The asymptotic steady states of deterministic one-dimensional traffic flow models

Bing Hong Wang; Lei Wang; Pak Ming Hui; Bambi Hu

doi:10.1016/S0921-4526(99)00753-X

The asymptotic steady states of deterministic one-dimensional traffic flow models

Bing Hong Wang^*
, Lei Wang
, Pak Ming Hui
, Bambi Hu

^*Corresponding author for this work

Research output: Contribution to journal › Conference article › peer-review

17 Citations (Scopus)

Abstract

The asymptotic steady state of deterministic Nagel-Schreckenberg (NS) traffic flow cellular automaton (CA) model for high-velocity cars (v_max = 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.

Original language	English
Pages (from-to)	237-239
Number of pages	3
Journal	Physica B: Condensed Matter
Volume	279
Issue number	1-3
DOIs	https://doi.org/10.1016/S0921-4526(99)00753-X
Publication status	Published - Apr 2000
Event	The 5th International Conference on Electrical Transport and Optical Properties of Inhomogeneous Media (ETOPIM5) - Kowloon Tong, Hong Kong Duration: 21 Jun 1999 → 25 Jun 1999

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10.1016/S0921-4526(99)00753-X

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title = "The asymptotic steady states of deterministic one-dimensional traffic flow models",

abstract = "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.",

author = "Wang, \{Bing Hong\} and Lei Wang and Hui, \{Pak Ming\} and Bambi Hu",

note = "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: {\textcopyright} 2000 Elsevier Science B.V. All rights reserved.; The 5th International Conference on Electrical Transport and Optical Properties of Inhomogeneous Media (ETOPIM5) ; Conference date: 21-06-1999 Through 25-06-1999",

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doi = "10.1016/S0921-4526(99)00753-X",

language = "English",

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pages = "237--239",

journal = "Physica B: Condensed Matter",

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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 - https://www.scopus.com/pages/publications/0033891541

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 -

The asymptotic steady states of deterministic one-dimensional traffic flow models

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