Article(id=1308453898725913084, tenantId=1146029695717560320, journalId=1146123302524792850, issueId=1308453882472984927, articleNumber=null, orderNo=null, doi=10.3969/j.issn.1672-6073.2026.03.012, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1753286400000, receivedDateStr=2025-07-24, revisedDate=1766592000000, revisedDateStr=2025-12-25, acceptedDate=null, acceptedDateStr=null, onlineDate=1789889319354, onlineDateStr=2026-09-20, pubDate=null, pubDateStr=null, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1789889319354, onlineIssueDateStr=2026-09-20, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1789889319354, creator=13701087609, updateTime=1789889319354, updator=13701087609, issue=Issue{id=1308453882472984927, tenantId=1146029695717560320, journalId=1146123302524792850, year='2026', volume='39', issue='3', pageStart='1', pageEnd='150', issueExtLink='null', onlineDate='null', pubDate='1781020800000', pubDateStr='2026-06-10', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=null, createTime=1789889315479, creator='13701087609', updateTime=1789889814158, updator='13701087609', preIssue=null, nextIssue=null, articleTotal=null, ext={EN=IssueExt(id=1308455974147224139, tenantId=1146029695717560320, journalId=1146123302524792850, issueId=1308453882472984927, language=EN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1308455974151418444, tenantId=1146029695717560320, journalId=1146123302524792850, issueId=1308453882472984927, language=CN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null, downloadFileDto=null}, startPage=93, endPage=100, ext={EN=ArticleExt(id=1308453898931433981, articleId=1308453898725913084, tenantId=1146029695717560320, journalId=1146123302524792850, language=EN, title=Integrated Optimization of Train Rescheduling and Speed Management Considering Energy Efficiency Under Section Disruption, columnId=1152669335454658940, journalTitle=Urban Rapid Rail Transit, columnName=Academic Discussion, runingTitle=null, highlight=null, articleAbstract=

To address train rescheduling and speed management under section disruptions for urban rail transit, this study constructs a mixed integer nonlinear programming (MINLP) model with decision variables including section running time, section acceleration time, additional dwell time, and whether a train is affected by a disruption, aiming to minimize train traction energy consumption and terminal arrival delay times, providing a coordinated multi-objective optimization framework for restoring train operations in emergency scenarios, and thereby enabling rapid optimization of train rescheduling and energy-efficient speed profiles and ensuring the safe and stable operation of urban rail transit systems. Considering the quadratic non-convex constraints in the model, we reformulate the MINLP into a mixed integer quadratic programming (MIQP) model through Taylor approximation method, enabling effective solutions via commercial solvers. Utilizing operational data from Beijing Subway Yizhuang Line, numerical experiments validate the effectiveness of the MIQP in reducing train terminal delay time and traction energy consumption. This research provides a theoretical basis for rail transit operators to optimize train dispatching and operational control during disruptions. Keywords: urban rail transit; train rescheduling; speed management; energy-efficient train operation; taylor approximation

, authors=Ye YUAN¹, Lingyuan SHI², Xin YANG², authorsList=Ye YUAN, Lingyuan SHI, Xin YANG, authorCompany=null, correspAuthors=Lingyuan SHI, 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=1308453900776927742, articleId=1308453898725913084, tenantId=1146029695717560320, journalId=1146123302524792850, language=CN, title=区间中断下考虑节能的列车运行调整与速度管理一体化优化, columnId=1152669335668568445, journalTitle=都市快轨交通, columnName=学术探讨, runingTitle=null, highlight=null, articleAbstract=

针对城市轨道交通区间中断场景下列车运行调整与速度管理一体化优化问题，以列车区间运行时间、区间加速时间、额外停留时间以及列车是否受中断事故影响作为决策变量，以最小化列车牵引能耗和列车到达终点站的延误时间为目标，构建混合整数非线性规划（mixed integer nonlinear programming, MINLP）模型，为应急场景下列车运行恢复提供多目标协同优化框架，以实现突发事件下列车运行图与速度曲线的快速调整，保证城市轨道交通系统安全与稳定运行。针对模型中存在的二次非凸约束，通过泰勒近似方法将MINLP模型重构为混合整数二次规划（mixed integer quadratic programming, MIQP）模型，从而实现商业求解器的有效求解。以北京地铁亦庄线为例，通过数值实验验证MIQP模型在减少列车延误时间和降低列车牵引能耗方面的有效性，为轨道交通管理者在中断事故下开展列车调度优化与运行控制提供理论依据。

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袁也，男，硕士，工程师，研究方向为城市轨道交通行车组织，yuanye@bii.com.cn

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袁也，男，硕士，工程师，研究方向为城市轨道交通行车组织，yuanye@bii.com.cn

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