城市轨道交通网络列车运行计划一体化编制理论与方法研究
|
摘要
摘要：
城市轨道交通以其大运量、快捷、安全、节能环保等特性,已成为缓解我国城市化进程中交通问题的必然途径。随着轨道交通路网结构快速扩充,轨道交通从单线运营进入到网络化运营阶段。城市轨道交通网络化运营通过车站与线路的有效衔接,形成规模大、功能强的客运网络,线路之间和车站之间实现互联、互通、互动、资源共享,从而满足城市公共交通和乘客出行的需求。城市轨道交通系统的客流以随机汇聚的人群为主,相对单线而言,乘客出行路径、线路运营状况以及线间协调性等都发生了根本性的变化,这一特点导致城市轨道交通系统运行计划的独特复杂性。立足于城市轨道交通网络化运营现状,以提高网络化运营效率为根本目标,本文在充分借鉴国内外先进经验的基础上,从以下几个方面对已知路网OD及可调配运力资源约束的轨道交通路网列车运行计划一体化编制理论及方法进行研究：
(1)以“分布式运营、集中性协调”路网的列车运行计划一体化编制特征分析为基础,给出城市轨道交通网络列车运行计划一体化编制的定义和内涵。设计了基于线路分散自治与路网层次交互协作的路网列车运行计划一体化编制机制及流程,针对城市轨道交通网络运行计划编制的需求及特征,提出了城市轨道交通网络列车运行计划一体化编制理论框架。
(2)以网络客流时空分布分层多变的特征为基础,基于路网线路拓扑结构的分层网络描述,提出基于构成依赖型随机概率的路网客流分配,并应用分层网络最短路算法计算最优路径,实现网络客流的分线路离散化；基于有序样本差异序列聚类法,设计城市轨道交通线路客流时段划分方法,以此作为线路时段列车发车频率优化依据；设计了换乘站时段分向换乘客流量计算方法,以此作为线间协调依据。
(3)以线路发车频率影响因素分析为基础,构建了线路多时段列车发车频率多目标优化模型,模型以受列车发车频率影响的运营可变成本、乘客成本及虚糜惩罚为优化目标,提出了基于多方案反馈交互决策满意度方法的城市轨道交通线路列车发车频率模型求解方法；以线路最大输送能力为约束,对高峰期的留乘问题进行了分析；并根据客流时段与行车密度控制的关系分析,提出了列车发车频率时段控制方法。
(4)以列车发车频率设计结果为输入,针对城市轨道交通系统列车运行的离散动态特征,将列车在线运行看作循环排队网络的串行生产线,构建基于极大代数的城市轨道交通线路列车运行计划编制优化模型,确定列车车站到、发时刻；以模型的可控性、周期性等特征为依据,提出了基于反馈控制的模型参数优化方法。
(5)以网络的线间换乘客流组织优化为目标,分析了网络化运营条件下流(?)车关系,提出基于线间协作的线路列车运行计划协调目标、策略,并给出了基于运行线平移技术的线路列车运行计划协调方法；分析了首末车发车时间问题的差异性,根据末班车的衔接特征构建末班车的衔接损失最小模型,以运行线平移技术为手段,实现了路网线间衔接的协调；以高峰期路网能力约束为上限,对路网换乘节点的流线协调问题进行了分析。
(6)以城市轨道交通网络列车运行计划编制关键理论和技术为基础,设计城市轨道交通列车运行计划编制系统,实现列车运行计划的计算机自动编制。
ABSTRACT:
Urban mass transit system has become one of the key approaches to mitigate urban traffic problems in China, due to its large capacity, fast speed, safe, and sustainable characteristics. Urban mass transit operations has changed from route level to a network level with rapid expansion. A network based urban mass transit operations system can provide better service to the public through effective interaction between multiple routes and stations. On the other hand, it is extremely complicated to make operations plan in the network level than in a single route level due to the integration between multiple routes and stations, as well as the stochastic characteristics of passenger demand and route choice. Therefore, in order to improve the urban mass transit system operations efficiency, this study analyzed passenger OD flow in the current network, and train timetabling integration techniques under capacity constraints in the following ways:
(1) This dissertation puts forward the definition, connotation, mechanism and drafting procedures of integrity train timetabling for urban rail transit network, which based on its requirements analysis with features of "Distributed operation and Centralized coordination", and brings out the theory frame of integration train timetabling.
