A hybrid of the optimal velocity and the slow-to-start models and its ultradiscretization

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概要

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• Through an extension of an ultradiscrete optimal velocity (OV) model, we introduce an ultradiscretizable traffic flow model, which is a hybrid of the OV and the slow-to-start (s2s) models. Its ultradiscrete limit gives a generalization of a special case of the ultradiscrete OV (uOV) model recently proposed by Takahashi and Matsukidaira. A phase transition from free to jam phases as well as the existence of multiple metastable states are observed in numerically obtained fundamental diagrams for cellular automata (CA), which are special cases of the ultradiscrete limit of the hybrid model.

著者

• Ujino Hideaki

  Gunma College Of Technology

• Oguma Kazuhito

  Department of Mathematical Engineering and Information Physics, Faculty of Engineering, The University of Tokyo

関連論文

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