An extended car-following model considering driver’s desire for smooth driving on the curved road
Yuqing Sun,
Hongxia Ge and
Rongjun Cheng
Physica A: Statistical Mechanics and its Applications, 2019, vol. 527, issue C
Abstract:
In real traffic, many driver’s desire to lower the fuel consumption by driving smoothly. In this paper, an extended car-following model considering the driver’s desire for smooth driving on a curved road is proposed. The desire for smooth driving can be considered as a control signal including the velocity difference between the steady and history velocity. The stability conditions are obtained by the control theory, and the modified Korteweg–de Vries (mKdV) equation is derived via the non-linear analysis method. The numerical simulations are carried out to analyze the control signal, the friction coefficient and radius of curved road effects on traffic flow. The results show that the control signal has a positive effect on improving traffic flow stability, while the stability decreases with the increase of the two other parameters.
Keywords: Car-following model; Curved road; Driver’s desire for smooth driving; Control method; Nonlinear analysis (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (9)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:527:y:2019:i:c:s0378437119308301
DOI: 10.1016/j.physa.2019.121426
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