Multi-value cellular automaton models and metastable states in a congested phase

Katsuhiro Nishinari, Daisuke Takahashi

Research output: Contribution to journalArticle

71 Citations (Scopus)

Abstract

In this paper, a family of multi-value cellular automaton (CA) associated with traffic flow is presented. The family is obtained by extending the rule-184 CA, which is an ultradiscrete analogue to the Burgers equation. CA models in the family show both metastable states and stop-and-go waves, which are often observed in real traffic flow. Metastable states in the models exist not only on a prominent part of a free phase but also in a congested phase.

Original languageEnglish
Pages (from-to)7709-7720
Number of pages12
JournalJournal of Physics A: Mathematical and General
Volume33
Issue number43
DOIs
Publication statusPublished - 2000 Nov 3

ASJC Scopus subject areas

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

Fingerprint Dive into the research topics of 'Multi-value cellular automaton models and metastable states in a congested phase'. Together they form a unique fingerprint.

  • Cite this