Abstract.
This paper studies a new model, which considers the effects of drivers reaction delay in the Nagel-Schreckenberg model. We studied the traffic flow properties in the new model under both periodic and open boundary conditions. The fundamental diagram, spatio-temporal patterns, density-density correlation functions, relaxation time, and distance headway distribution are investigated. Several interesting results are reported, for example, (i) the jam becomes less condensed when the delay effect is considered; (ii) the distance headway of the new model exhibits a multi-peak distribution when randomization p is small; (iii) for large p, the distribution of distance headway follows a power law in the new model; (iv) under open boundary conditions, the existence of a stationary jam near the left boundary will lower the flow rate.
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References
Traffic and Granular Flow '99, edited by D. Helbing, H.J. Herrmann, M. Schreckenberg, D.E. Wolf (Springer, Berlin, 2000); Traffic and Granular Flow '01, edited by M. Fukui, Y. Sugiyama, M. Schreckenberg, D.E. Wolf (Springer, Heidelberg, 2003); Traffic and Granular Flow '03, edited by S.P. Hoogendoorn, P.H.L. Bovy, M. Schreckenberg, D.E. Wolf (Springer, Heidelberg, 2005); Traffic and Granular Flow '05, edited by R.D. Kühne et al., in press
B.S. Kerner, The Physics of Traffic (Springer, Berlin, New York, 2004)
D. Helbing, Rev. Mod. Phys. 73, 1067 (2001)
D. Chowdhury, L. Santen, A. Schadschneider, Phys. Rep. 329, 199 (2000)
T. Nagatani, Rep. Prog. Phys. 65, 1331 (2002)
R. Herman, K. Gardels, Sci. Am. 209, 35 (1963)
D.C. Gazis, Science 157, 273 (1967)
D.C. Gazis, R. Herman, R.B. Potts, Oper. Res. 7, 499 (1959)
L.A. Pipes, J. Appl. Phys. 24, 274 (1953)
R.E. Chandler, R. Herman, E.W. Montroll, Oper. Res. 6, 165 (1958)
E.N. Holland, Transportation Research Part B: Methodological 32, 141 (1998)
X.Y. Zhang, D.F. Jarrett, Transportation Research Part B: Methodological 31, 441 (1997)
M. Bando, K. Hasebe, A. Nakayama, A. Shibata, Y. Sugiyama, Phys. Rev. E 51, 1035 (1995)
M. Bando, K.Hasebe, K. Nakanishi, A. Nakayama, Phys. Rev. E 58, 5429 (1998); L.C. Davis, Physica A 319, 557 (2003)
H. Ez-Zahraouy, Z. Benrihane, A. Benyoussef, The Effect Of Delay Times On The Optimal Velocity Traffic Flow Behavior, e-print arXvi:cond-mat/0503188
J.M. Del Castillo, P. Pintado, F.G. Benitez, Transportation Research Part B: Methodological 28, 35 (1994)
S. Maerivoet, B.D. Moor, Physics Reports 419, 1 (2005)
K. Nagel, M. Schreckenberg, J. Physique I 2, 2221 (1992)
K. Fourrate, M. Loulidi, Eur. Phys. J. B 49, 239 (2006)
K. Nagel, H.J. Herrmann, Physica A 199, 254 (1993)
K. Nagel, M. Paczuski, Phys. Rev. E 51, 2909 (1995)
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Jiang, R., Hu, M., Jia, B. et al. The effects of reaction delay in the Nagel-Schreckenberg traffic flow model. Eur. Phys. J. B 54, 267–273 (2006). https://doi.org/10.1140/epjb/e2006-00449-5
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DOI: https://doi.org/10.1140/epjb/e2006-00449-5