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Solid angle car following model |
| Dongfang Ma(马东方)1, Yueyi Han(韩月一)1, Sheng Jin(金盛)2 |
1 Institute of Marine Sensing and Networking, Zhejiang University, Zhoushan 316021, China;
2 Institute of Intelligent Transportation Systems, Zhejiang University, Hangzhou 310058, China |
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Abstract Existing traffic flow models give little consideration on vehicle sizes. We introduce the solid angle into car-following theory, taking the driver's perception of the leading vehicle's size into account. The solid angle and its change rate are applied as inputs to the novel model. A nonlinear stability analysis is performed to analyze the asymmetry of the model and the size effect of the leading vehicle, and the modified Korteweg-de Vries equation is derived. The solid angle model can explain complex traffic characteristics and provide an important basis for modeling nonlinear traffic phenomena.
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Received: 02 March 2020
Revised: 26 March 2020
Accepted manuscript online:
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PACS:
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05.60.-k
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(Transport processes)
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05.70.Fh
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(Phase transitions: general studies)
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11.90.+t
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(Other topics in general theory of fields and particles)
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| Fund: Project supported by the National Key R&D Program of China (Grant No. 2018YFB1601000). |
Corresponding Authors:
Sheng Jin
E-mail: jinsheng@zju.edu.cn
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Cite this article:
Dongfang Ma(马东方), Yueyi Han(韩月一), Sheng Jin(金盛) Solid angle car following model 2020 Chin. Phys. B 29 060504
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