Xu Guangming, Zhao Shuo, Shi Feng, Zhang Feilian
School of Civil Engineering, Central South University, Changsha, Hunan, China.
School of Traffic and Transportation Engineering, Central South University, Changsha, Hunan, China.
PLoS One. 2017 Nov 30;12(11):e0188874. doi: 10.1371/journal.pone.0188874. eCollection 2017.
For urban rail transit network, the space-time flow distribution can play an important role in evaluating and optimizing the space-time resource allocation. For obtaining the space-time flow distribution without the restriction of schedules, a dynamic assignment problem is proposed based on the concept of continuous transmission. To solve the dynamic assignment problem, the cell transmission model is built for urban rail transit networks. The priority principle, queuing process, capacity constraints and congestion effects are considered in the cell transmission mechanism. Then an efficient method is designed to solve the shortest path for an urban rail network, which decreases the computing cost for solving the cell transmission model. The instantaneous dynamic user optimal state can be reached with the method of successive average. Many evaluation indexes of passenger flow can be generated, to provide effective support for the optimization of train schedules and the capacity evaluation for urban rail transit network. Finally, the model and its potential application are demonstrated via two numerical experiments using a small-scale network and the Beijing Metro network.
对于城市轨道交通网络而言，时空流分布在评估和优化时空资源分配方面可发挥重要作用。为了在不受时刻表限制的情况下获取时空流分布，基于连续传输概念提出了一个动态分配问题。为求解该动态分配问题，构建了城市轨道交通网络的单元传输模型。单元传输机制中考虑了优先级原则、排队过程、容量约束和拥堵效应。然后设计了一种高效方法来求解城市轨道交通网络的最短路径，从而降低求解单元传输模型的计算成本。采用逐次平均法可达到瞬时动态用户最优状态。可生成许多客流评估指标，为列车时刻表优化和城市轨道交通网络容量评估提供有效支持。最后，通过使用小规模网络和北京地铁网络的两个数值实验对该模型及其潜在应用进行了演示。
