TY - JOUR
T1 - The asymptotic steady states of deterministic one-dimensional traffic flow models
AU - Wang, Bing Hong
AU - Wang, Lei
AU - Hui, Pak Ming
AU - Hu, Bambi
N1 - BHW acknowledges the support from the Chinese National Basic Research Climbing-Up Project “Nonlinear Science”, and the National Natural Science Foundation in China under Grant Nos. 49474216 and 59876039. PMH and BHW acknowledge the support from the Research Grant Council (RGC) of the Hong Kong SAR Government through the grant CUHK P. The work of BH and BHW was also supported in part by grants from the Hong Kong Research Grants Council (RGC) and the Hong Kong Baptist University Faculty Research Grants (FRG). The authors would also like to thank Dr. L.H. Tang and members of the Center for Nonlinear Studies at HKBU for stimulating discussions.
Publisher copyright:
© 2000 Elsevier Science B.V. All rights reserved.
PY - 2000/4
Y1 - 2000/4
N2 - The asymptotic steady state of deterministic Nagel-Schreckenberg (NS) traffic flow cellular automaton (CA) model for high-velocity cars (vmax = M>1) is studied. It is shown that the fundamental diagram, i.e., the relationship between the average car velocity and the car density, of the NS model in which the velocity of a car may increase by at most one unit per time step is exactly the same as that of the Fukui-Ishibashi (FI) traffic flow CA model in which a car may increase its velocity abruptly from zero to M or the maximum velocity allowed by the empty spacings ahead in one time step. This implies that for both gradual and abrupt accelerations, the self-organization of cars gives the same asymptotic behavior in one-dimensional traffic flow models.
AB - The asymptotic steady state of deterministic Nagel-Schreckenberg (NS) traffic flow cellular automaton (CA) model for high-velocity cars (vmax = M>1) is studied. It is shown that the fundamental diagram, i.e., the relationship between the average car velocity and the car density, of the NS model in which the velocity of a car may increase by at most one unit per time step is exactly the same as that of the Fukui-Ishibashi (FI) traffic flow CA model in which a car may increase its velocity abruptly from zero to M or the maximum velocity allowed by the empty spacings ahead in one time step. This implies that for both gradual and abrupt accelerations, the self-organization of cars gives the same asymptotic behavior in one-dimensional traffic flow models.
UR - http://www.scopus.com/inward/record.url?scp=0033891541&partnerID=8YFLogxK
U2 - 10.1016/S0921-4526(99)00753-X
DO - 10.1016/S0921-4526(99)00753-X
M3 - Conference article
AN - SCOPUS:0033891541
SN - 0921-4526
VL - 279
SP - 237
EP - 239
JO - Physica B: Condensed Matter
JF - Physica B: Condensed Matter
IS - 1-3
T2 - The 5th International Conference on Electrical Transport and Optical Properties of Inhomogeneous Media (ETOPIM5)
Y2 - 21 June 1999 through 25 June 1999
ER -
