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 language | English |
|---|---|
| Pages (from-to) | 7709-7720 |
| Number of pages | 12 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 33 |
| Issue number | 43 |
| DOIs | |
| Publication status | Published - 2000 Nov 3 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)