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періодичних видань НАН України
періодичних видань НАН України
A CA Hybrid of the Slow-to-Start and the Optimal Velocity Models and its Flow-Density Relation
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11
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| dc.contributor.author | Ujino, H. | |
| dc.contributor.author | Yajima, T. | |
| dc.date.accessioned | 2019-02-13T17:20:33Z | |
| dc.date.available | 2019-02-13T17:20:33Z | |
| dc.date.issued | 2015 | |
| dc.identifier.citation | 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. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 39A10; 39A06 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2015.065 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/147136 | |
| dc.description.abstract | 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. | uk_UA |
| dc.description.sponsorship | 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. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | A CA Hybrid of the Slow-to-Start and the Optimal Velocity Models and its Flow-Density Relation | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
