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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| Видавець: | Інститут математики НАН України |
|---|---|
| Дата: | 2015 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2015
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147136 |
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| Цитувати: | 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. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-147136 |
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dspace |
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irk-123456789-1471362019-02-14T01:24:08Z A CA Hybrid of the Slow-to-Start and the Optimal Velocity Models and its Flow-Density Relation Ujino, H. Yajima, T. 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. 2015 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Ujino, H. Yajima, T. |
| spellingShingle |
Ujino, H. Yajima, T. A CA Hybrid of the Slow-to-Start and the Optimal Velocity Models and its Flow-Density Relation Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Ujino, H. Yajima, T. |
| author_sort |
Ujino, H. |
| title |
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_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_sort |
ca hybrid of the slow-to-start and the optimal velocity models and its flow-density relation |
| publisher |
Інститут математики НАН України |
| publishDate |
2015 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147136 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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2023-05-20T17:26:40Z |
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