Tuesday, October 30, 2012

1210.7562 (Hideaki Ujino et al.)

Exact Solutions and Flow--Density Relations for a Cellular Automaton
Variant of the Optimal Velocity Model with the Slow-to-Start Effect
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Hideaki Ujino, Tetsu Yajima
A set of exact solutions for a cellular automaton, which is a hybrid of the optimal velocity and the slow-to-start models, is presented. The solutions allow coexistence of free flows and jamming or slow clusters, which is observed in asymptotic behaviors of numerically obtained spatio-temporal patterns. An exact expression of the flow--density relation given by the exact solutions of the model agrees with an empirical formula for numerically obtained flow--density relations.
View original: http://arxiv.org/abs/1210.7562

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