贯通运营下考虑运力利用均衡的城轨开行方案优化研究

Optimization on train operation plan with consideration of balanced utilization of transportation capacity under through operation

贯通运营下列车开行方案优化编制是城轨网络化运营所面临的重要课题之一。为此,文章首先针对贯通运营时跨线交路与本线交路存在服务交叉的现象,将服务网络构建、出行路径搜索及列车满载率计算均细化至交路层面,并生成交叉交路发车频率相容性矩阵;其次,采用基于最优策略的方法进行服务网络客流分配,并建立以乘客出行与企业运营综合成本最小及区间断面运力利用最均衡为目标的混合整数规划模型,对交路、发车频率、编组方案进行综合优化;最后,以北京地铁1号线和八通线贯通运营为案例进行实证分析。分析结果表明:贯通运营可在基本保持运营成本不变的基础上将乘客候车、换乘成本以及线路运力利用均衡程度分别提升24.5%、55.4%、98%。

Optimizing the train operation plan under through-operation-mode is one of the important issues faced by metro network operations.Therefore,considering that the scope of services provided by through operation routing and ordinary routing has been overlapping under through-operation-mode,this paper firstly details the construction of train service networks,the search of passengers traveling paths and the calculation of train load factors in routing levels and generates a frequency compatibility matrix between service overlapped routings.Secondly,a method based optimal strategy was used to allocate the passenger fl ow into servicing network.A mix-integer programming model was built for optimizing routings,frequency and carriages of trains,the models’objectives being to minimize the overall cost of passenger travelling and enterprise operation as well as maximizing balanced section utilization of transportation capacity.Finally,taking through service of the line 1 and the line Batong of Beijing metro as an example,the empirical analysis was carried out.The analytical result show that while basically keeping the enterprise operating cost unchanged,through-operation-mode can improve passenger waiting cost,transferring cost and the balance of section capacity utilization by 24.5%,55.4%and 98%respectively.