(2) This dissertation puts forward the method for urban rail transit Assignment, which based on constituent-dependent Random probability of passengers, and presents the shortest path algorithm method by using hierarchical network model. It designs the partitioning method of Operation time interval with sequential clustering of hourly section passenger volume. It puts forward the calculate method of transfer volume in each direction by introducing binary variables.
(3) This dissertation develops the multi-objective optimization model for train frequencies setting problem on a urban rail transit network to minimize the variable costs, the total passenger cost and the capacity wasting, The solution of this problem consists of two steps:Firstly, the objective function of each feasible solution was calculated; secondly, the interactive satisfying of multi-scheme decision feedback method was performed, and time interval of frequency setting control was brought out according to time delay research. With the maximum capacity constraint, the problem of passenger boarding surplus in peak hour was discussed in this dissertation too.
(4) This dissertation presents a max-plus based model for urban railway network timetabling with input of train departure frequency obtained from chapter3by using cyclic series product lines representation. And parameter optimization of the model was put forward in this dissertation.
(5) This dissertation puts forward a measure for the transferring optimizing problem in which lowering the period and the total transferring waiting time,the total passenger dissatisfied criterion, which based on travel line shifting method; and develops way to resolve the first and last train departure time setting problem while extending transfer optimize measure to specific trains. With the maximum transferring capacity constraints, the problem of passenger coordination at transfer stations in peak hour was discussed in this dissertation too.
(6) This dissertation designs timetabling system for urban rail transit network, which Based on the integration train timetabling theory in this dissertation.
城市轨道交通以其大运量、快捷、安全、节能环保等特性,已成为缓解我国城市化进程中交通问题的必然途径。随着轨道交通路网结构快速扩充,轨道交通从单线运营进入到网络化运营阶段。城市轨道交通网络化运营通过车站与线路的有效衔接,形成规模大、功能强的客运网络,线路之间和车站之间实现互联、互通、互动、资源共享,从而满足城市公共交通和乘客出行的需求。城市轨道交通系统的客流以随机汇聚的人群为主,相对单线而言,乘客出行路径、线路运营状况以及线间协调性等都发生了根本性的变化,这一特点导致城市轨道交通系统运行计划的独特复杂性。立足于城市轨道交通网络化运营现状,以提高网络化运营效率为根本目标,本文在充分借鉴国内外先进经验的基础上,从以下几个方面对已知路网OD及可调配运力资源约束的轨道交通路网列车运行计划一体化编制理论及方法进行研究：
(1)以“分布式运营、集中性协调”路网的列车运行计划一体化编制特征分析为基础,给出城市轨道交通网络列车运行计划一体化编制的定义和内涵。设计了基于线路分散自治与路网层次交互协作的路网列车运行计划一体化编制机制及流程,针对城市轨道交通网络运行计划编制的需求及特征,提出了城市轨道交通网络列车运行计划一体化编制理论框架。
(2)以网络客流时空分布分层多变的特征为基础,基于路网线路拓扑结构的分层网络描述,提出基于构成依赖型随机概率的路网客流分配,并应用分层网络最短路算法计算最优路径,实现网络客流的分线路离散化；基于有序样本差异序列聚类法,设计城市轨道交通线路客流时段划分方法,以此作为线路时段列车发车频率优化依据；设计了换乘站时段分向换乘客流量计算方法,以此作为线间协调依据。
(3)以线路发车频率影响因素分析为基础,构建了线路多时段列车发车频率多目标优化模型,模型以受列车发车频率影响的运营可变成本、乘客成本及虚糜惩罚为优化目标,提出了基于多方案反馈交互决策满意度方法的城市轨道交通线路列车发车频率模型求解方法；以线路最大输送能力为约束,对高峰期的留乘问题进行了分析；并根据客流时段与行车密度控制的关系分析,提出了列车发车频率时段控制方法。
(4)以列车发车频率设计结果为输入,针对城市轨道交通系统列车运行的离散动态特征,将列车在线运行看作循环排队网络的串行生产线,构建基于极大代数的城市轨道交通线路列车运行计划编制优化模型,确定列车车站到、发时刻；以模型的可控性、周期性等特征为依据,提出了基于反馈控制的模型参数优化方法。
(5)以网络的线间换乘客流组织优化为目标,分析了网络化运营条件下流(?)车关系,提出基于线间协作的线路列车运行计划协调目标、策略,并给出了基于运行线平移技术的线路列车运行计划协调方法；分析了首末车发车时间问题的差异性,根据末班车的衔接特征构建末班车的衔接损失最小模型,以运行线平移技术为手段,实现了路网线间衔接的协调；以高峰期路网能力约束为上限,对路网换乘节点的流线协调问题进行了分析。
(6)以城市轨道交通网络列车运行计划编制关键理论和技术为基础,设计城市轨道交通列车运行计划编制系统,实现列车运行计划的计算机自动编制。
ABSTRACT:
