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Symmetry, Integrability and Geometry: Methods and Applications, 2015, Volume 11, 065, 10 pp.
DOI: https://doi.org/10.3842/SIGMA.2015.065 (Mi sigma1046) 		 
A CA Hybrid of the Slow-to-Start and the Optimal Velocity Models and its Flow-Density Relation

Hideaki Ujinoa, Tetsu Yajimab

a National Institute of Technology, Gunma College, Maebashi, Gunma 371–8530, Japan
b Department of Information Systems Science, Graduate School of Engineering, Utsunomiya University, Utsunomiya 321–8585, Japan
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DOI: https://doi.org/10.3842/SIGMA.2015.065
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.
Keywords: optimal velocity (OV) model; slow-to-start (s2s) effect; cellular automaton (CA); ultradiscretization, flow-density relation.
Received: March 31, 2015; in final form July 27, 2015; Published online July 31, 2015
Bibliographic databases:
Document Type: Article
MSC: 39A10; 39A06
Language: English
Citation: Hideaki Ujino, Tetsu Yajima, “A CA Hybrid of the Slow-to-Start and the Optimal Velocity Models and its Flow-Density Relation”, SIGMA, 11 (2015), 065, 10 pp.
Citation in format AMSBIB
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