2000/02/08 by Katsuhiro Nishinari, Nishinari, Katsuhiro, Daisuke Takahashi +1
Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #FOS: Physical sciences #nlin.AO
paper · pdf · doi:10.48550/arxiv.nlin/0002007
LaTeX 12 pages and 13 Postscript figures, submitted to Phys. Rev. E
arxiv created 2000/02/08 · arxiv updated 2009/11/30
A family of multi-value cellular automaton (CA) associated with traffic flow is presented in this paper. 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.