A new deterministic CA model for traffic flow with multiple states

Katsuhiro Nishinari; Daisuke Takahashi

doi:10.1088/0305-4470/32/1/010

A new deterministic CA model for traffic flow with multiple states

Katsuhiro Nishinari^*, Daisuke Takahashi

^*Corresponding author for this work

School of Fundamental Science and Engineering

Research output: Contribution to journal › Article › peer-review

44 Citations (Scopus)

Abstract

In this paper, an ultra-discrete version of Burger's equation, which includes the rule-184 CA model, is extended to treat a higher velocity. The extended model has multiple states at the transition region of car density from free to congested phase in the fundamental diagram. The state of free phase at high density is unstable under perturbation, and its stability is discussed in detail.

Original language	English
Pages (from-to)	93-104
Number of pages	12
Journal	Journal of Physics A: Mathematical and General
Volume	32
Issue number	1
DOIs	https://doi.org/10.1088/0305-4470/32/1/010
Publication status	Published - 1999 Jan 8

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Physics and Astronomy(all)

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10.1088/0305-4470/32/1/010

Cite this

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A new deterministic CA model for traffic flow with multiple states

Abstract

ASJC Scopus subject areas

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