Discontinuous transition from free flow to synchronized flow induced by short-range interaction between vehicles in a three-phase traffic flow model

Physica A: Statistical Mechanics and its Applications

Volumn 388, Issue 15-16, 2009, Pages 3233-3243

  Gao, Kun ^a   Jiang, Rui ^a   Wang, Bing Hong ^a   Wu, Qing Song ^a  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

Breakdown phenomenon; Fundamental diagram; Synchronized flow; Three phase traffic flow

Indexed keywords

FLOW PATTERNS; SYNCHRONIZATION; VEHICLES;

BREAKDOWN PHENOMENA; CELLULAR AUTOMATON MODELS; FUNDAMENTAL DIAGRAM; OPTIMAL VELOCITY FUNCTIONS; SHORT RANGE INTERACTIONS; SYNCHRONIZED FLOW; THREE-PHASE TRAFFIC THEORIES; TRAFFIC FLOW;

TRAFFIC CONTROL;

EID: 65649123425     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2009.04.033     Document Type: Article

References (64)

1. Helbing D. Traffic and related self-driven many particle systems. Rev. Modern Phys. 73 (2001) 1067-1141
2. Chowdhury D., Santen L., and Schadschneider A. Statistical physics of vehicular traffic and some related systems. Phys. Rep. 329 (2000) 199-329
3. Nagatani T. The physics of traffic jams. Rep. Prog. Phys. 65 (2002) 1331-1386
4. Schadschneider A. In: Schreckenberg M., and Wolf D. (Eds). Traffic and Granular Flow 97 (1998), Springer, Singapore
5. Hall F.L., Allen B.L., and Gunter M.A. Empirical analysis of freeway flow-density relationships. Transp. Res. A 20 (2002) 197-210
6. Mahnke R., Kaupuzs J., and Lubanshevsky I. Probabilistic description of traffic flow. Phys. Rep. 408 (2005) 1-130
7. Lee H.Y., Lee H., and Kim D. Phase diagram of congested traffic flow: An empirical study. Phys. Rev. E 62 (2000) 4737-4741
8. Treiber M., Hennecke A., and Helbing D. Congested traffic states in empirical observations and microscopic simulations. Phys. Rev. E 62 (2000) 1805-1824
9. Schoenhof M., and Helbing D. Empirical features of congested traffic states and their implications for traffic modeling. Transp. Sci. 41 (2007) 135-166
10. Nagel K., Wolf D.E., Wagner P., and Simon P. Two-lane traffic rules for cellular automata: A systematic approach. Phys. Rev. E 58 (1998) 1425-1437
11. Richards P.I. Shock waves on the highway. Oper. Res. 4 (1956) 42-51
12. Payne H.J. Freflo: A macroscopic simulation model for freeway traffic. Transp. Res. Rec. 722 (1979) 68-77
13. Daganzo C.F. Requiem for second-order fluid approximation of traffic flow. Transp. Res. B 29 (1995) 277-286
14. Lighthill M.J., and Whitham G.B. On kinematic waves: Ii. a theory of traffic flow on long crowed roads. Proc. Roy. Soc. Ser. A 229 (1955) 317-345
15. Richards P.I. Shock waves on the highway. Oper. Res. 4 (1956) 42-51
16. Payne H.J. Models of freeway traffic and control. In: Bekey G.A. (Ed). Mathematical Models of Public Systems vol. 1 (1971), Simulation Council, La Jolla 51-61
17. Payne H.J. Freflo: A macroscopic simulation model for freeway traffic. Transp. Res. Rec. 722 (1979) 68-77
18. Daganzo C.F. Requiem for second-order fluid approximation of traffic flow. Transp. Res. B 29 (1995) 277-286
19. Jiang R., Wu Q.S., and Zhu Z.J. A new continuum model for traffic flow and numerical tests. Transp. Res. B 36 (2002) 405-419
20. Jiang R., Wu Q.S., and Zhu Z.J. A new dynamics model for traffic flow. Chin. Sci. Bull. 46 (2001) 345-349
21. Prigogine I., and Herman R. Kinetic Theory of Vehicular Traffic (1971), American Elsevier, New York
22. Paveri-Fontana S.L. On Boltzmann-like treatments for traffic flow. A critical review of the basic model and an alternative proposal for dilute traffic analysis. Tranp. Res. 9 (1975) 225-235
