@article{52fd5234766a43ac9ca90397efd276e1,
title = "Cellular automaton traffic flow model between the Fukui-Ishibashi and Nagel-Schreckenberg models",
abstract = "We propose and study a one-dimensional traffic flow cellular automaton model of high-speed vehicles with the Fukui-Ishibashi-type acceleration for all cars, and the Nagel-Schreckenberg-type (NS) stochastic delay only for cars following the trail of the car ahead. The main difference in the delay scenario between our model and the NS model is that a car with spacing ahead longer than the velocity limit M may not be delayed in our model. By using a car-oriented mean-field theory, we analytically derive fundamental diagrams of the average speed as a function of the car density. Our theoretical results are in excellent agreement with numerical simulations.",
author = "Lei Wang and Wang, \{Bing Hong\} and Bambi Hu",
note = "This work was supported in part by the Hong Kong Research Grants Council (RGC) and the Hong Kong Baptist University Faculty Research Grant (FRG). B.H.W. acknowledges support from a Special Fund for a Major National Basic Research Project (Project 973) in China, the National Basic Research Climbing-Up Project {\textquoteleft}{\textquoteleft}Nonlinear Science,{\textquoteright}{\textquoteright}and the National Natural Science Foundation in China under Key Project Grant No. 19932020 and Project Grant Nos.19974039 and 59876039. In CUHK, B.H.W. was supported by RGC Grant No. CUHK 4191/97P. We thank Dr. P. M.Hui for useful discussions and a critical reading of the manuscript. Publisher copyright: {\textcopyright} 2001 American Physical Society",
year = "2001",
month = may,
doi = "10.1103/PhysRevE.63.056117",
language = "English",
volume = "63",
journal = "Physical Review E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "5",
}