Urban mass transit system has become one of the key approaches to mitigate urban traffic problems in China, due to its large capacity, fast speed, safe, and sustainable characteristics. Urban mass transit operations has changed from route level to a network level with rapid expansion. A network based urban mass transit operations system can provide better service to the public through effective interaction between multiple routes and stations. On the other hand, it is extremely complicated to make operations plan in the network level than in a single route level due to the integration between multiple routes and stations, as well as the stochastic characteristics of passenger demand and route choice. Therefore, in order to improve the urban mass transit system operations efficiency, this study analyzed passenger OD flow in the current network, and train timetabling integration techniques under capacity constraints in the following ways:
(1) This dissertation puts forward the definition, connotation, mechanism and drafting procedures of integrity train timetabling for urban rail transit network, which based on its requirements analysis with features of "Distributed operation and Centralized coordination", and brings out the theory frame of integration train timetabling.
(2) This dissertation puts forward the method for urban rail transit Assignment, which based on constituent-dependent Random probability of passengers, and presents the shortest path algorithm method by using hierarchical network model. It designs the partitioning method of Operation time interval with sequential clustering of hourly section passenger volume. It puts forward the calculate method of transfer volume in each direction by introducing binary variables.
(3) This dissertation develops the multi-objective optimization model for train frequencies setting problem on a urban rail transit network to minimize the variable costs, the total passenger cost and the capacity wasting, The solution of this problem consists of two steps:Firstly, the objective function of each feasible solution was calculated; secondly, the interactive satisfying of multi-scheme decision feedback method was performed, and time interval of frequency setting control was brought out according to time delay research. With the maximum capacity constraint, the problem of passenger boarding surplus in peak hour was discussed in this dissertation too.
(4) This dissertation presents a max-plus based model for urban railway network timetabling with input of train departure frequency obtained from chapter3by using cyclic series product lines representation. And parameter optimization of the model was put forward in this dissertation.
(5) This dissertation puts forward a measure for the transferring optimizing problem in which lowering the period and the total transferring waiting time,the total passenger dissatisfied criterion, which based on travel line shifting method; and develops way to resolve the first and last train departure time setting problem while extending transfer optimize measure to specific trains. With the maximum transferring capacity constraints, the problem of passenger coordination at transfer stations in peak hour was discussed in this dissertation too.
(6) This dissertation designs timetabling system for urban rail transit network, which Based on the integration train timetabling theory in this dissertation.
引文
[1]张铭.城市轨道交通网络运营计划协调优化研究[D].同济大学,2008.9.
[2]陶志祥,张宁,杜波.城市轨道交通客流时空分析研究,[J].城市公共交通,2004,2：33-35.
[3]过秀成,王炜,吕慎.基于合作竞争类OD的轨道客流预测方法研究[J].公路交通科技,2000,17(4)：57-63.
[4过秀成,吕慎.基于合作竞争类OD联合方式划分轨道客流分配模型,[J].中国公路学报,2000,13(4)：91-94.
[5]四兵锋,毛保华,刘智丽.无缝换乘条件下城市轨道交通网络客流分配模型及算法[J].铁道学报,2007,29(6)：12-18.
