A new compressible fluid model for traffic flow with density-dependent reaction time of drivers-Reference-Cited by-同舟云学术

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A new compressible fluid model for traffic flow with density-dependent reaction time of drivers

Published:2009 Issue:0 Volume:1 Page:72-75
ISSN:1883-0609
Container-title:JSIAM Letters
language:en
Short-container-title:JSIAM Letters

Author:

Tomoeda Akiyasu¹²,Shamoto Daisuke³,Nishi Ryosuke³,Ohtsuka Kazumichi²,Nishinari Katsuhiro²⁴

Affiliation:

1. Meiji Institute for Advanced Study of Mathematical Sciences, Meiji University

2. Research Center for Advanced Science and Technology, The University of Tokyo

3. Department of Aeronautics and Astronautics, School of Engineering, The University of Tokyo

4. PRESTO, JST

Publisher

The Japan Society for Industrial and Applied Mathematics

Link

https://www.jstage.jst.go.jp/article/jsiaml/1/0/1_0_72/_pdf

Reference13 articles.

1. [1] D. Chowdhury, L. Santen and A. Schadschneider, Statistical physics of vehicular traffic and some related systems, Phys. Rep., 329 (2000), 199-329.

2. [2] G. F. Newell, Nonlinear effects in the dynamics of car following, Oper. Res., 9 (1961), 209-229.

3. [3] M. Bando, K. Hasebe, A. Nakayama, A. Shibata and Y. Sugiyama, Dynamical model of traffic congestion and numerical simulation, Phys. Rev. E, 51 (1995), 1035-1042.

4. [4] K. Nishinari and D. Takahashi, Analytical properties of ultradiscrete Burgers equation and rule-184 cellular automaton, J. Phys. A: Math. Gen., 31 (1998), 5439-5450.

5. [5] M.Kanai, K.Nishinari and T.Tokihiro, Stochastic optimal velocity model and its long-lived metastability, Phys. Rev. E, 72 (2005), 035102.

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Totally asymmetric simple exclusion process with a time-dependent boundary: Interaction between vehicles and pedestrians at intersections;Physical Review E;2014-04-24

2. Propagation speed of a starting wave in a queue of pedestrians;Physical Review E;2012-09-19

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