Macroscopic modeling of lane-changing for two-lane traffic flow

Journal of Advanced Transportation

Volumn 43, Issue 3, 2009, Pages 245-273

  Tang, Tie Qiao ^a   Wong, S C ^b   Huang, Hai Jun ^a   Zhang, Peng ^c  

^a BEIHANG UNIVERSITY   (China)

^b UNIVERSITY OF HONG KONG   (Hong Kong)

^c SHANGHAI UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CAR-FOLLOWING BEHAVIOR; FIRST-ORDER; FLOW PHENOMENA; FLOW-DENSITY RELATIONSHIP; LINEAR STABILITY THEORY; LOCAL CLUSTER; MACROSCOPIC MODEL; MACROSCOPIC MODELING; NON EQUILIBRIUM; PROPAGATION SPEED; SECOND ORDERS; SMALL DISTURBANCES; STABLE REGION; STOP-AND-GO WAVES; TRAFFIC DENSITIES; TWO-LANE HIGHWAYS; TWO-LANE TRAFFIC;

BLIND SOURCE SEPARATION; TRAFFIC CONTROL; TRAFFIC SURVEYS;

FLOW RATE;

EID: 66249116993     PISSN: 01976729     EISSN: None     Source Type: Journal    
DOI: 10.1002/atr.5670430302     Document Type: Article

References (61)

