A CA Hybrid of the Slow-to-Start and the Optimal Velocity Models and its Flow-Density Relation
Vernadsky National Library of Ukraine
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Title |
A CA Hybrid of the Slow-to-Start and the Optimal Velocity Models and its Flow-Density Relation
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Creator |
Ujino, H.
Yajima, T. |
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Description |
The s2s-OVCA is a cellular automaton (CA) hybrid of the optimal velocity (OV) model and the slow-to-start (s2s) model, which is introduced in the framework of the ultradiscretization method. Inverse ultradiscretization as well as the time continuous limit, which lead the s2s-OVCA to an integral-differential equation, are presented. Several traffic phases such as a free flow as well as slow flows corresponding to multiple metastable states are observed in the flow-density relations of the s2s-OVCA. Based on the properties of the stationary flow of the s2s-OVCA, the formulas for the flow-density relations are derived.
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Date |
2019-02-13T17:20:33Z
2019-02-13T17:20:33Z 2015 |
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Type |
Article
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Identifier |
A CA Hybrid of the Slow-to-Start and the Optimal Velocity Models and its Flow-Density Relation / H. Ujino, T. Yajima // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 16 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 39A10; 39A06 DOI:10.3842/SIGMA.2015.065 http://dspace.nbuv.gov.ua/handle/123456789/147136 |
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Language |
en
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Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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Publisher |
Інститут математики НАН України
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