Fuzzy cellular automata with complete number-conserving rule as traffic-flow models with bottleneck

被引：0

作者：

Nishida, Yuki ^{[1
]}

Watanabe, Sennosuke ^{[2
]}

Fukuda, Akiko ^{[3
]}

Yanagisawa, Daichi ^{[4
]}

机构：

[1] Tokyo Univ Sci, Dept Informat & Comp Technol, 6 3 1 Niijuku Katsushika ku, Tokyo 1258585, Japan

[2] Univ Fukuchiyama, Dept Informat, 3370 Aza Hori, Kyoto 6200886, Japan

[3] Shibaura Inst Technol, Dept Math Sci, 307 Fukasaku Minuma ku, Saitama 3378570, Japan

[4] Univ Tokyo, Res Ctr Adv Sci & Technol, 4 6 1 Komaba Meguro ku, Tokyo 1538904, Japan

来源：

JSIAM LETTERS | 2022年 / 14卷

关键词：

cellular automata; fuzzy cellular automata; TASEP; bottleneck;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Vector-valued fuzzy cellular automata (VFCA) are dynamical systems that are the continuous counterparts of cellular automata (CA). As such, continuous-valued traffic-flow models can be defined as VFCA that conserve the number of particles. In this study, a VFCA-based traffic model with obstacles on the road is presented. The proposed VFCA model exhibits asymp-totic behavior, in the fundamental diagram, similar to a totally asymmetric simple-exclusion process. This observation was also investigated using the mean-field theory by comparing the equations of the two models.

引用

页码：143 / 146

页数：4

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