A CA Hybrid of the Slow-to-Start and the Optimal Velocity Models and its Flow-Density Relation
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-diff...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2015 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2015
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147136 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862695744247431168 |
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| author | Ujino, H. Yajima, T. |
| author_facet | Ujino, H. Yajima, T. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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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| first_indexed | 2025-12-07T16:25:57Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-147136 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T16:25:57Z |
| publishDate | 2015 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Ujino, H. Yajima, T. 2019-02-13T17:20:33Z 2019-02-13T17:20:33Z 2015 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 https://nasplib.isofts.kiev.ua/handle/123456789/147136 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. This paper is a contribution to the Special Issue on Exact Solvability and Symmetry Avatars in honour of
 Luc Vinet. The full collection is available at http://www.emis.de/journals/SIGMA/ESSA2014.html.
 One of the authors (HU) is grateful to K. Oguma for the previous collaboration. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications A CA Hybrid of the Slow-to-Start and the Optimal Velocity Models and its Flow-Density Relation Article published earlier |
| spellingShingle | A CA Hybrid of the Slow-to-Start and the Optimal Velocity Models and its Flow-Density Relation Ujino, H. Yajima, T. |
| title | A CA Hybrid of the Slow-to-Start and the Optimal Velocity Models and its Flow-Density Relation |
| title_full | A CA Hybrid of the Slow-to-Start and the Optimal Velocity Models and its Flow-Density Relation |
| title_fullStr | A CA Hybrid of the Slow-to-Start and the Optimal Velocity Models and its Flow-Density Relation |
| title_full_unstemmed | A CA Hybrid of the Slow-to-Start and the Optimal Velocity Models and its Flow-Density Relation |
| title_short | A CA Hybrid of the Slow-to-Start and the Optimal Velocity Models and its Flow-Density Relation |
| title_sort | ca hybrid of the slow-to-start and the optimal velocity models and its flow-density relation |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147136 |
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