1. Ahn, S., 2005. Growth of oscillations in queued traffic. PhD thesis, Department of Civil Engineering, University of California, Berkeley, CA, USA.
2. Cassidy, M. and Bertini, R., 1999. Some traffic features at freeway bottleneck. Transportation Research Part B 33: 25-42.
3. Cassidy, M. and Rudjanakanoknad, J., 2005. Increasing the capacity of an isolated merge by metering its on-ramp. Transportation Research PartB 39: 896-913.
4. Chowdhury, D., Wolf, D. E and Schreckenberg, M., 1997. Particle hopping models for two-lane traffic with two kinds of vehicles: effects of lane-changing rules. Physica A 235: 417-439.
5. Daganzo, C. F., 1995. Requiem for second-order fluid approximations of traffic flow. Transportation Research Part B 29: 277-286.
6. Daganzo, C. F., 1997. A continuum theory of traffic dynamics for freeways with special lanes. Transportation Research Part B 31: 83-102.
7. Daganzo, C. F., 2002a. A behavioral theory of multi-lane traffic low part I: long homogeneous freeway section. Transportation Research Part B36: 131-158.
8. Daganzo, C. F., 2002b. A behavioral theory of multi-lane traffic low part II: merges and the onset of congestion. Transportation Research Part B 36: 159-169.
9. Daganzo, C. F., Lin, W. H. and Del Castillo, J., 1997. A simple physical principle for simulation of freeways with special lanes and priority vehicles. Transportation Research Part B 31: 103-125.
10. Greenberg, J. M., Klar, A. and Rascle, M., 2003. Congestion on multilane highways. SIAM Journal of Applied Mathematics 63: 813-818.
11. Greenshields, B. D., 1935. A study in highway capacity. Highway Research Board Proceedings, 14: 448-477.
12. Gupta, A. K. and Katiyar, V. K., 2007. A new multi-class continuum model for traffic flow. Transportmetrica 3: 73-85.
13. Herrmann, M. and Kerner, B. S., 1998. Local cluster effect in different traffic flow models. Physica A 255: 163-188.
14. Holland, E. N. and Woods, A. W., 1997. A continuum model for the dispersion of traffic on two-lane roads. Transportation Research Part B 31: 473-485.
15. Huang, D. W., 2002. Lane-changing behavior on highways. Physical Review E 66: 026124.
16. Huang, H. J., Tang, T. Q. and Gao, Z. Y., 2006. Continuum modeling for two-lane traffic flow. Acta Mechanic Sinica 22: 132-137.
17. Jiang, R., Wu, Q. S. and Zhu, Z. J., 2001a. A new dynamics model for traffic flow. Chinese Science Bulletin 46: 345-349.
18. Jiang, R., Wu, Q. S. and Zhu, Z. J., 2001b. Full velocity difference model for car-following theory. Physical Review E 64: 017101.
19. Jiang, R., Wu, Q. S. and Zhu, Z. J., 2002a. A new continuum model for traffic flow and numerical tests. Transportation Research Part B 36: 405-419.
20. Jiang, R., Wu, Q. S. and Zhu, Z. J., 2002b. Wave of properties of anisotropic dynamics model for traffic flow. Applied Mathematics and Mechanics 23: 409-414.
21. Jin, W. L., 2006. A kinematic wave theory of lane-changing vehicular traffic. Working paper.
22. Jin, W. L. and Jayakrishnan, R., 2005. First-in-first-out properties of a commodity-based kinematic wave simulation model. TRB 2005 Annual Meeting CD-ROM.
23. Jin, W. L. and Zhang, H. M., 2003a. The inhomogeneous kinematic wave traffic flow model as a resonant nonlinear system. Transportation Science 37: 294-311.
24. Jin, W. L. and Zhang, H. M., 2003b. An instantaneous kinematic wave theory of diverging traffic. Working paper.
25. Jin, W. L. and Zhang, H. M., 2003c. On the distribution schemes for determining flows through a merge. Transportation Research Part B 37: 521-540.
26. Jin, W. L. and Zhang, H. M., 2004. A multicommodity kinematic wave simulation model of network traffic flow. TRB 2004 Annual Meeting CD-ROM.
27. Kerner, B. S. and Konhäuser, P., 1993. Cluster effect in initially homogeneous traffic flow. Physical Review E 48: R2335-R2338.
28. Kurata, S. and Nagatani, T., 2003. Spatio-temporal dynamics of jams in two-lane traffic flow with a blockage. Physica A 318: 537-550.
29. Lan, L. W. and Chang C. W, 2005. Inhomogeneous cellular automata modeling for mixed traffic with cars and motorcycles. Journal of Advanced Transportation 39: 323-349.
30. Laval, J. A., 2003. Some properties of a multi-lane extension of the kinematic wave model. TRB 2003 Annual Meeting CD-ROM.
31. Laval, J. A., 2004. Hybrid models of traffic flow: impacts of bounded vehicle acceleration. PhD thesis, Department of Civil Engineering, University of California, Berkeley, USA.
32. Laval, J. A. and Daganzo, C. F., 2003. A hybrid model of traffic flow: impacts of roadway geometry on capacity. TRB 2003 Annual Meeting CD-ROM.
33. Laval, J. A. and Daganzo, C. F., 2006. Lane-changing in traffic streams. Transportation Research Part B 40: 251-264.
