城市地铁网络客流分配对于城市轨道交通网络化运营管理具有重要意义.既有研究较少地考虑基于时刻表条件下的列车容量限制对于客流分配的影响.文中通过构建时刻表扩展网络,设计时刻表扩展网络下的k短路径搜索算法,考虑列车容量限制下乘客的拥挤因素和留乘延误因素,构建随机用户均衡条件下的客流动态分配模型,并设计了求解算法.通过北京地铁网络客流分配实例进行模型验证,并分析了参数的敏感性.实例证明,模型具有较高的计算精度(相对误差9.5%~11.2%)和收敛速度,能满足地铁大规模网络客流分布的分析和评估需求.
The passenger flow assignment of subway networks plays an important role in the operation and manage-ment of urban rail transit networks.As the influence of the train capacity constraint on the passenger flow assign-ment in a schedule-based network is seldom taken into account in relevant literature, this paper constructs a dy-namic assignment model of passenger flows under the condition of the stochastic user equilibrium, and designs a so-lution algorithm by establishing a schedule-expanded network and by designing corresponding k-shortest path search algorithm.Moreover, the congestion and overload delay under the train capacity constraint are also taken into ac-count.Then, the proposed model is verified by a numerical example in Beijing subway networks, and the parame-ter sensitivity is analyzed.The results show that the proposed model is of a rapid convergence and a higher degree of accuracy with a relative error of 9.5%~11.2%, which can meet the requirements of analyzing and estimating the passenger flow distribution in a large-scalesubway network.