Article(id=1318999857633808581, tenantId=1146029695717560320, journalId=1146123302524792850, issueId=1318999663622079298, articleNumber=null, orderNo=null, doi=10.3969/j.issn.1672-6073.2025.06.006, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1742745600000, receivedDateStr=2025-03-24, revisedDate=1751817600000, revisedDateStr=2025-07-07, acceptedDate=null, acceptedDateStr=null, onlineDate=1792403671892, onlineDateStr=2026-10-19, pubDate=1765296000000, pubDateStr=2025-12-10, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1792403671892, onlineIssueDateStr=2026-10-19, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1792403671892, creator=13701087609, updateTime=1792403671892, updator=13701087609, issue=Issue{id=1318999663622079298, tenantId=1146029695717560320, journalId=1146123302524792850, year='2025', volume='38', issue='6', pageStart='1', pageEnd='147', issueExtLink='null', onlineDate='null', pubDate='1765296000000', pubDateStr='2025-12-10', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=null, createTime=1792403625636, creator='13701087609', updateTime=1792733312669, updator='13701087609', preIssue=null, nextIssue=null, articleTotal=null, ext={EN=IssueExt(id=1320382471334646693, tenantId=1146029695717560320, journalId=1146123302524792850, issueId=1318999663622079298, language=EN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1320382471334646694, tenantId=1146029695717560320, journalId=1146123302524792850, issueId=1318999663622079298, language=CN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null, downloadFileDto=null}, startPage=40, endPage=47, ext={EN=ArticleExt(id=1318999857889661126, articleId=1318999857633808581, tenantId=1146029695717560320, journalId=1146123302524792850, language=EN, title=Integrated Scheduling and Control of Virtual Coupling Trains in Junction Areas with Consideration of Passenger Service Quality, columnId=1152669335454658940, journalTitle=Urban Rapid Rail Transit, columnName=Academic Discussion, runingTitle=null, highlight=null, articleAbstract=

As urban rail transit networks continue to expand, junction areas in cross-line operations have increasingly become critical bottlenecks limiting capacity improvement. To alleviate passenger congestion during peak hours, this paper proposes a virtually coupled train coordination and scheduling method that incorporates passenger service level considerations. A train dynamics model is first established based on traction-braking characteristics and state transition rules. Then, a passenger- oriented Nash equilibrium game framework is constructed by introducing passenger priority levels to achieve coordinated optimization of train operation strategies. Furthermore, a bi-objective optimization function is formulated to balance two key indicators: passenger travel time and platform crowding. Finally, taking the junction area of Chongqing Rail Transit Lines 4, Loop Line, and Line 5 as the research object, eight typical operation scenarios are constructed to conduct simulation verification of the virtual coupling strategy, moving block strategy, and First Come First Serve (FCFS) strategy, and the impact of passenger flow changes on optimization effectiveness is analyzed. Simulation results demonstrate that, under peak operating conditions, the proposed method reduces passenger travel time cost by approximately 3% and platform congestion by around 30% compared to the traditional First Come First Serve (FCFS) strategy and the moving block-based game approach, significantly enhancing transportation efficiency and passenger satisfaction in cross-line operation zones.

, authors=Xueliang WU1, Junqing LIU2, 3, Ze FU2, 3, Jidong LYU2, 3, authorsList=Xueliang WU, Junqing LIU, Ze FU, Jidong LYU, authorCompany=null, correspAuthors=Jidong LYU, 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=1318999858187456711, articleId=1318999857633808581, tenantId=1146029695717560320, journalId=1146123302524792850, language=CN, title=考虑乘客服务水平的跨线区域虚拟编组列车调控一体化方法, columnId=1152669335668568445, journalTitle=都市快轨交通, columnName=学术探讨, runingTitle=null, highlight=null, articleAbstract=

随着城市轨道交通网络的不断扩展,跨线运行区域逐渐演变为制约运力提升的重要瓶颈。为缓解高峰期乘客滞留现象,提出一种服务导向的虚拟编组列车调控一体化方法。首先构建基于牵引制动特性与状态转化规则的列车动力学模型,并引入乘客优先等级提出乘客导向的纳什均衡博弈框架,实现列车运行策略的协调优化。然后设计兼顾乘客旅行时间与站台滞留人数两个核心指标的目标优化函数,最后以重庆轨道交通4号线-环线-5号线交汇区为研究对象,构建8组典型运行场景,对虚拟编组策略、移动闭塞策略、“先到先服务”(First Come First Serve,FCFS)策略进行了仿真验证,并分析客流量变化对优化效果的影响。研究结果表明:在高峰运行条件下,相较于传统的FCFS策略与基于移动闭塞的博弈方法,本文方法可分别减少约3%的乘客出行时间成本及约30%后续站台乘客的等待时间成本,显著提升跨线运行区段的运输效率和乘客满意度;在不同客流条件下,本文方法均能有效减少站台滞留人数,且在高峰时段的改善幅度约为30%,优势更为显著。研究成果可以为城市轨道交通从“运能导向”向“乘客导向”的转型提供方法支撑。

, authors=吴学良1, 刘君卿2, 3, 傅泽2, 3, 吕继东2, 3, authorsList=吴学良, 刘君卿, 傅泽, 吕继东, authorCompany=null, correspAuthors=吕继东, authorNote=

