Multi-value cellular automaton models and metastable states in a congestedphase

Authors
Nishinari, K Takahashi, D
Citation
K. Nishinari et D. Takahashi, Multi-value cellular automaton models and metastable states in a congestedphase, J PHYS A, 33(43), 2000, pp. 7709-7720
Citations number
13
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
33
Issue
43
Year of publication
2000
Pages
7709 - 7720
Database
ISI
SICI code
0305-4470(20001103)33:43<7709:MCAMAM>2.0.ZU;2-B
Abstract
In this paper, a family of multi-value cellular automaton (CA) associated w ith traffic howls presented. The family is obtained by extending the rule-1 84 CA, which is an ultradiscrete analogue to the Burgers equation. CA model s in the family show both metastable states and stop-and-go waves, which ar e often observed in real traffic flow. Metastable states in the models exis t not only on a prominent part of a free phase but also in a congested phas e.