[6]吴祥云,刘灿齐.轨道交通客流量均衡分配模型与算法,[J].同济大学学报(自然科学版),2004,32(9)：1158-1163.
[7]石小法,于炜.高度信息化条件下的动态配流模型,[J].东南大学学报,2001,31(2)：91-93.
[8]杜文,林淑容,周贤伟.系统最优的动态交通网络流分配模型的分批并行算法[J].西南交通大学学报,2001,36(5)：453-456.
[9]谢亚伟.基于网络均衡的运输通道客流分配模型[J].公路交通科技,2006,23(5)：143-146.
[10]孔繁钰,李献忠.弹性需求下的轨道交通客流分配模型和算法[J].西安工程大学学报,2008,22(1).
[11]Cominetti, R., Correa, J. Common-lines and passenger assignment in congested transit networks, [J]. Transportation Science,2001,35 (3):250-267.
[12]Nguyen, S., Pallottino, S. Equilibrium traffic assignment for large scale transit networks,[J]. European Journal of Operational Research,1988,37:176-186.
[13]Spiess, H., Florian,M. Optimal strategies:A new assignment model for transit networks,[J]. Trans portation Research-Part B,1989,23 (2),83-102.
[14]de Cea, J., Fernandez, E. Transit assignment for congested public transport systems:An equilibrium model,[J]. Transportation Science,1993,27 (2),133-147.
[15]Wu, J.H., Florian,M.. A simplicial decomposition method for the transit equilibrium assignment problem,[C]. Annals of Operations Research,1993,44:245-260.
[16]Wu, J.H., Florian, M., Marcotte, P.. Transit equilibrium assignment:A model and solution algorithms,[J]. Transportation Science,1994,28 (3):193-203.
[17]Nielsen,O.A.. A stochastic transit assignmentmodel considering differences in passengers utilityfunctions,[J]. Transportation Research-Part B,2000,34:377-402.
[18]Nielsen, O.A.. A large scale stochastic multi-class schedule-based transit model with random coefficients,[C]. In:Wilson, N.H.M., Nuzzolo, A. (Eds.), Schedule-Based Dynamic TransitModeling:Theoryand Applications. Kluwer Academic, Boston,2004:53-77.
[19]Nuzzulo, A.Transit path choice and assignment model approaches, [C]. In:Lam, W.H.K., Bell,M.G.H. (Eds.), Advanced Modeling for Transit Operations and Service Planning. Pergamon, Amsterdam,2003:93-124.
[20]Nuzzulo, A., Russo, F., Crisalli, U.. A doubly dynamic schedule-based assignment model fortransit networks,[J]. Transportation Science.2001,35 (3),268-285.
[21]Poon, M.H., Wong, S.C., Tong, C.O.A dynamic schedule-based model for congested transitnetworks,[J]. Transportation Research-Part B,2004,38(4):343-368.
[22]Tong, C.O., Wong, S.C.. A stochastic transit assignment model using a dynamic schedule-based network,[J]. Transportation Research-Part B,1999 (33):107-121.
[23]孙焰,施其洲,赵源,孔庆瑜.城市轨道交通列车开行方案的确定[J].同济大学学报,2004(8)：1005-1008,1014.
[24]林震,杨浩.城市轨道交通发车间距优化模型探讨[J].土木工程学报,2003(1)：1-5.
[25]严波.城市轨道交通行车间隔时间优化模型研究[J].城市轨道交通研究,2008.6.
[26]Ozgiir Yale mkaya, G. Mirac Bayhan.Modelling and optimization of average travel time for a metro line bysimulation and response surface methodology,[J].European Journal of Operational Research 2009,196:225-23
[27]房霄虹.城市轨道交通网络化协调运营理论及方法研究[D].北京交通大学.
[28]Ceder, A.Bus frequency determination using passenger count data,[J]. Transportation Research Part A,1984,18:439-453.
[29]Scheele, S.. A supply model for public transit services. Transportation ResearchPart B 1980,(14):133-146.
[30]Furth, P.G.,Wilson, N.H.M.. Setting frequencies on bus routes:Theory and practice,[J]. Transportation Research Record,1982,818:1-7.
