如何提高过饱和地铁线路的运力?超长列车组成的灵活操作方式

IF 5.8 1区 工程技术 Q1 ECONOMICS
Xiaopeng Tian , Lixing Yang
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引用次数: 0

摘要

在地铁正常运营条件下,固定长度列车组成是制约地铁运力提高的关键瓶颈之一。这些固定长度的组成部分被要求不超过车站站台的长度,从而限制了增加容量的潜力,从而有效地满足过饱和的乘客需求。为此,我们专注于一个灵活的地铁操作系统,配备了超长的列车组成,使列车能够超越车站平台的两端,以获得额外的容量。在过饱和和时间依赖的乘客需求驱动下,我们开发了一个紧凑的整数线性规划模型来确定列车组成长度和列车站台对齐关系。当使用商业求解器直接处理该模型时,复杂性分析和计算实践表明,该方法在大规模实验中效率较低。因此,我们将其重新表述为基于列的优化模型,同时使用列生成算法来解决其线性松弛版本,并自定义动态规划方法来生成有希望的列变量。为了获得高质量的整数解,我们仔细地将列生成嵌入到分支定界过程中,并通过理论分析阐述了一些加速策略。该方法应用于使用假设的和真实的线定义的几个测试实例。计算结果表明,该方法可以显著减少乘客等待时间,有效地处理大规模问题。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
How to improve transportation capacity of oversaturated metro lines? A flexible operation approach with extra-long train compositions
Under regular metro operation conditions, one critical bottleneck to improving metro transportation capacity is fixed-length train compositions. These fixed-length compositions are mandated to not exceed station platform lengths, thereby limiting the potential for increasing capacity to effectively accommodate oversaturated passenger demand. To this end, we focus on a flexible metro operating system equipped with extra-long train compositions, which allows trains to protrude beyond both ends of the station platforms for additional capacity. Driven by oversaturated and time-dependent passenger demand, we develop a compact integer linear programming model to determine train composition lengths and train-platform alignment relationships. When using commercial solvers to directly handle this model, complexity analyses and computational practice show that it is less efficient for large-scale experiments. We thus reformulate it as a column-based optimization model, while employing a column generation algorithm to solve its linear relaxation version and customizing a dynamic programming method to generate promising column variables. To achieve high-quality integer solutions, we carefully embed the column generation into a branch-and-bound procedure and elaborate some accelerating strategies through theoretical analyses. The approach is applied to several test instances defined by using hypothetical and real-world lines. The computational results demonstrate that the proposed approach can significantly reduce passenger waiting times and effectively handle large-scale problems.
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来源期刊
Transportation Research Part B-Methodological
Transportation Research Part B-Methodological 工程技术-工程:土木
CiteScore
12.40
自引率
8.80%
发文量
143
审稿时长
14.1 weeks
期刊介绍: Transportation Research: Part B publishes papers on all methodological aspects of the subject, particularly those that require mathematical analysis. The general theme of the journal is the development and solution of problems that are adequately motivated to deal with important aspects of the design and/or analysis of transportation systems. Areas covered include: traffic flow; design and analysis of transportation networks; control and scheduling; optimization; queuing theory; logistics; supply chains; development and application of statistical, econometric and mathematical models to address transportation problems; cost models; pricing and/or investment; traveler or shipper behavior; cost-benefit methodologies.
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