Article(id=1308454736458445283, tenantId=1146029695717560320, journalId=1146123302524792850, issueId=1308454712513156008, articleNumber=null, orderNo=null, doi=10.3969/j.issn.1672-6073.2026.04.021, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1744041600000, receivedDateStr=2025-04-08, revisedDate=1770307200000, revisedDateStr=2026-02-06, acceptedDate=null, acceptedDateStr=null, onlineDate=1789889519084, onlineDateStr=2026-09-20, pubDate=null, pubDateStr=null, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1789889519084, onlineIssueDateStr=2026-09-20, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1789889519084, creator=13701087609, updateTime=1789889519084, updator=13701087609, issue=Issue{id=1308454712513156008, tenantId=1146029695717560320, journalId=1146123302524792850, year='2026', volume='39', issue='4', pageStart='1', pageEnd='197', issueExtLink='null', onlineDate='null', pubDate='1786291200000', pubDateStr='2026-08-10', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=1, specialIssue=null, createTime=1789889513376, creator='13701087609', updateTime=1789889839088, updator='13701087609', preIssue=null, nextIssue=null, articleTotal=null, ext={EN=IssueExt(id=1308456079029986178, tenantId=1146029695717560320, journalId=1146123302524792850, issueId=1308454712513156008, language=EN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1308456079029986179, tenantId=1146029695717560320, journalId=1146123302524792850, issueId=1308454712513156008, language=CN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null, downloadFileDto=null}, startPage=178, endPage=187, ext={EN=ArticleExt(id=1308454736651383268, articleId=1308454736458445283, tenantId=1146029695717560320, journalId=1146123302524792850, language=EN, title=Research on Global Optimization of Train Operation Timetable for Cross-line Transportation Organization of Urban Rail Transit, columnId=1153381654128218984, journalTitle=Urban Rapid Rail Transit, columnName=Operation Management, runingTitle=null, highlight=null, articleAbstract=

From the perspective of rail transit enterprise management, this study addresses the problem of coordinating and balancing rolling stock circulation efficiency, train load factor, and operational economics in cross-line operation, and constructs a multi-dimensional collaborative optimization model for cross-line train timetables with the objective of minimizing operational train-kilometers. The study focuses on the economic optimization of the spatiotemporal allocation of transport resources. By integrating core elements such as timetable scheduling, turnaround operations, depot operation plans, and cross-line connections, a linkage constraint mechanism between maximum headway and train load factor is established, enabling coordinated control of operating costs and service reliability. To improve solution efficiency, the FSAE-CLO (fast solution algorithm for engineering-cross line operation) algorithm is proposed, which transforms cross-line timetable optimization into a combinatorial search problem for cross-line decisions, gradually screens feasible schemes according to the sequence of trains available for cross-line operation, and adjusts cross-line decisions based on an iterative probability update mechanism, thereby compressing the solution space while reducing ineffective searches. Taking the morning peak hours of Beijing Metro Fangshan Line and Line 9 as an example, the empirical results show that, compared with the single-line operation mode, the proposed scheme reduces train-kilometers by 6.83%; compared with the genetic algorithm, it reduces operational mileage by 4% and shortens solution time by 24%. This study provides a new theoretical method and practical support from the perspective of cost reduction and efficiency improvement for transport enterprises in making decisions on adopting cross-line transportation organization methods, and its resource coupling optimization mechanism has reference value for improving the benefits of networked operation.

, authors=Qiuhan Dong¹, Jinjin Tang¹, Chao Li¹, Xinyun Shao¹, Jian Li², Mengyaoheng Liang³, Sidong Liu⁴, authorsList=Qiuhan Dong, Jinjin Tang, Chao Li, Xinyun Shao, Jian Li, Mengyaoheng Liang, Sidong Liu, authorCompany=null, correspAuthors=Jinjin Tang, authorNote=null, correspAuthorsNote=null, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=null, pdfFileSize=null, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, fund=null), CN=ArticleExt(id=1308454736861098469, articleId=1308454736458445283, tenantId=1146029695717560320, journalId=1146123302524792850, language=CN, title=城轨跨线运输组织列车运行图全局优化研究, columnId=1153381654287602537, journalTitle=都市快轨交通, columnName=运营管理, runingTitle=null, highlight=null, articleAbstract=

基于轨道交通企业经营视角，针对跨线运营中车辆周转效率、列车满载率与运营经济性协同平衡的问题，构建以最小化运营车公里为目标的多维度跨线运行图协同优化模型。研究聚焦运输资源时空配置的经济性优化，通过集成时刻表编排、折返作业、场段计划与跨线接续等核心要素，建立最大行车间隔与列车满载率的关联约束机制，实现运营成本与服务可靠性的协同管控。为提高求解效率，提出FSAE-CLO（fast solution algorithm for engineering-cross line operation）快速求解算法，将跨线运行图优化转化为跨线决策组合搜索问题，按照可跨线列车顺序逐步筛选可行方案，并基于迭代概率更新机制调整跨线决策，压缩解空间的同时减少无效搜索。以北京地铁房山线与9号线早高峰为例，实证表明：相较于单线运营模式，该方案降低6.83%车公里；较遗传算法减少4%运营里程，并缩短24%求解时间。本研究为运输企业在采用跨线运输组织方法决策中，从降本增效视角提供一种新的理论方法与实践支持，其资源耦合优化机制对提升网络化运营效益具有一定参考价值。

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董秋含，男，博士研究生，主要从事交通运输规划与管理，21114075@bjtu.edu.cn

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