考虑车辆排队长度的动态用户最优路径选择模型研究

Dynamic User Optimal Route Choice Model Considering the Length of Vehicle Queue

基于交通流理论,建立了路段下游交叉路口前车辆排队长度、路段车流密度的数学模型,提出了新的路段阻抗函数。运用该阻抗函数建立基于路径的动态用户最优路径选择变分不等式模型,给出了该模型的启发式算法。实例分析表明,当路段上有排队时,若将车辆排队处理为质点,则低估车辆路段走行时间,被低估的相对差距约为22%;新的阻抗函数能较好反映路段的阻抗。

Based on the traffic flow theories, a model of the length of vehicle queue in the link backward crossway and the recursion formulation of vehicle density in the link were deduced in this paper. A new llnk travel time function was proposed. A route-based variational inequality model and a heuristic algorithm of the dynamic user optimal route choice problem were proposed by the link travel time function. Furthermore, a model satisfying the FIFO principle was proved. The results indicate that the link travel times are underestimated when the vehicles are considered as particles in the link with queue; the relative difference is 22%. The new link travel time function can well reflect the link travel time. The dynamic user optimal route choice variational inequality model can well describe the behavior of the users＇ trips.