Solid angle car following model

doi:10.1088/1674-1056/ab862c

中国物理B ›› 2020, Vol. 29 ›› Issue (6): 60504-060504.doi: 10.1088/1674-1056/ab862c

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

Solid angle car following model

Dongfang Ma(马东方), Yueyi Han(韩月一), Sheng Jin(金盛)

1 Institute of Marine Sensing and Networking, Zhejiang University, Zhoushan 316021, China;
2 Institute of Intelligent Transportation Systems, Zhejiang University, Hangzhou 310058, China

收稿日期:2020-03-02 修回日期:2020-03-26 出版日期:2020-06-05 发布日期:2020-06-05
通讯作者: Sheng Jin E-mail:jinsheng@zju.edu.cn
基金资助:
Project supported by the National Key R&D Program of China (Grant No. 2018YFB1601000).

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

Received:2020-03-02 Revised:2020-03-26 Online:2020-06-05 Published:2020-06-05
Contact: Sheng Jin E-mail:jinsheng@zju.edu.cn
Supported by:
Project supported by the National Key R&D Program of China (Grant No. 2018YFB1601000).

摘要/Abstract

摘要： 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.

关键词: solid angle, car following, nonlinear stability, vehicle size, asymmetry

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.

Key words: solid angle, car following, nonlinear stability, vehicle size, asymmetry

中图分类号: (Transport processes)

05.60.-k

05.70.Fh (Phase transitions: general studies) 11.90.+t (Other topics in general theory of fields and particles)

马东方, 韩月一, 金盛. Solid angle car following model[J]. 中国物理B, 2020, 29(6): 60504-060504.

Dongfang Ma(马东方), Yueyi Han(韩月一), Sheng Jin(金盛). Solid angle car following model[J]. Chin. Phys. B, 2020, 29(6): 60504-060504.

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Solid angle car following model

Solid angle car following model

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