Probabilistic breakdown phenomenon at on-ramp bottlenecks in three-phase traffic theory: Congestion nucleation in spatially non-homogeneous traffic

Physica A: Statistical Mechanics and its Applications

Volumn 364, Issue , 2006, Pages 473-492

  Kerner, Boris S ^a   Klenov, Sergey L ^b  

^a DAIMLER AG   (Germany)

^b MOSCOW INSTITUTE OF PHYSICS AND TECHNOLOGY   (Russian Federation)

Author keywords

Phase transitions in traffic flow; Synchronized flow; Three phase traffic theory; Traffic breakdown at on ramp bottleneck; Traffic breakdown nucleation

Indexed keywords

NUCLEATION; PHASE TRANSITIONS; RANDOM PROCESSES; STATISTICAL MECHANICS; SYNCHRONIZATION;

ON-RAMP BOTTLENECKS; PHASE TRANSITIONS IN TRAFFIC FLOW; SYNCHRONIZED FLOW; THREE-PHASE TRAFFIC THEORY; TRAFFIC BREAKDOWN AT ON-RAMP BOTTLENECK; TRAFFIC BREAKDOWN NUCLEATION;

TRAFFIC CONTROL;

EID: 33645132835     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2005.09.056     Document Type: Article

References (50)

1. F.L. Hall, V.F. Hurdle, and J.H. Banks Transp. Res. Rec. 1365 1992 12 18
2. J.H. Banks Transp. Res. Rec. 1802 2002 225 232
3. B.S. Kerner The Physics of Traffic 2004 Springer Berlin, New York
4. J.-B. Lesort (Ed.), Transportation and Traffic Theory, Proceedings of the 13th International Symposium on Transportation and Traffic Theory, Elsevier Science Ltd, Oxford, 1996.
5. A. Ceder (Ed.), Transportation and Traffic Theory, Proceedings of the 14th International Symposium on Transportation and Traffic Theory, Elsevier Science Ltd, Oxford, 1999.
6. M.A.P. Taylor (Ed.), Transportation and Traffic Theory in the 21st Century, Proceedings of the 15th International Symposium on Transportation and Traffic Theory, Elsevier Science Ltd, Amsterdam, 2002.
7. H.S. Mahmassani (Ed.), Transportation and Traffic Theory: Flow, Dynamics and Human Interactions, Proceedings of the 16th International Symposium on Transportation and Traffic Theory, Elsevier Science Ltd, Amsterdam, 2005.
8. L. Elefteriadou, R.P. Roess, and W.R. McShane Transp. Res. Rec. 1484 1995 80 89
9. B.N. Persaud, S. Yagar, and R. Brownlee Transp. Res. Rec. 1634 1998 64 69
10. M. Lorenz, and L. Elefteriadou Transp. Res. Circ. E-C018 2000 84 95
11. B.S. Kerner, and P. Konhäuser Phys. Rev. E 50 1994 54 83
12. M. Bando, K. Hasebe, A. Nakayama, A. Shibata, and Y. Sugiyama Phys. Rev. E 51 1995 1035 1042
13. M. Schreckenberg, A. Schadschneider, K. Nagel, and N. Ito Phys. Rev. E 51 1995 2939
14. R. Mahnke, and N. Pieret Phys. Rev. E 56 1997 2666
15. R. Mahnke, and J. Kaupužs Phys. Rev. E 59 1999 117
16. R. Kühne, R. Mahnke, I. Lubashevsky, and J. Kaupužs Phys. Rev. E 66 2002 066125
17. N.H. Gartner, C.J. Messer, A. Rathi (Eds.), Special Report 165: Revised Monograph on Traffic Flow Theory, Transportation Research Board, Washington, DC, 1997.
18. D. Chowdhury, L. Santen, and A. Schadschneider Phys. Rep. 329 2000 199
19. D. Helbing Rev. Mod. Phys. 73 2001 1067 1141
20. T. Nagatani Rep. Prog. Phys. 65 2002 1331 1386
21. K. Nagel, P. Wagner, and R. Woesler Oper. Res. 51 2003 681 716
