Multi-value cellular automaton models and metastable states in a congested phase
Katsuhiro NishinariDepartment of Applied Mathematics and Informatics, Ryukoku University, Seta, Ohtsu 520-2194, JapanDaisuke TakahashiDepartment of Mathematical Sciences, Waseda University, Ohkubo 3-4-1, Shinjuku-ku, Tokyo 169-8555, Japan
2000en
ABI
Аннотация
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.
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