带有最优流量信息中断期望影响的一类新格子模型

A new lattice hydrodynamics model considering the anticipation impact of optimal current interruption

交通中断是导致交通扰动的一个重要因素.为研究最优流量信息中断的期望行为对交通流稳定性的影响,基于Nagatani’s模型考虑最优流量中断概率的影响,提出一类新的格子流体力学模型.首先,根据线性稳定分析方法,得到新模型的线性稳定条件;其次,通过非线性稳定理论,获得该模型的modified Korteweg-de Vries(mKdV)方程,并根据求解方程得到的扭结-反扭结孤立波解描述交通堵塞的演变过程;最后,通过仿真算例验证了理论分析结果.结果表明,考虑最优流量中断期望影响的新格子流体力学模型比Nagatani’s模型更稳定,当添加最优流量信息中断的期望影响时,交通流的稳定性得到显著提高.

Traffic interruption is an important factor resulting in traffic congestion.To study the influence of the anticipation behavior of the optimal flow information interruption on traffic flow stability,a new lattice hydrodynamics model is proposed considering the effect of optimal traffic interruption probability based on Nagatani's model.Firstly,the linear stability condition of the new model is obtained according to the method of linear stability analysis.Secondly,the modified Korteweg-de Vries(mKdV)equation of the model is derived from the nonlinear stability theory,and the evolution of traffic jams is described according to the kink−antikink soliton solution obtained by solving the equation.Finally,the results of the theoretical analysis are verified by numerical simulations.The results show that the new lattice hydrodynamics model considering the anticipation effect of optimal current interruption is more stable than Nagatani's model.The stability of traffic flow can be effectively improved when the anticipation effect of the optimal current information interruption is added.