Cellular automata approach to three-phase traffic theory

Journal of Physics A: Mathematical and General

Volumn 35, Issue 47, 2002, Pages 9971-10013

  Kerner, Boris S ^a   Klenov, Sergey L ^b   Wolf, Dietrich E ^c  

^a DAIMLER AG   (Germany)

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

^c UNIVERSITY OF DUISBURG ESSEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037195720     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/35/47/303     Document Type: Article

References (67)

1. Helbing D 2001 Rev. Mod. Phys. 73 1067
2. Chowdhury D, Santen L and Schadschneider A 2000 Phys. Rep. 329 199
3. Kerner B S 1999 Phys. World 12 25
4. Kerner B S 2001 Netw. Spatial Econ. 1 35
5. Kerner B S and Rehborn H 1996 Phys. Rev. E 53 R4275
6. Kerner B S 1998 Phys. Rev. Lett. 81 3797
7. Kerner B S 2000 Transp. Res. Rec. 1710 136
8. Kerner B S 2002 Phys. Rev. E 65 046138
9. Kerner B S 2000 J. Phys. A: Math. Gen. 33 L221
10. Helbing D, Hennecke A and Treiber M 1999 Phys. Rev. Lett. 82 4360
11. Lee H Y, Lee H W and Kim D 1998 Phys. Rev. Lett. 81 1130
12. Lee H Y, Lee H W and Kim D 1999 Phys. Rev. E 59 5101
13. Lee H Y, Lee H W and Kim D 2000 Physica A 281 78
14. Lee H Y, Lee H W and Kim D 2000 Phys. Rev. E 62 4737
15. Treiber M, Hennecke A and Helbing D 2000 Phys. Rev. E 62 1805
16. Treiber M and Helbing D 1999 J. Phys. A: Math. Gen. 32 L17-L23
17. Helbing D and Treiber M 2002 Preprint trafficforum/02031301
18. Tomer E, Safonov L and Havlin S 2000 Phys. Rev. Lett. 84 382
19. Lubashevsky I and Mahnke R 2000 Phys. Rev. E 62 6082
20. Lubashevsky I, Mahnke R, Wagner P and Kalenkov S 2002 Phys. Rev. E 66 016117
21. Nelson P 2000 Phys. Rev. E 61 R6052
22. Knospe W, Santen L, Schadschneider A and Schreckenberg M 2000 J. Phys. A: Math. Gen. 33 L477
23. Knospe W, Santen L, Schadschneider A and Schreckenberg M 2002 Phys. Rev. E 65 015101(R)
24. Kerner B S and Klenov S L 2002 J. Phys. A: Math. Gen. 35 L31
25. Rosswog S and Wagner P 2002 Phys. Rev. E 65
26. Fukui M, Nishinari K, Takahashi D and Ishibashi Y 2002 Physica A 303 226-38
27. May A D 1990 Traffic Flow Fundamental (Englewood Cliffs, NJ: Prentice-Hall)
28. Lighthill M J and Whitham G B 1955 Proc. R. Soc. A 229 317
29. Gazis D C, Herman R and Rothery R W 1961 Oper. Res. 9 545-67
30. Newell G F 1961 Oper. Res. 9 209
31. Whitham G B 1990 Proc. R. Soc. A 428 49
32. Prigogine I 1961 Theory of Traffic Flow ed R Herman (Amsterdam: Elsevier) p 158; Prigogine I and Herman R 1971 Kinetic Theory of Vehicular Traffic (New York: Elsevier)
33. Prigogine I 1961 Theory of Traffic Flow ed R Herman (Amsterdam: Elsevier) p 158; Prigogine I and Herman R 1971 Kinetic Theory of Vehicular Traffic (New York: Elsevier)
34. Kerner B S and Konhäuser P 1994 Phys. Rev. E 50 54-83
35. Kerner B S, Konhäuser P and Schilke M 1995 Phys. Rev. E 51 6243-6
36. Herrmann M and Kerner B S 1998 Physica A 255 163-88
37. Nagel K 1993 Physics Computing '92 ed R A de Groot and J Nadrchal (Singapore: World Scientific) p 419; Nagel K and Schreckenberg M 1992 J. Physique 12 2221
38. Nagel K 1993 Physics Computing '92 ed R A de Groot and J Nadrchal (Singapore: World Scientific) p 419; Nagel K and Schreckenberg M 1992 J. Physique 12 2221
39. Nagel K and Paczuski M 1995 Phys. Rev. E 51 2909
40. Schreckenberg M, Schadschneider A, Nagel K and Ito N Phys. Rev. E 51 2939
