.W. Lee, and D. Kim, Phys. Rev. E 59, 5101 (1999).
12. H.Y. Lee, H.W. Lee, and D. Kim, e-print cond-mat/9905292.
13. C.F. Daganzo, M.J. Cassidy, and R.L. Bertini, Transp. Res., Part B: Methodol. 33B, 25 (1999).
14. D. Helbing A. Hennecke, and M. Treiber, Phys. Rev. Lett. 82, 4360 (1999).
15. B. S. Kerner, Transp. Res. Rec. 1678, 160 (1999).
16. B.S. Kerner and H. Rehborn, Int. Verkehr. 5, 196 (1998).
17. D. Helbing and M. Treiber, Comput. Sci. Eng. 5, 89 (1999).
18. D. Helbing, Verkehrsdynamik (Springer, Berlin, 1997).
19. D. Helbing, Phys. Rev. E 55, R25 (1997).
20. M. Treiber and D. Helbing, J. Phys. A 32, L17 (1999).
21. S. Smulders, 7th International Conference on Road Traffic Monitoring and Control (IEE, London, 1994), pp. 145–149.
22. V. Shvetsov and D. Helbing, Phys. Rev. E 59, 6328 (1999).
23. B.S. Kerner and H. Rehborn, Phys. Rev. E 53, R1297 (1996).
24. M.J. Lighthill and G.B. Whitham, Proc. R. Soc. London, Ser. A 229, 317 (1955).
25. M. Cremer and F. Meißner, in Modelling and Simulation 1993, edited by A. Pave (Society for Computer Simulation International, Ghent, Belgium, 1993), pp. 513–519.
26. B.S. Kerner and P. Konhäuser, Phys. Rev. E 50, 54 (1994).
27. M. Treiber A. Hennecke, and D. Helbing, Phys. Rev. E 59, 239 (1999).
28. G.F. Newell, Oper. Res. 9, 209 (1961).
29. P.G. Gipps, Transp. Res., Part B: Methodol. 15, 105 (1981).
30. R. Wiedemann, Simulation des Straßenverkehrsflusses, Vol. 8 of Schriftenreihe des IfV (Institut für Verkehrswesen, University of Karlsruhe, Germany, 1974).
31. M. Bando , Phys. Rev. E 51, 1035 (1995).
32. S. Krauß, in Traffic and Granular Flow ’97, edited by M. Schreckenberg and D. E. Wolf (Springer, Singapore, 1998), pp. 269–283.
33. B. Tilch and D. Helbing, Phys. Rev. E 58, 133 (1998).
34. For an overview, see the internet page http://hippo.mit.edu/products/mitsim/main.html.
35. L.D. Howe, Physica A 246, 157 (1997).
36. M. Treiber and D. Helbing, e-print cond-mat/9901239.
37. M. Treiber, A. Hennecke, and D. Helbing, in Traffic and Granular Flow ’99, edited by D. Helbing, H.J. Herrmann, M. Schreckenberg, and D.E. Wolf (Springer, Berlin, in press).
38. O. Biham A.A. Middleton, and D. Levine, Phys. Rev. A 46, R6124 (1992).
39. M. Cremer and J. Ludwig, Math. Comput. Simul. 28, 297 (1986).
40. K. Nagel and M. Schreckenberg, J. Phys. I 2, 2221 (1992).
41. R. Barlovic, L. Santen, A. Schadschneider, and M. Schreckenberg, in Traffic and Granular Flow ’97 (Ref. 32), p. 335.
42. D. Helbing and B.A. Huberman, Nature (London) 396, 738 (1998).
43. D.E. Wolf, Physica A 263, 438 (1999).
44. R.D. Kühne, in Proceedings of the 9th International Symposium on Transportation and Traffic Theory, edited by I. Volmuller and R. Hamerslag (VNU Science Press, Utrecht, 1984), p. 21.
45. J. Treiterer and J.A. Myers, in Proceedings of the 6th International Symposium on Transportation and Traffic Theory, edited by D. J. Buckley (Elsevier, New York, 1974), p. 13, empirical observation of trajectories.
46. A. Hennecke, M. Treiber, and D. Helbing, in Traffic and Granular Flow ’99 (Ref. 37).
47. A. Reuschel, Österr. Ing.-Arch. 4, 193 (1950).
48. R.E. Chandler, R. Herman, and E.W. Montroll, Oper. Res. 6, 165 (1958).
49. R. Herman, E.W. Montroll, R.B. Potts, and R.W. Rothery, Oper. Res. 7, 86 (1959).
50. D.C. Gazis, R. Herman, and R.W. Rothery, Oper. Res. 9, 545 (1961).
51. L.C. Edie, Transp. Res., Part B: Methodol. 28B, 66 (1961).
52. T. Bleile, Ph.D. thesis, University of Stuttgart, Germany, 1999.
53. P.G. Gipps, Transp. Res., Part B: Methodol. 20B, 403 (1986).
54. M. Muramatsu and T. Nagatani, Phys. Rev. E 60, 180 (1999).
55. The simulations were performed on a personal workstation with a 433 Mhz Alpha processor.
56. B.S. Kerner, P. Konhäuser, and M. Schilke, Phys. Rev. E 51, 6243 (1995).
57. Since speed limits lead to reduced desired velocities for many drivers as well, one might conclude that speed limits also cause undesirable local bottlenecks. The main effect of speed limits is, however, to reduce the velocity variance, which leads to less braking maneuvers and de facto to a higher capacity. In contrast, gradients mainly influence slow vehicles (trucks), leading to higher values for the velocity variance.
58. D.C. Gazis and R. Herman, Transp. Sci. 26(3), 223–229 (1992).
59. E. Ben-Naim and P.L. Krapivsky, Phys. Rev. E 56, 6680 (1997).
60. Interactive simulations of the multilane IDM are available at www.theo2.physik.uni-stuttgart.de/treiber/MicroApplet/.