A new lattice hydrodynamic model accounting for the traffic interruption probability on a gradient highway |
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| Authors: | Qingying Wang Rongjun Cheng Hongxia Ge |
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| Institution: | 1. Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, China;2. Jiangsu Province Collaborative Innovation Center for Modern Urban Traffic Technologies, Nanjing 210096, China;3. National Traffic Management Engineering and Technology Research Centre, Ningbo University Sub-centre, Ningbo 315211, China |
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| Abstract: | In this paper, a novel lattice hydrodynamic model is presented by accounting for the traffic interruption probability on a gradient highway. The stability condition can be obtained by the use of linear analysis. Linear analysis demonstrates that the traffic interruption probability and the slope will affect the stability region. Through nonlinear analysis, the mKdV equation is derived to describe the phase transition of traffic flow. Furthermore, the numerical simulation is carried out, and the results are consistent with the analytical results. Numerical results demonstrate that the traffic flow can be efficiently improved by accounting for the traffic interruption probability on a gradient highway. |
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| Keywords: | Traffic flow Lattice hydrodynamic The traffic interruption probability Gradient highway |
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