A CA Hybrid of the Slow-to-Start and the Optimal Velocity Models and its Flow-Density Relation

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dc.contributor.authorUjino, H.
dc.contributor.authorYajima, T.
dc.date.accessioned2019-02-13T17:20:33Z
dc.date.available2019-02-13T17:20:33Z
dc.date.issued2015
dc.description.abstractThe 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.sponsorshipThis 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.identifier.citationA 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.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 39A10; 39A06
dc.identifier.otherDOI:10.3842/SIGMA.2015.065
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147136
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleA CA Hybrid of the Slow-to-Start and the Optimal Velocity Models and its Flow-Density Relationuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11, випуск за цей рік