A continuum traffic flow model with the consideration of coupling effect for two-lane freeways

Acta Mechanica Sinica/Lixue Xuebao

Volumn 27, Issue 2, 2011, Pages 228-236

  Sun, Di Hua ^a   Peng, Guang Han ^a   Fu, Li Ping ^b   Heng Pan, H ^a  

^a CHONGQING UNIVERSITY   (China)

^b UNIVERSITY OF WATERLOO   (Canada)

Author keywords

Coupling effect; Numerical simulation; Phase transition; Two delay time scales model; Two lane traffic

Indexed keywords

A-STABILITY; CONTINUUM MODEL; COUPLING EFFECT; HIGHER ORDER; LANE CHANGING; LINEAR STABILITY; LOCAL CLUSTERING; NUMERICAL EXPERIMENTS; RAREFACTION WAVES; REAL TRAFFIC; SIMULATION RESULT; TRAFFIC FLOW MODELS; TWO DELAY TIME SCALES MODEL; TWO-LANE; TWO-LANE TRAFFIC;

CONTINUUM MECHANICS; PHASE TRANSITIONS; TRAFFIC CONTROL;

COMPUTER SIMULATION;

EID: 79958130393     PISSN: 05677718     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10409-011-0419-y     Document Type: Article

References (31)

1. M.J. Lighthill G.B. Whitham 1955 On kinematic waves: A theory of traffic flow on long crowded roads Proc. R. Soc. London-Ser. A. 229 317 345 72606 0064.20906 10.1098/rspa.1955.0089
2. P.I. Richards 1956 Shock waves on the highway Operations Research. 4 42 51 75522 10.1287/opre.4.1.42
3. H.J. Payne 1971 Models of Freeway Traffic and Control Mathematical Methods of Public Systems. 1 51 60
4. G. Newell 1961 Nonlinear effects in the dynamics of car following Operations Research. 9 209 229 129014 0211.52301 10.1287/opre.9.2.209
5. C.F. Daganzo 1995 Requiem for second-order fluid approximation of traffic flow Transportation Rcsearch-B. 29 277 286 10.1016/0191-2615(95)00007-Z (Pubitemid 26431358)
6. Del Castillo, J.M., Pintado, P., Benitez, F.G.: A formulation of reaction time of traffic flow models. In: Daganzo, C.F. ed. Transportation and Traffic Theory. Elsevier, Amsterdam. 387-405 (1993)
7. Kihne, R.D.: Macroscopic freeway model for dense trafficstopstart waves and incident detection. In: Volmuller J., Hamerslag R., eds. Proceedings of 9th International Symposium on Transportation and Traffic Theory. VNU Science Press, Netherland, 21-42 (1984)
8. P. Ross 1988 Traffic dynamics Transportation Rcsearch-B. 22 421 435 10.1016/0191-2615(88)90023-9
9. M. Papageorgiou J.M. Blosseville H. Hadj-Salem 1989 Macroscopic modeling of traffic flow on the Boulevard Peripherique in Paris Transportation Rcsearch-B. 23 29 47 10.1016/0191-2615(89)90021-0 (Pubitemid 20637176)
10. R. Michaloupolos P. Yi A.S. Lyrintzis 1993 Continuum modeling of traffic dynamics for congested freeways Transportation Rcsearch-B. 27 315 332 10.1016/0191-2615(93)90041-8
11. H.M. Zhang 1998 A theory of nonequilibrium traffic flow Transportation Rcsearch-B. 32 485 498 10.1016/S0191-2615(98)00014-9 (Pubitemid 128407015)
12. R. Jiang Q.S. Wu Z.J. Zhu 2002 A new continuum model for traffic flow and numerical tests Transportation Rcsearch-B. 36 405 419 10.1016/S0191-2615(01) 00010-8 (Pubitemid 34306163)
13. R. Jiang Q.S. Wu Z.J. Zhu 2001 Full velocity difference model for a car-following theory Phys. Rev. E. 64 017101 10.1103/PhysRevE.64.017101
14. R. Jiang Q.S. Wu 2004 Analysis of the structural properties of the solutions to speed gradient traffic flow model Acta Mechanica Sinica. 20 106 112 2056109
15. R. Jiang Q.S. Wu 2003 Study on propagation speed of small disturbance from a car-following approach Transportation Rcsearch-B. 37 85 99 10.1016/S0191-2615(02)00004-8 (Pubitemid 35371964)
16. H.M. Zhang 2003 On the consistency of a class of traffic flow models Transportation Rcsearch-B. 37 101 105 10.1016/S0191-2615(01)00040-6 (Pubitemid 35369163)
17. Y. Xue S.Q. Dai 2003 Continuum traffic model with the consideration of two delay time scales Phys. Rev. E. 68 066123 10.1103/PhysRevE.68.066123
18. C.F. Daganzo 1997 A continuum theory of traffic dynamics for freeways with special lanes Transportation Rcsearch-B. 31 83 102 10.1016/S0191-2615(96) 00017-3 (Pubitemid 127420132)
19. Z. Wu 1994 A fluid dynamics model for low speed traffic system Acta Mechanica Sinica. 26 149 157
20. T.Q. Tang H.J. Huang 2004 Traffic flow model of two lanes and numerical calculation Chinese Science Bulletin. 49 1937 1943
21. T.Q. Tang H.J. Huang 2005 Wave propertie s of a traffic flow model for freeways with two lanes Journal of Beijing University of Aeronautics and Astronautics. 31 1121 1124
22. H.J. Huang T.Q. Tang Z.Y. Gao 2006 Continuum modeling for two-lane traffic flow Acta Mechanica Sinica. 22 131 137 1200.90046 10.1007/s10409-006- 0101-y (Pubitemid 44135854)
23. C.F. Tang R. Jiang Q.S. Wu 2007 Extended speed gradientmodel for traffic flow on two-lane freeways Chinese Physics. 16 1570 1576 10.1088/1009-1963/16/6/ 013 (Pubitemid 46887489)
24. G.Q. Liu 1996 Modelling of freeway merging and diverging flow dynamics Appl. Math. Model. 20 459 469 0869.90024 10.1016/0307-904X(95)00165-G (Pubitemid 126376592)
25. Whitham, G.B.: Linear and nonlinear moves. John Wiley and Sons, Inc, New York (1974)
26. H.M. Zhang 1999 Analyses of the stability and wave properties of a new continuum traffic theory Transportation Rcsearch-B. 33 399 415 10.1016/S0191-2615(98)00044-7
27. J.M. Del Castillo F.G. Benitez 1995 On functional form of the speed-density relationship-I: general theory Transportation Rcsearch-B. 29 373 406 10.1016/0191-2615(95)00008-2
28. P. Wager K. Nagel D.E. Wolf 1997 Realistic mufti-lane traffic rules for cellular automata Physica A. 234 687 698 10.1016/S0378-4371(96)00308-1 (Pubitemid 127414063)
29. W. Knospe L. Santen A. Schadschneider, et al. 2002 A realistic two-lane traffic model for highway traffic J. Phys. A. 35 3369 3388 1907367 0996.90028 10.1088/0305-4470/35/15/302 (Pubitemid 37023909)
30. M. Herrmann B.S. Kerner 1998 Local cluster effect in different traffic flow models Physica A. 255 163 188 10.1016/S0378-4371(98)00102-2 (Pubitemid 128407928)
31. B.S. Kerner P. Konhäuser 1993 Cluster efect in initially homogeneous traffic flow Phys. Rev. E. 48 R2335 2338 10.1103/PhysRevE.48.R2335