基于尖顶突变理论的混合机动车流参数模型  

Model of mixed motor vehicles flow parameters based on cusp catastrophe theory

作　　者：敖谷昌[1,2] 贾元华[1] 李健[1] 张惠玲[2] 

机构地区：[1]北京交通大学交通运输学院,北京100044 [2]重庆交通大学交通运输学院,重庆400074

出　　处：《系统工程理论与实践》2009年第10期159-164,共6页Systems Engineering-Theory & Practice

基　　金：国家863计划(2007AA11Z213);校内青年科学基金(2006005)

摘　　要：传统的交通流模型很难同时处理交通流的"跳跃"现象和混合机动车流的交通问题.将平均车速作为状态变量,流量和大车混入率作为控制变量,可以建立尖顶突变模型的平衡曲面方程;结合交通流的物理意义,对方程进行坐标旋转和平移,并采用实测数据进行参数标定,进而得到混合机动车流的速度-流量-大车混入率模型.通过京津塘高速公路的实测数据分析表明:混合机动车流的尖顶突变模型具有较好的拟合效果,能够解释大车对混合交通流参数变化的影响,以及拥挤状态附近的突变现象,具有较好的实际应用价值.Traditional traffic flow models can hardly process the ＂leap＂ phenomenon and mixed traffic problem that exit in motor vehicles flow. Under this condition, equilibrium curve equation of cusp catastrophe model was built with average speed as input index and traffic volume and truck infiltration rate as control index, then the equation was rotated and translated according to the traffic flow physical meaning and pa- rameter was calibrated according to the in-situ data. After this, the model of speed-volume-truck infiltration rate that described mixed motor vehicles flow can be gotten. The result of this cusp catastrophe model in analyzing the actual traffic flow of Jing-Jin-Tang expressway shows that it has excellent fitting function and can be used to explain the influence of truck infiltration on traffic flow parameters and the catastrophe phenomenon that exists around crowded status.

关 键 词：突变理论 尖顶突变 混合机动车流 高速公路 

分 类 号：U491[交通运输工程—交通运输规划与管理]