基于常微分方程的城市密集交通流疏导模型

Urban Dense Traffic Flow Diversion Model Based on Ordinary Differential Equation

针对传统密集交通疏导模型未在疏导过程中设置合理约束条件,导致计算速度慢、稳定差等问题,提出基于常微分方程的城市密集交通流疏导模型。针对交通流量动态特征,使用常微分方程构成多阶方程组,对不同时刻下的交通流量实行预测。使用有向图描述城市交通道路,遵循疏导简化最优原则,获得交通流量非线性变化函数。根据多解方程组的流量预测结果,考虑疏导过程中的约束条件,完成对疏导离散时间的修改。并在模型梯度的基础上,计算获取密集交通流量最佳疏导轨迹。通过仿真验证了上述方法具计算耗时短、稳定性强,可有效解决道路交通拥堵问题。

The lack of reasonable constraint conditions in traditional traffic dispersion model leads to low stability.Therefore,a model of urban dense traffic dispersion based on ordinary differential equation was presented.According to the dynamic features of traffic flow,the ordinary differential equation was used to construct the multi-order equations and predict the traffic flow at different times.The directed graph was used to describe urban roads,and the nonlinear change function of traffic flow was obtained by following the principle of simplification and optimization.According to the traffic forecasting result of the multi-solution equations and the constraint conditions in traffic dispersion,the discrete time was modified.Based on the model gradient,the optimal dispersion path of dense traffic flow was calculated.Simulation results show that the proposed method has the advantages of short computation time and strong stability,so it can effectively solve the problem of traffic congestion.