[31]Koutsopoulos, H.N., Odoni, A., Wilson, N.H.M. Determination of headways as a function oftime varying characteristics on a transit network, [C]. In:Rousseau, J.M. (Ed.), Computer Scheduling ofPublic Transport 2. North-Holland, Amsterdam,1985:391-414.
[32]Gao, Z., Sun, H., Shan, L.L.. A continuous equilibrium network design model and algorithm fortransit systems,[J]. Transportation Research-Part B,2004,38(3):235-250
[33]Claessens, M.T., van Dijk, N.M., Zwaneveld, P.J. Cost optimal allocation of passenger lines,[J].European Journal of Operational Research1998,110:474-489.
[34]Goossens, J.H.M., van Hoesel, C.P.M., Kroon, L.G.. A branch-and-cut approach for solvingrailway line-planning problems,[J]. Transportation Science 2004,38:379-393.
[35]Goossens, J.H.M., van Hoesel, C.P.M., Kroon, L.G.. On solving multi-type railway line planningproblems,[J]. European Journal of Operational Research,2005(168):403-424.
[36]马建军,胡思继,许红.基于京沪高速铁路运行图的高速路网理论研究[J].铁道学报,2002,24(3)：1-4.
[37]马建军,胡思继.网状线路列车运行图实验平台基础理论的研究[J].北方交通人学学报,2002,26(5)：9-18.
[38]马建军.基于网状线路的京沪高速铁路列车运行图编制理论的研究,[D].北京交通大学,2002.2.
[39]胡思继.列车运行图编制理论,[M].北京：中国铁道出版社,2007.2.
[40]周磊山,胡思继.计算机编制网状线路列车运行图方法研究,[J].铁道学报,199820(5)：15-21.
[41]彭其渊,朱松年,王培.网络列车运行图的数学模型及算法研究[J].铁道学报,2001,23(1)：1-8.
[42]彭其渊,闫海峰,石子明.计算机编制列车运行图的理论与方法[M].成都：西南交通大学出版社,2004
[43]查伟雄,熊梓林.列车区间运行时分动态特性研究[J].系统工程,2001,19(1)：47.51.
[44]Ralf Bornd orfer, Martin Gr otschel, and Marc E. Pfetsch.Models for Line Planning in Public Transport,ZIB-Report,.2004.04.COMPUTER-AIDED SYSTEMS IN PUBLIC TRANSPORT [M]. Lecture Notes in Economics and Mathematical Systems,2008,600, Part Ⅵ:363-378.
[45]Ismail Sahin. Railway traffic control and train scheduling based oninter-train conflict management,[J].Transportation Research Part B,1999,33:511-534.
[46]P. Vansteenwegen, D. Van Oudheusden.Decreasing the passenger waiting timefor an intercity rail network,[J].Transportation Research Part B 2007,41:478-492.
[47]P. Vansteenwegen, D. Van Oudheusden.Developing railway timetables which guarantee a better service,[J].European Journal of Operational Research 2006,173:337-350.
[48]Carey.M.A Model and strategy for train pathing with choice of lines, platforms, and routes[J].TransportationRes.-B.1994,28(5)333-353.
[49]Carey,M.Lockwood,D.AModel,algorithmsandstrategyfortrainpathing[J].OperationalRes.Soc. 1992,46(8):988-1005.
[50]Yu-Hern Chang,Chung-Hsing Yeh,Ching-Cheng Shen.A multiobjective model for passenger train services planning:application to Taiwan's high-speed rail line,[J].Transportation Research Part B,2000,34:91-106.
[51]Alessandro Chierici, Roberto Cordone The demand-dependent optimization ofregular train timetables,[J].Electronic Notes in Discrete Mathematics,2004,17:99-104.
[52]Hurdle, V.F..Minimum cost schedules for a public transportation route-Ⅰ,[J]. Theory. Transportation Science,1973 7 (2),109-137.
[53]Hurdle, V.F. Minimum cost schedules for a public transportation route-Ⅱ,[J]. Examples. Trans portation Science,1973,7 (2):138-157.
[54]Wirasinghe, S.C., Liu, G. (1995). Optimal schedule design for a transit route with one intermediatetime point,[J]. Transportation Planning and Technology 19,121-145.
