Multiple flux difference effect in the lattice hydrodynamic model |
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| Authors: | Wang Tao Gao Zi-You and Zhao Xiao-Mei |
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| Institution: | MOE Key Laboratory for Urban Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044, China ;College of Automation & Electronic Engineering, Qingdao University of Science & Technology, Qingdao 266042, China;MOE Key Laboratory for Urban Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044, China;MOE Key Laboratory for Urban Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044, China |
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| Abstract: | Considering the effect of multiple flux difference, an extended lattice model is proposed to improve the stability of traffic flow. The stability condition of the new model is obtained by using linear stability theory. The theoretical analysis result shows that considering the flux difference effect ahead can stabilize traffic flow. The nonlinear analysis is also conducted by using a reductive perturbation method. The modified KdV (mKdV) equation near the critical point is derived and the kink-antikink solution is obtained from the mKdV equation. Numerical simulation results show that the multiple flux difference effect can suppress the traffic jam considerably, which is in line with the analytical result. |
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| Keywords: | flux difference lattice hydrodynamic model traffic flow mKdV equation |
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