23. Helbing D. Derivation and empirical validation of a refined traffic flow model. Physica A 233 (1996) 253-282
24. Treiber M., Hennecke A., and Helbing D. Derivation, properties, and simulation of a gas-kinetic based, nonlocal traffic model. Phys. Rev. E 59 (1999) 239-253
25. Reuschel A. Oesterreichisches Ingenieur-Archir 4 (1950) 193-215
26. Pipes L.A. J. Appl. Phys. 24 (1953) 274-287
27. Cremer M., and Ludwig J. A fast simulation model for traffic flow on the basis of boolean operations. J. Math. Comput. Simul. 28 (1986) 297-303
28. Wolfram S. Statistical mechanics of cellular automata. Rev. Modern Phys. 55 (1983) 601-644
29. Biham O., Middleton A.A., and Levine D.A. Self-organization and a dynamical transition in traffic flow models. Phys. Rev. A 46 (1992) R6124-R6127
30. Nagel K., and Schreckenberg M. J. Physique I 2 (1992) 2221
31. Helbing D. Rev. Modern Phys. 73 (2001) 1067-1141
32. Kerner B.S. The Physics of Traffic (2004), Springer, Berlin, New York
33. Kerner B.S. Transp. Res. Rec. 1678 (1999) 160-167
34. Kerner B.S., Rehborn H., Aleksic M., and Haug A. Transp. Res. C 12 (2004) 369-400
35. Kerner B.S., Rehborn H., Haug A., and Maiwald-Hiller I. Traffic Eng. Control 46 10 (2005) 380-385
36. Kerner B.S., Klenov S.L., Hiller A., and Rehborn H. Phys. Rev. E 73 (2006) 046107
37. Kerner B.S., Klenov S.L., and Hiller A. J. Phys. A: Math. Gen. 39 (2006) 2001-2020
38. Kerner B.S., and Rehborn H. Phys. Rev. Lett. 79 (1997) 4030
39. Kerner B.S., and Rehborn H. Phys. Rev. E 53 (1996) R1297
40. Kerner B.S., and Rehborn H. Phys. Rev. E 53 (1996) R4275
41. Kerner B.S., Klenov S.L., and Wolf D.E. J. Phys. A 35 (2002) 9971
42. Kerner B.S., and Klenov S.L. J. Phys. A 39 (2006) 1775
43. Kerner B.S., and Klenov S.L. Phys. Rev. E 68 (2003) 036130
44. Kerner B.S. Phys. Rev. Lett. 81 (1998) 3797
45. Kerner B.S. Phys. Rev. E 65 (2002) 046138
46. Nishinari K., Treiber M., and Helbing D. Phys. Rev. E 68 (2003) 067101
47. Helbing D., Batic D., Schoenhof M., and Treiber M. Physica A 303 (2002) 251-260
48. Treiber M., and Helbing D. J. Phys. A 32 (1999) L17-L23
49. Helbing D., Hennecke A., and Treiber M. Phys. Rev. Lett. 82 (1999) 4360
50. Lee H.Y., Lee H.W., and Kim D. Phys. Rev. Lett. 81 (1998) 1130
51. Lee H.Y., Lee H.W., and Kim D. Phys. Rev. E 59 (1999) 5101
52. Knospe W., Santen L., Schadschneider A., and Schreckenberg M. Phys. Rev. E 65 (2002) 056133
53. Kerner B.S. Physica A 333 (2004) 379
54. Kerner B.S., and Klenov S.L. J. Phys. A 35 (2002) L31
55. Lee H.K., Barlovic R., Schreckenberg M., and Kim D. Phys. Rev. Lett. 92 (2004) 238702
56. Jiang R., and Wu Q.S. J. Phys. A 36 (2003) 381
57. Jiang R., and Wu Q.S. European Phys. J. B 46 (2005) 581
58. S.X. Hu, K. Gao, B.H. Wang, Y.F. Lu, C.J. Fu, Physica A 386, 397-406
59. Gao K., Jiang R., Hu S.X., Wang B.H., and Wu Q.S. Phys. Rev. E 76 (2007) 026105
60. Barlovic R., Santen L., Schadschneider A., and Schreckenberg M. Eur.Phys.J.B 5 (1998) 793
61. Neubert L., Santen L., Schadschneider A., and Schreckenberg M. Phys. Rev. E 60 (1999) 6480
62. Knospe W., Santen L., Schadschneider A., and Schreckenberg M. Phys. Rev. E 70 (2004) 016115
63. Tilch B., and Helbing D. In: Helbing D., Herrmann H.J., Schreckenberg M., and Wolf D.E. (Eds). Traffic and Granular Flow '99 (2000), Springer, Berlin
64. Y.M. Yuan, R. Jiang, Q.S. Wu, Characteristics analysis and empirical test of three cellular automaton models for synchronized flow, 2006