[55]Caprara A, Fischetti M, Toth P. Modeling and solving the train timetabling problem,[J]. Oper Res,2002,50(5):851-861.
[56]Caprara A, Monaci M, Toth P, Guida PL. A lagrangian heuristic alogorithn for a real-world train timetabling problem,[J]. Discret Appl Math,2006,154:738-753.
[57]Cacchiani V, Caprara A, Toth P. A column generation approach to train timetabling on a corridor[J]. OR,2008,4 (6):125-142.
[58]Borndorfer R, Schlechte TModels for railway track allocation,[R]. Technical Report 07-02, Konrad-Zuse-Zentrum fur Informationstechnik Berlin.2007.
[59]Borndorfer R, Schlechte T. Solving railway track allocation problems,[R]. Technical Report 07-20,Konrad-Zuse-Zentrum fur Informationstechnik Berlin.2007.
[60]Borndorfer R, Grotschel M, Lukac S, Mitusch M, Schlechte T, Schultz S, Tanner A.An auctioning approach to railway slot allocation, [R]. Technical Report 05-45, Konrad-Zuse-Zentrum fur Informations-technik Berlin.2005.
[61]Serafini P, UkovichW A mathematical model for periodic scheduling problems,[J]. SIAM J. on Discrete Mathematics,1989,2 (4):550-581.
[62]Peeters L Cyclic railway timetable optimization, [D]. P, Erasmus Research Institute of Management.2003.
[63]J. Medanic and M.J. Dorfman. ENERGY EFFICIENT STRATEGIES FOR SCHEDULING TRAINS ON A LINE,[C].15th Triennial World Congress, Barcelona, Spain (Copyright (?) 2002 IFAC).
[64]M.J. Dorfman, J. Medanic. Scheduling trains on a railway network usinga discrete event model of railway traffic,[J]. Transportation Research Part B,2004,38:81-98,97.
[65]John S. Carson, Onala M. Atala.USING COMPUTER SIMULATION FOR RAPID TRANSIT OPERATING STRATEGIES,[C].Proceedings of the 1990 Winter Simulation Conference Osman Balci, Randall P. Sadowski, Richard E. Nance (eds.)
[66]B. De Schutter and T. van den Boom.Model predictive control for railway networks,[C]Proceedings of the 2001 IEEE/ASME International Conference onAdvanced Intelligent Mechatronics (AIM'01), Como, Italy, pp.105-110, July2001.
[67]Wa nderson O. Assis, Basi' lio E.A. Milani.Generation of optimal schedules for metro lines using modelpredictive control,[J].Automatica 40 (2004) 1397-1404.
[68]许红,马建军,龙建成.城市轨道交通列车运行图编制的数学模型及方法[J]北京交通大学学报,2006,30(3：10.14.
[69]徐瑞华,江占彬,朱效沽.城市轨道交通列车运行图计算机编制的关键问题研究[J].城市轨道交通研究,2005,(5)：30.35.
[70]江志彬,徐瑞华.计算机编制城市轨道交通共线交路列车运行图[J].同济大学学报(自然科学版),2010,(5)：38.5：692-697.
[71]高强周.城市轨道交通列车运行图设计实现与评价[D].北京交通大学,2008.11.
[72]李爱菊,唐祯敏.基于极大代数理论的城市轨道交通模型研究[J].铁道运输与经济2006.10.
[73]李爱菊.城市轨道交通系统的极大代数模型研究[D].北京交通大学,2006,12,10.
[74]R.M.P. Goverde, M.A. Odijk.Performance evaluation of network timetables using PETER,[C].Computers in Railways VIII, WIT Press, Southampton,2002.
[75]Rob M.P. Goverde.Railway timetable stability analysis using max-plus system theory[J].Transportation Research Part B 41 (2007) 179-201
[76]Rob M.P. Goverde.Punctuality of Railway Operations and Timetable Stability Analysis[D].TRAIL Thesis Series no. T2005/10, The Netherlands TRAIL Research School
[77]Rob M.P. Goverde.OPTIMAL SCHEDULING OF CONNECTIONS INRAILWAY SYSTEMS,[C].Paper prepared for the 8th WCTR, Antwerp, July,1998revised version
[78]A. Ceder, B. Golany, O. Tal.Creating bus timetables with maximal synchronization,[J].Transportation Research Part A:Policy and Practice,2001,35(10) 913-928
[79]Avishai Ceder and Ofer Tal. Designing Synchronization into Bus Timetables,[J]. Transportation Research Record,1998,1760:28-34.