吴学良,男,本科,工程师,从事城轨调度指挥工作,

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吕继东,男,博士,教授,主要从事交通智能控制与优化研究,
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考虑乘客服务水平的跨线区域虚拟编组列车调控一体化方法
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吴学良 1 , 刘君卿 2, 3 , 傅泽 2, 3 , 吕继东 2, 3
都市快轨交通 | 学术探讨 2025,38(6): 40-47
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都市快轨交通 |学术探讨 2025 , 38 (6) : 40 -47
考虑乘客服务水平的跨线区域虚拟编组列车调控一体化方法
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吴学良1 , 刘君卿2, 3, 傅泽2, 3, 吕继东2, 3
作者信息
  • 1.北京地铁运营有限公司,北京 100101
  • 2.北京交通大学先进轨道交通自主运行全国重点实验室,北京 100044
  • 3.北京交通大学自动化与智能学院,北京 100044
通讯作者:
吕继东,男,博士,教授,主要从事交通智能控制与优化研究,
作者简介:

吴学良,男,本科,工程师,从事城轨调度指挥工作,

Integrated Scheduling and Control of Virtual Coupling Trains in Junction Areas with Consideration of Passenger Service Quality
Xueliang WU1 , Junqing LIU2, 3, Ze FU2, 3, Jidong LYU2, 3
Affiliations
  • 1.Beijing Mass Transit Railway Operation Co., Ltd., Beijing 100101
  • 2.State Key Laboratory of Advanced Rail Autonomous Operation, Beijing Jiaotong University, Beijing 100044
  • 3.School of Automation and Intelligence, Beijing Jiaotong University, Beijing 100044
出版时间: 2025-12-10 doi: 10.3969/j.issn.1672-6073.2025.06.006
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随着城市轨道交通网络的不断扩展,跨线运行区域逐渐演变为制约运力提升的重要瓶颈。为缓解高峰期乘客滞留现象,提出一种服务导向的虚拟编组列车调控一体化方法。首先构建基于牵引制动特性与状态转化规则的列车动力学模型,并引入乘客优先等级提出乘客导向的纳什均衡博弈框架,实现列车运行策略的协调优化。然后设计兼顾乘客旅行时间与站台滞留人数两个核心指标的目标优化函数,最后以重庆轨道交通4号线-环线-5号线交汇区为研究对象,构建8组典型运行场景,对虚拟编组策略、移动闭塞策略、“先到先服务”(First Come First Serve,FCFS)策略进行了仿真验证,并分析客流量变化对优化效果的影响。研究结果表明:在高峰运行条件下,相较于传统的FCFS策略与基于移动闭塞的博弈方法,本文方法可分别减少约3%的乘客出行时间成本及约30%后续站台乘客的等待时间成本,显著提升跨线运行区段的运输效率和乘客满意度;在不同客流条件下,本文方法均能有效减少站台滞留人数,且在高峰时段的改善幅度约为30%,优势更为显著。研究成果可以为城市轨道交通从“运能导向”向“乘客导向”的转型提供方法支撑。

轨道交通  /  虚拟编组  /  博弈论  /  跨线运行区域  /  调控一体化  /  纳什均衡博弈

As urban rail transit networks continue to expand, junction areas in cross-line operations have increasingly become critical bottlenecks limiting capacity improvement. To alleviate passenger congestion during peak hours, this paper proposes a virtually coupled train coordination and scheduling method that incorporates passenger service level considerations. A train dynamics model is first established based on traction-braking characteristics and state transition rules. Then, a passenger- oriented Nash equilibrium game framework is constructed by introducing passenger priority levels to achieve coordinated optimization of train operation strategies. Furthermore, a bi-objective optimization function is formulated to balance two key indicators: passenger travel time and platform crowding. Finally, taking the junction area of Chongqing Rail Transit Lines 4, Loop Line, and Line 5 as the research object, eight typical operation scenarios are constructed to conduct simulation verification of the virtual coupling strategy, moving block strategy, and First Come First Serve (FCFS) strategy, and the impact of passenger flow changes on optimization effectiveness is analyzed. Simulation results demonstrate that, under peak operating conditions, the proposed method reduces passenger travel time cost by approximately 3% and platform congestion by around 30% compared to the traditional First Come First Serve (FCFS) strategy and the moving block-based game approach, significantly enhancing transportation efficiency and passenger satisfaction in cross-line operation zones.

rail transit  /  virtual coupling  /  game theory  /  junction  /  integrated scheduling and control  /  NASH equilibrium game
吴学良, 刘君卿, 傅泽, 吕继东. 考虑乘客服务水平的跨线区域虚拟编组列车调控一体化方法. 都市快轨交通, 2025 , 38 (6) : 40 -47 . DOI: 10.3969/j.issn.1672-6073.2025.06.006
Xueliang WU, Junqing LIU, Ze FU, Jidong LYU. Integrated Scheduling and Control of Virtual Coupling Trains in Junction Areas with Consideration of Passenger Service Quality[J]. Urban Rapid Rail Transit, 2025 , 38 (6) : 40 -47 . DOI: 10.3969/j.issn.1672-6073.2025.06.006
  • 中央高校基本科研业务费项目(2022JBQY001)
  • 先进轨道交通自主运行全国重点实验室自主课题(RAO2023ZZ001)
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2025年第38卷第6期
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doi: 10.3969/j.issn.1672-6073.2025.06.006
  • 接收时间:2025-03-24
  • 首发时间:2026-10-19
  • 出版时间:2025-12-10
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  • 收稿日期:2025-03-24
  • 修回日期:2025-07-07
基金
中央高校基本科研业务费项目(2022JBQY001)
先进轨道交通自主运行全国重点实验室自主课题(RAO2023ZZ001)
作者信息
    1.北京地铁运营有限公司,北京 100101
    2.北京交通大学先进轨道交通自主运行全国重点实验室,北京 100044
    3.北京交通大学自动化与智能学院,北京 100044

通讯作者:

吕继东,男,博士,教授,主要从事交通智能控制与优化研究,
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2种不同金属材料的力学参数
科
Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)
属
Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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