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 |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematical Physics
Cite this
Multi-value cellular automaton models and metastable states in a congested phase. / Nishinari, Katsuhiro; Takahashi, Daisuke.
In: Journal of Physics A: Mathematical and General, Vol. 33, No. 43, 03.11.2000, p. 7709-7720.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Multi-value cellular automaton models and metastable states in a congested phase
AU - Nishinari, Katsuhiro
AU - Takahashi, Daisuke
PY - 2000/11/3
Y1 - 2000/11/3
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0034601939&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0034601939&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/33/43/304
DO - 10.1088/0305-4470/33/43/304
M3 - Article
AN - SCOPUS:0034601939
VL - 33
SP - 7709
EP - 7720
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 43
ER -