[80]Yuval Hadas, Avishai Ceder.PublicTransit Simulation Model for Optimal Synchronized Transfers,[J].Transportation Research Record:Journal of the Transportation Research Board,2008,(2063):52-59.
[81]Salzborn, F.J.M. Scheduling bus systems with interchanges,[J]. Transportation Science 198014 (3):211-220.
[82]Rachel C.W. Wong, Janny M.Y. Leung. Timetable Synchronization for Mass Transit Railway [C].In Proceedings of the 9th International Conference on Computer-Aided Scheduling of Public Transport (CASPT)
[83]Knoppers, P., Muller, T. Optimized transfer opportunities in public transport,[J]. Transportation Science 1995,29 (1),101-105.
[84]Bookbinder, J.H., Desilets, A. (). Transfer optimization in a transit network,[J]. Transportation Science 1992,26 (2),106-118.
[85]Chung Min Kwan and C. S. Chang.Timetable Synchronization of Mass Rapid TransitSystem Using Multi-objective Evolutionary Approach,[C].IEEE TRANSACTIONS on SYSTEMS, MAN, AND CYBERNETICS—PART C:APPLICATIONS AND REVIEWS,2008,38(5):636-648.
[86]Albert Ang, Michael McIvor.Optimal Public-Transport Transfer Synchronization Using Operational Tactics, [C].Proceedings of the 45thAnnual Conference of the ORSNZ,2010.11.
[87]Dusan Teodorovi6,Panta Lucic.Schedule synchronization in public transit using the fuzzy ant system[J].Transportation Planning and Technology,2005,28(1):47-76.
[88]Chien, S. and Chowdhury, M. Scheduling of Coordinated Transfers for PublicTransit Services,[R]. The office of Sponsored Program, New Jersey Institute of Technology, Final Report. 1997.
[89]Md. Shoaib Chowdhury, and Steven I-Jy Chien.Optimization of Transfer Coordination For Intermodal Transit Networks,[C]. Transportation Research Board 80th Annual Meeting, 2001,1:7-11,.
[90]Fang Zhao, Xiaogang Zeng. Optimization of transit route network, vehicle headwaysand timetables for large-scale transit networks,[J].European Journal of Operational Research, 2008,186:841-855.
[91]Fleurent, C., Lessard, R., Seguin, L.,2004. Transit timetable synchronization:evaluation and optimization, [C]. In:Proceedings of the Ninth InternationalConference on Computer-Aided Scheduling of Public Transport (CASPT), San Diego, California.
[92]诸葛恒英.北京城市轨道交通换乘效率研究,[D].北京交通大学,2007,6.
[93]张铭,徐瑞华.轨道交通网络列车衔接组织的递阶协调优化[J].系统工程,2007,25(9)：.33-37.
[94]周艳芳,周磊山,乐逸祥.城市轨道网络换乘站列车衔接同步协调优化研究,[J].铁道学报,2011,33(3)：9-16.
[95]徐瑞华,张铭,江志彬.基于线网运营协调的城市轨道交通首末班列车发车时间域研究,[J].铁道学报,2008,30(2)：7-11.
[96]Giuseppe Bruno, Gennaro Improta, Antonino Sgalambro. Optimization of the Departure Schedule at a Public TransitTerminal with Multiple Destinations,[J].MISTA 2007,104-111.
[97]陈玲玲,王慈光.基于旅客列车合理接续条件的发车时刻确定方法[J].西南交通大学学报,2007.42(2)：234-237.
[98]陈团生,毛保华,何宇强.旅客列车发车时间域优化研究[J].铁道学报,2006,28(4)：12-16.
[99]周小棋,郭富娥.计算机辅助编制旅客列车运行图的研究[J].铁道学报.1992.014(003)65-71.
[100]郭富娥.日本近期开发的列车运行图编制系统[J].中国铁路.1995.000(008)38-40.
