A new lattice hydrodynamic model based on control method considering the flux change rate and delay feedback signal |
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| Authors: | Shunda Qin Hongxia Ge Rongjun Cheng |
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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;4. Center for Collaborative Innovation on Port Trading Cooperation and Development, Ningbo University, Ningbo 315211, China |
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| Abstract: | In this paper, a new lattice hydrodynamic model is proposed by taking delay feedback and flux change rate effect into account in a single lane. The linear stability condition of the new model is derived by control theory. By using the nonlinear analysis method, the mKDV equation near the critical point is deduced to describe the traffic congestion. Numerical simulations are carried out to demonstrate the advantage of the new model in suppressing traffic jam with the consideration of flux change rate effect in delay feedback model. |
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| Keywords: | Traffic flow Lattice hydrodynamic model Control method mKDV equation |
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