34. Lighthill, M. J. and Whitham, G. B., 1955. On kinematic waves. I Flow movement in long rivers. II A theory of traffic flow on long crowded roads. Proceedings of the Royal Society 229: 281-345.
35. Liu, G. Q., Lyrintiz, A. S. and Michalopoulos, P. G., 1998. Improved high-order model for freeway traffic flow. Transportation Research Record 1644: 37-46.
36. Mauch, M. and Cassidy, M. J., 2002. Freeway traffic oscillations: observations and predictions. In: Taylor, M. A. P. (Ed.), 15th International Symposium on Transportation and Traffic Theory. Pergamon-Elsevier, Oxford, UK, pp. 653-674.
37. Michalopoulos, P. G., Beskos, D. E. and Yamauchi, Y., 1984. Multilane traffic dynamics: some macroscopic considerations. Transportation Research Part B 18: 377-395.
38. Munjal, P. K. and Pipe, L. A., 1971. Propagation of on-ramp density perturbations on unidirectional two- and three-lane freeways. Transportation Research Part B 5: 241-255.
39. Munjal, P. K., Hsu, Y. and Lawrence, R. L. 1971. Analysis and validation of lane-drop effects on multi-lane freeways. Transportation Research Part B 5: 256-266.
40. Nagai, R., Nagatani, T. and Taniguchi, N., 2005. Traffic states and jamming transitions induced by a bus in two-lane traffic flow. Physica A 350: 548-562.
41. Nagatani, T., 1999. Jamming transitions and the modified Korteweg-de Vries equation in two-lane traffic flow. Physica A 265: 297-310.
42. Nagel, K., Wolf, D. E., Wagner, P. and Simon, P., 1998. Two-lane traffic rules for cellular automata: a systematic approach. Physical Review E 58: 1425-1437.
43. Ngoduy D., 2006. Derivation of continuum traffic model for weaving sections on freeways. Transportmetrica 2: 199-222.
44. Ngoduy D., 2008. Operational effects of acceleration lane on main traffic flow at discontinuities. Transportmetrica 4: 195-207.
45. Richards, P. I., 1956. Shockwaves on the highway. Operations Research 4:42-51.
46. Tang T. Q. and Huang, H. J., 2004. Continuum models for freeways with two lanes and numerical tests. Chinese Science Bulletin 49: 2097-2104.
47. Tang, T. Q. and Huang, H. J., 2005. Wave properties of a traffic flow model for freeways with two lanes. Journal of Beijing University of Aeronautics and Astronautics 31: 1121-1124 (in Chinese).
48. Tang T. Q., Huang, H. J. and Gao, Z. Y., 2005. Stability of the car-following model on two lanes. Physical Review E 72: 066124.
49. Tang, T. Q., Huang, H. J., Wong, S. C. and Jiang, R., 2007a. Lane-changing analysis for two-lane traffic flow. Acta Mechanics Sinica, 23: 49-54.
50. Tang, T. Q., Huang, H. J., Xu, X. Y. and Xue, Y., 2007b. Analysis of density wave in two-lane traffic. Chinese Physics Letters, 24: 1410-1413.
51. Tang, T. Q., Huang, H. J., Wong, S. C. and Xu, X. Y., 2007c. A new overtaking model and numerical tests. Physica A, 376: 649-676.
52. Tang, T. Q., Huang, H. J. and Xue, Y., 2006. An improve two-lane traffic flow lattice model. Acta Physics Sinica 55: 4026-4031 (in Chinese).
53. Webster, N. A., Suzuki, T. and Kuwahara, M., 2008 Tactical lane change model with sequential maneuver planning. Transportmetrica 4: 63-78.
54. Wei, C. H., Meyer, E., Lee, J. and Feng, C., 2000. Characterizing and modeling observed lane-changing behavior: lane-vehicle-based microscopic simulation on urban street network. Transportation Research Record 1710: 104-113.
55. Wong, G. C. K. and Wong, S. C., 2002. A multi-class traffic flow model - an extension of LWR model with heterogeneous drivers. Transportation Research Part A 36: 827-841.
56. Zhang, M., Shu, C. W., Wong, G. C. K. and Wong, S. C. 2003. A weighted essentially non-oscillatory numerical scheme for a multi-class Lighthill-Whitham-Richards traffic flow model. Journal of Computational Physics 191: 639-659.
57. Zhang, P. and Wong, S. C., 2006. Essence of conservation forms in the traveling wave solutions of higher-order traffic flow models. Physical Review E 74: 026109.
58. Zhang, P., Liu, R. X. and Wong, S. C., 2005. High-resolution numerical approximation of traffic flow problems with variable lanes and free-flow velocity. Physical Review E 71: 056704.
59. Zhang, P., Liu, R. X., Wong, S. C and Dai, S. Q., 2006a. Hyperbolicity and kinematic waves of a class of multi-population partial differential equations. European Journal of Applied Mathematics 17: 171-200.
60. Zhang, P., Wong, S. C. and Dai, S. Q., 2006b. Characteristic parameters of a wide cluster in a higher-order traffic flow model. Chinese Physics Letters 23:516-519.
61. Zhang, P., Wong, S. C. and Shu, C. W. 2006c. A weighted essentially non-oscillatory numerical scheme for a multi-class traffic flow model on an inhomogeneous highway. Journal of Computational Physics 212: 739-756.