22. D.E. Wolf, M. Schreckenberg, A. Bachem (Eds.), Traffic and Granular Flow, Proceedings of the International Workshop on Traffic and Granular Flow, October 1995, World Scientific, Singapore, 1995.
23. M. Schreckenberg, D.E. Wolf (Eds.), Traffic and Granular Flow' 97, Proceedings of the International Workshop on Traffic and Granular Flow, October 1997, Springer, Singapore, 1998.
24. D. Helbing, H.J. Herrmann, M. Schreckenberg, D.E. Wolf (Eds.), Traffic and Granular Flow' 99, Proceedings of the International Workshop on Traffic and Granular Flow, October 1999, Springer, Heidelberg, 2000.
25. M. Fukui, Y. Sugiyama, M. Schreckenberg, D.E. Wolf (Eds,), Traffic and Granular Flow' 01, Proceedings of the International Workshop on Traffic and Granular Flow, October 2001, Springer, Heidelberg, 2003.
26. S.P. Hoogendoorn, S. Luding, P.H.L. Bovy, M. Schreckenberg, D.E. Wolf (Eds.), Traffic and Granular Flow' 03, Proceedings of the International Workshop on Traffic and Granular Flow, October 2003, Springer, Heidelberg, 2005.
27. B.S. Kerner, P. Konhäuser, and M. Schilke Phys. Rev. E 51 1995 6243 6246
28. D. Helbing, A. Hennecke, and M. Treiber Phys. Rev. Lett. 82 1999 4360
29. M. Treiber, A. Hennecke, and D. Helbing Phys. Rev. E 62 2000 1805 1824
30. H.Y. Lee, H.-W. Lee, and D. Kim Phys. Rev. E 59 1999 5101
31. B.S. Kerner Phys. Rev. Lett. 81 1998 3797
32. B.S. Kerner Phys. Rev. E 65 2002 046138
33. B.S. Kerner, and S.L. Klenov J. Phys. A 35 2002 L31
34. B.S. Kerner, S.L. Klenov, and D.E. Wolf J. Phys. A 35 2002 9971 10013
35. B.S. Kerner, and S.L. Klenov Phys. Rev. E 68 2003 036130
36. B.S. Kerner, and S.L. Klenov J. Phys. A 37 2004 8753 8788
37. L.C. Davis Phys. Rev. E 69 2004 016108
38. H.K. Lee, R. Barlović, M. Schreckenberg, and D. Kim Phys. Rev. Lett. 92 2004 238702
39. R. Jiang, and Q.S. Wu J. Phys. A 37 2004 8197 8213
40. B.S. Kerner, and H. Rehborn Phys. Rev. Lett. 79 1997 4030
41. H. Zurlinden, Ganzjahresanalyse des Verkehrsflusses auf Straßen, Schriftenreihe des Lehrstuhls für Verkehrswesen der Ruhr-Universität Bochum, Heft 26, Bochum, 2003.
42. W. Brilon, H. Zurlinden, Kapazität von Straßen als Zufallsgröße, Straßenverkehrstechnik, Heft 4, 2004.
43. W. Brilon, M. Regler, J. Geistefeld, Zufallscharakter der Kapazität von Autobahnen und praktische Konsequenzen - Teil 1, Straß enverkehrstechnik, Heft 3, 2005.
44. R. Mahnke, J. Kaupužs, and I. Lubashevsky Phys. Rep. 408 2005 1 130
45. C.W. Gardiner Handbook of Stochastic Methods for Physics, Chemistry, and the Natural Sciences 1994 Springer Berlin
46. N.G. van Kampen Stochastic Processes in Physics and Chemistry 1984 North-Holland Physics Publishing Amsterdam
47. R. Kühne, I. Lubashevsky, R. Mahnke, J. Kaupužs, cond-mat/0405163 (2004).
48. B.S. Kerner Transp. Res. Rec. 1710 2000 136
49. B.S. Kerner, and V.V. Osipov Autosolitons: A New Approach to Problems of Self-Organization and Turbulence 1994 Kluwer Dordrecht, Boston, London
50. A.S. Mikhailov, Foundations of Synergetics, vol. I, second ed., Springer, Berlin, 1994.