Comment on "on the controversy around daganzo's requiem for and Aw-Rascle's resurrection of second-order traffic flow models" by D. Helbing and A.F. Johansson : WWWWWhat faster-than-traffic characteristic speeds mean for vehicular traffic flow

European Physical Journal B

Volumn 69, Issue 4, 2009, Pages 563-568

  Zhang, H M ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

SECOND ORDERS; TRAFFIC CHARACTERISTICS; TRAFFIC FLOW MODELS; TRANSPORTATION RESEARCH; VEHICULAR TRAFFIC; VEHICULAR TRAFFIC FLOW;

LINEAR STABILITY ANALYSIS;

TRAFFIC SURVEYS;

EID: 67650266275     PISSN: 14346028     EISSN: 14346036     Source Type: Journal    
DOI: 10.1140/epjb/e2009-00183-6     Document Type: Article

References (41)

1. D. Helbing, A. Johansson, On the Controversy around Daganzo's Requiem for and Aw-Rascle's Resurrection of Second-Order Traffic Flow Models, Eur. Phys. J. (2009) DOI: 10.1140/epjb/e2009-00182-7
2. C. Daganzo, Trans. Res. -B 29, 277 (1995)
3. M. Papageorgiou, Trans. Res. A 32, 323 (1998)
4. J.P. Lebacque, Macroscopic traffic flow models: a question of order, in Proceedings of the 14th Int. Symp. on Transportation and Traffic Theory, edited by A. Cedar (Pergamon, New York, NY, 1999), pp. 147-171
5. D. Heidemann, Trans. Res. B 33, 153 (1999)
6. A. Aw, M. Rascle, SIAM J. Appl. Math. 60, 916 (2000)
7. H.M. Zhang, Networks and Spatial Economics 1, 9 (2001)
8. H.M. Zhang, Trans. Res. B 36, 275 (2002)
9. H.M. Zhang, Trans. Res. B 37, 561 (2003)
10. H.J. Payne, Models of freeway traffic and control, edited by G.A. Bekey, in Mathematical Models of Public Systems, of Simulation Councils Proc. Ser., Vol. 1, pp. 51-60 (1971)
11. G.B. Whitham, Linear and nonlinear waves (John Wiley & Sons, New York, 1974)
12. W.F. Phillips, Transportation Planning and Technology 5, 131 (1979)
13. M.J. Lighthill, G.B. Whitham, Proc. Royal Society A 229, 317 (1955)
14. P.I. Richards, Opt. Res. 4, 42 (1956)
15. P. Ross, Trans. Res. B 22, 421 (1988)
16. R.D. Kuhne, Macroscopic freeway model for dense traffic-stop-start waves and incident detection, in Ninth International Symposium on Transportation and Traffic Theory, pp. 20-42 (1984)
17. R.D. Kuhne, Freeway control and incident detection using a stochastic continuum theory of traffic flow, In Proc. 1st int. conf. on applied advanced technology in transportation engineering (San Diego, CA, 1989), pp. 287-292
18. R. Michalopoulos, P. Yi, A.S. Lyrintzis, Trans. Res. B 27, 315 (1993)
19. B.S. Kerner, P. Konhaüser, Phys. Rev. E 48, 2335 (1993)
20. B.S. Kerner, P. Konhäuser, Phys. Rev. E 50, 54 (1994)
21. del Castillo, J.M. Pintado. F.G. Benitez, Trans. Res. B 28, 35 (1994)
22. H.M. Zhang, Trans. Res. B 37, 101 (2003b)
23. H.M. Zhang, Trans. Res. B 32, 485 (1998)
24. R. Jiang, Q.-S. Wu, Trans. Res. B: Methodological 37, 85 (2003).
25. M. Bando, K. Hasebe, A. Nakayama, A. Shibata, Y. Sugiyama, Phys. Rev. E 51, 1035 (1995)
26. G.F. Newell, Opt. Res. 9, 209 (1961)
27. H.M. Zhang, Trans. Res. B 33, 399 (1999)
28. E.N. Holland, Trans. Res. B 32, 141 (1998)
29. J. Yi, H. Lin, L. Alvarez, R. Horowitz, Trans. Res. B 37, 661 (1999)
30. W.L. Jin, H.M. Zhang, Trans. Res. B: Methodolog. 37, 207 (2003)
31. P.D. Lax, Hyperbolic systems of conservations laws and the mathematical theory of shock waves (Society for Industrial and Applied Mathematics, Philadelphhia, Pennsylvania, 1972)
32. R. LeVeque, Numerical methods for conservation laws (Birkhäuser, Verlag, 1992)
33. J. Smoller, Shock Waves and Reaction-Diffusion Equations, 2nd edn. (Springer-Verlag, New York, 1994)
34. H.M. Zhang, Trans. Res. B 34, 583 (2000)
35. T. Li, H.M. Zhang, Networks and Spatial Economics 1, 167 (2001)
36. G.E.P. Box, N.R. Draper, Empirical Model-Building and Response Surfaces (Wiley, ISBN 0471810339, 1987), p. 424
37. A. Klar, R. Wegener, SIAM J. Appl. Math. 60, 1749 (2000)
38. J.M. Greenberg, SIAM J. Appl. Math. 62, 729 (2001)
39. M. Garavello, B. Piccoli, Communications in Partial Differential Equations 31, 243 (2006)
40. J.-P. Lebacque, S. Mammar, H. Haj-Salem, Trans. Res. B 41, 710 (2007)
41. Z.-H. Ou, S.-Q. Dai, P. Zhang, L.-Y. Dong, SIAM J. Appl. Math. 67, 605 (2007)