41. Barlovic R, Santen L, Schadschneider A and Schreckenberg M 1998 Eur. J. Phys. B 5 793
42. Wolf D E 1999 Physica A 263 438
43. Kerner B S 1998 Proc. 3rd Symp. on Highway Capacity and Level of Service vol 2 ed R Rysgaard (Denmark: Road Directorate, Ministry of Transport) pp 621-42
44. Kerner B S 1999 Transp. Res. Rec. 1678 160-7
45. Kerner B S 1999 Transportation and traffic theory Proc. 14th Int. Symp. on Transportation and Traffic Theory ed A Ceder (Oxford: Elsevier) p 147; Kerner B S 2000 Traffic and Granular Flow'99 ed D Helbing, H J Herrmann, M Schreckenberg and D E Wolf (Berlin: Springer) pp 253-83
46. Kerner B S 1999 Transportation and traffic theory Proc. 14th Int. Symp. on Transportation and Traffic Theory ed A Ceder (Oxford: Elsevier) p 147; Kerner B S 2000 Traffic and Granular Flow'99 ed D Helbing, H J Herrmann, M Schreckenberg and D E Wolf (Berlin: Springer) pp 253-83
47. Koshi M, Iwasaki M and Ohkura I 1983 Proc. 8th Int. Symp. on Transportation and Traffic Theory ed V F Hurdle et al (Toronto, Ontario: University of Toronto Press) p 403
48. Kerner B S 2002 Preprints of the Transportation Research Board 81st Annual Meeting TRB Paper 02-2918 (Washington DC: TRB); Kerner B S 2002 Trans. Res. Rec. at press; Kerner B S 2002 Transportation and Traffic Theory in the 21st Century ed M A P Taylor (Amsterdam: Elsevier) pp 417-39
49. Kerner B S 2002 Preprints of the Transportation Research Board 81st Annual Meeting TRB Paper 02-2918 (Washington DC: TRB); Kerner B S 2002 Trans. Res. Rec. at press; Kerner B S 2002 Transportation and Traffic Theory in the 21st Century ed M A P Taylor (Amsterdam: Elsevier) pp 417-39
50. Kerner B S 2002 Preprints of the Transportation Research Board 81st Annual Meeting TRB Paper 02-2918 (Washington DC: TRB); Kerner B S 2002 Trans. Res. Rec. at press; Kerner B S 2002 Transportation and Traffic Theory in the 21st Century ed M A P Taylor (Amsterdam: Elsevier) pp 417-39
51. Krauß S, Wagner P and Gawron C 1997 Phys. Rev. E 53 5597
52. Knospe W, Santen L, Schadschneider A and Schreckenberg M 2002 Preprint cond-mat/0202346
53. Wiedemann R 1974 Simulation des Straßenverkehrsflusses Schriftenreihe des Instituts für Verkehrswesen der Universität Karlsruhe, Germany, Heft 8
54. Nagel K, Wolf D E, Wagner P and Simon P 1998 Phys. Rev. E 58 1425
55. Brilon W and Wu H 1999 Traffic and Mobility ed W Brilon, F Huber, M Schreckenberg and H Wallentowitz (Berlin: Springer) pp 163-80
56. Takayasu M and Takayasu H 1993 Fractals 1 860
57. Kerner B S 2002 Traffic and Granular Flow' 01 ed M Fukui, Y Sugiyama, M Schreckenberg and D Wolf (Berlin: Springer) at press
58. Mahnke R and Pieret N 1997 Phys. Rev. E 56 2666
59. Mahnke R and Kaupužs J 1999 Phys. Rev. E 59 117
60. Kühne R, Mahnke R, Lubashevsky I and Kaupužs J 2002 Phys. Rev. E 66 066125
61. Jost D 2002 Breakdown and recovery in traffic flow models Master's Thesis ETH Zürich
62. Jost D and Nagel K 2002 Preprint cond-mat/0208082
63. Hall F L, Hurdle V F and Banks J H 1992 Transp. Res. Rec. 1365 12-8
64. Persaud B, Yagar S and Brownlee R 1998 Transp. Res. Rec. 1634 64-9
65. Kerner B S and Rehborn H 1996 Phys. Rev. E 53 R1297
66. Bando M, Hasebe K, Nakayama A, Shibata A and Sugiyama Y 1995 J. Physique 15 1389
67. Kerner B S 2002 Math. Comput. Modelling 35 481-508