Analysis of stability and density waves of traffic flow model in
an ITS environment |
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Authors: | Z-P Li Y-C Liu |
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Institution: | (1) Institute of Image Processing and Pattern Recognition, Shanghai Jiao Tong University, 200240, Shanghai, P.R. China |
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Abstract: | By introducing relative velocities of arbitrary number of
cars ahead into the full velocity difference models (FVDM), we
present a forward looking relative velocity model (FLRVM) of
cooperative driving control system. To our knowledge, the model is
an improvement over the similar extension in the forward looking
optimal velocity models (FLOVM), because it is more reasonable and
realistic in implement of incorporating intelligent transportation
system in traffic. Then the stability criterion is investigated by
the linear stability analysis with finding that new consideration
theoretically lead to the improvement of the stability of traffic
flow, and the validity of our theoretical analysis is confirmed by
direct simulations. In addition, nonlinear analysis of the model
shows that the three waves: triangular shock wave, soliton wave and
kink-antikink wave appear respectively in stable, metastable and
unstable regions. These correspond to the solutions of the Burgers
equation, Korteweg-de Vries (KdV) equation and modified Korteweg-de
Vries (mKdV) equation. |
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Keywords: | 89 40 -a Transportation 64 60 Cn Order-disorder transformations statistical mechanics of modelsystems 02 60 Cb Numerical simulation solution of equations 05 70 Fh Phase transitions: general studies |
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