Stabilisation analysis of multiple car-following model in traffic flow |
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Authors: | Peng Guang-Han |
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Institution: | College of Physics and Electronic Science, Hunan University of Arts and Science, Changde 415000, China |
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Abstract: | An improved multiple car-following model is proposed by
considering the arbitrary number of preceding cars, which includes
both the headway and the velocity difference of multiple preceding
cars. The stability condition of the extended model is obtained by
using the linear stability theory. The modified Korteweg--de Vries
equation is derived to describe the traffic behaviour near the
critical point by applying the nonlinear analysis. Traffic flow can
be also divided into three regions: stable, metastable and unstable
regions. Numerical simulation is accordance with the analytical
result for the model. And numerical simulation shows that the
stabilisation of traffic is increasing by considering the
information of more leading cars and there is unavoidable effect on
traffic flow from the multiple leading cars' information. |
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Keywords: | traffic flow optimal velocity model numerical simulation |
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