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періодичних видань НАН України
A CA Hybrid of the Slow-to-Start and the Optimal Velocity Models and its Flow-Density Relation
Репозиторій DSpace/Manakin
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- Фізико-технічні та математичні науки
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- Відділення математики
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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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A CA Hybrid of the Slow-to-Start and the Optimal Velocity Models and its Flow-Density Relation
Інший ID:
2010 Mathematics Subject Classification: 39A10; 39A06
DOI:10.3842/SIGMA.2015.065
DOI:10.3842/SIGMA.2015.065
Посилання:
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.
Підтримка:
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.
Дата:
2015
Переглядів:
765
Завантажень:
276
Анотація:
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.
