A theory of traffic congestion at heavy bottlenecks

Journal of Physics A: Mathematical and Theoretical

Volumn 41, Issue 21, 2008, Pages

  Kerner, Boris S ^a  

^a DAIMLER AG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 44449092061     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/41/21/215101     Document Type: Article

References (52)

1. May A D 1990 Traffic Flow Fundamentals (Englewood Cliffs, NJ: Prentice-Hall)
2. Leutzbach W 1988 Introduction to the Theory of Traffic Flow (Berlin: Springer)
3. Gartner N H, Messer C J and Rathi A (ed) 1997 Special Report 165: Revised Monograph on Traffic Flow Theory (Washington, DC: Transportation Research Board)
4. Daganzo C F 1997 Fundamentals of Transportation and Traffic Operations (New York: Elsevier)
5. Gazis D C 2002 Traffic Theory (Berlin: Springer)
6. Chowdhury D, Santen L and Schadschneider A 2000 Phys. Rep. 329 199
7. Helbing D 2001 Rev. Mod. Phys. 73 1067-141
8. Nagatani T 2002 Rep. Prog. Phys. 65 1331-86
9. Nagel K, Wagner P and Woesler R 2003 Oper. Res. 51 681-716
10. Mahnke R, Kaupus J and Lubashevsky I 2005 Phys. Rep. 408 1-130
11. Maerivoet S and De Moor B 2005 Phys. Rep. 419 1-64
12. Kerner B S 2004 The Physics of Traffic (Berlin: Springer)
13. Kerner B S, Klenov S L and Hiller A 2006 J. Phys. A: Math. Gen. 39 2001-20
14. Kerner B S, Klenov S L, Hiller A and Rehborn H 2006 Phys. Rev. E 73 046107
15. Kerner B S and Klenov S L 2006 J. Phys. A: Math. Gen. 39 1775-809
16. Kerner B S and Klenov S L 2002 J. Phys. A: Math. Gen. 35 L31-43
17. Kerner B S, Klenov S L and Wolf D E 2002 J. Phys. A: Math. Gen. 35 9971-10013
18. Davis L C 2004 Phys. Rev. E 69 016108
19. Lee H K, Barlović R, Schreckenberg M and Kim D 2004 Phys. Rev. Lett. 92 238702
20. Jiang R and Wu Q-S 2004 J. Phys. A: Math. Gen. 37 8197-213
21. Gao K, Jiang R, Hu S-X, Wang B-H and Wu Q-S 2007 Phys. Rev. E 76
22. Laval J A 2007 Traffic and Granular Flow '05 ed A Schadschneider, T Pöschel, R Kühne, M Schreckenberg and D E Wolf (Berlin: Springer) pp 521-6
23. Davis L C 2006 Phys. A 368 541-50
24. Davis L C 2006 Phys. A 361 606-18
25. Davis L C 2007 Phys. A 379 274-90
26. Jiang R, Hua M-B, Wang R and Wu Q-S 2007 Phys. Lett. A 365 6-9
27. Jiang R and Wu Q S 2005 Phys. Rev. E 72 067103
28. Jiang R and Wu Q S 2007 Phys. A 377 633-40
29. Wang R, Jiang R, Wu Q S and Liu M 2007 Phys. A 378 475-84
30. Pottmeier A, Thiemann C, Schadschneider A and Schreckenberg M 2007 Traffic and Granular Flow' 05 Proc. of the International Workshop on Traffic and Granular Flow ed A Schadschneider, T Pöschel, R Kühne, M Schreckenberg and D E Wolf (Berlin: Springer) pp 503-8
31. Li X G, Gao Z Y, Li K P and Zhao X M 2007 Phys. Rev. E 76 016110
32. Kerner B S and Klenov S L 2003 Phys. Rev. E 68 036130
33. Nagel K and Schreckenberg M 1992 J. Phys. (France) I 2 2221-9
34. Gazis D C, Herman R and Rothery R W 1961 Oper. Res. 9 545-67
35. Barlović R, Santen L, Schadschneider A and Schreckenberg M 1998 Eur. Phys. J. B 5 793-800
36. Krau S, Wagner P and Gawron C 1997 Phys. Rev. E 55 5597-602
37. Gipps P G 1981 Trans. Res. B 15 105-11
38. Kerner B S 1998 Phys. Rev. Lett. 81 3797-400
39. Kerner B S 1998 Proc. 3rd Symposium on Highway Capacity and Level of Service Road Directorate, Ministry of Transport, Denmark vol 2 ed R Rysgaard pp 621-42
40. Kerner B S 1999 Trans. Res. Rec. 1678 160-7
41. Kerner B S and Konhäuser P 1994 Phys. Rev. E 50 54-83
42. Lee H Y, Lee H-W and Kim D 1999 Phys. Rev. E 59 5101-11
43. Tanga C F, Jiang R and Wu Q S 2007 Phys. A 377 641-50
44. Bando M, Hasebe K, Nakayama A, Shibata A and Sugiyama Y 1994 Japan. J. Appl. Math. 11 203-23
45. Bando M, Hasebe K, Nakayama A, Shibata A and Sugiyama Y 1995 Phys. Rev. E 51 1035-42
46. Bando M, Hasebe K, Nakayama A, Shibata A and Sugiyama Y 1995 J. Phys. I (France) 5 1389-99
47. Berg P and Woods A 2001 Phys. Rev. E 64 035602
48. Helbing D, Hennecke A and Treiber M 1999 Phys. Rev. Lett. 82 4360-3
49. Schönhof M and Helbing D 2007 Transp. Sc. 41 135-66
50. Treiber M, Hennecke A and Helbing D 2000 Phys. Rev. E 62 1805-24
51. Kerner B S 1999 Transportation and Traffic Theory ed A Ceder (Amsterdam: Elsevier) pp 147-71
52. Sugiyama Y, Fukui M, Kikuchi M, Hasebe K, Nakayama A, Nishinari K, Tadaki S and Yukawa S 2008 New J. Phys. 10 033001