[101]郭富娥.利用电子计算机编制列车运行图[J].铁道运输与经济.1992.(1)27-29.
[102]郭富娥.计算机编制双线列车运行图的研究[J].铁道运输与经济.1998.020(005)26-27.
[103]铁道科学研究院.计算机辅助编制全路直通客车方案研究报告[R].北京.1989.12.
[104]马建军,周磊山,胡思继.计算机编制网状线路列车运行图系统研究[J].铁道学报,2000,22(1)：7-11.
[105]倪少权,吕红霞,杨明伦.全路列车运行图编制系统设计的研究[J].西南交通大学学报,2003,38(3).
[107]高速铁路列车运行图自动生成及辅助决策支持子系统[R].北京交通大学,2010.5
[108]庄巍,陈永生.上海地铁列车运行图自动编制系统[J].计算机工程,2003(29)21：165-167.
[109]徐瑞华,江志彬.城轨交通列车运行图的计算机编制相关问题探讨.2004海峡两岸智能运输系统学术会议论文集.哈尔滨：哈尔滨工业大学,2004：486-490.
[110]村山一雄,邹振民.JR东日本公司的新干线综合运输管理系统(COSMOS),[J].中国铁路,2000(11).
[111]Hirao Y, Hasegawa Y. Development of a Universal Train Simulator(UTRAS) and Evaluation of Signaling Systems[J].RTRI,1995,336(4):180-185.
[112]严寒冰,刘迎春.基于GIS的城市道路网最短路径算法探讨[J].计算机学报,2000,25(3).
[113]杨新苗,王炜,马文腾.基于GIS的公交乘客出行路径选择模型[J].东南大学学报(自然科学版),2000,30(6)：87-91.
[114]傅冬绵.交通系统中最少换乘算法及其实现[J].华侨大学学报(自然科学版),2001,22(4)：348-350.
[115]LO HK, YIP CW, WAN KH.Modeling transfer and non-linear fare structure in multi-modal network[J].Transportation ResearchPart B,2003,37:149-170.
[116]赵巧霞,马志强,张发.以最小换乘次数和站数为目标的公交出行算法[J].计算机应用,2004,24(12)：136-137,146.
[117]朱江云,王玉琨.基于最小换乘次数的最优路径算法[J].福建电脑,2007(3)：121-122.
[118]姜帆.城市轨道交通与其它交通方式衔接的研究[J].北方交通大学学报,2001,25(4)：108-110.
[119]王志臣,王丽娟,高峰.城市轨道交通换乘效率评价[J].铁道运输与经济,2007,30(1)：74-76.
[120]吴其刚,刘澜.基于信息颗粒的城市轨道交通换乘枢纽评价研究[J].城市轨道交通研究,2008(11)：21-23,56.
[121]吕欣,李勇,邓宏钟,谭跃进.基于节点合并的最短路问题新算法[J].小型微型计算机系统,2009,30(4)：695-670.
[122]程乾生.有序样品聚类的差异序列法[J].北京大学学报(自然科学版),1993,29(5)：545-551.
[123]程乾生.一种新的样品聚类方法——差异序列法[J].科学通报,1994,39(2)：97-99.
[124]王传玉.有序样品聚类的全差异矩阵法[J].安徽工程科技学院学报,2003,18(1)：36-38.
[125]孙林祥.地铁运行发车间隔和旅行速度指标下降的分析[J].都市快轨交通,2007.4
[126]洪玲,陈菁菁,徐瑞华.市域快速轨道交通线行车间隔优化问题研究[J].城市轨道交通研究,2006.3.
[127]Yusin Lee a,Chuen-Yih Chen.A heuristic for the train pathing and timetabling problem [J].Transportation Research Part B 43 (2009) 837-851.
[128]WILLIAM H K, LAM, ChEUNG Chung Y. A study of crowding effects at the Hong Kong light rail transitstations,[J]. Transportation Research Part A,1999, (33):401-415.
[129]Newell G F. Dispatching policies for a transportation route[J]. Transportation Science, 1971,5:91-105.
[130]王顺久,侯玉,丁晶,张欣莉.交互式多目标决策新方法及其在水资源系统规划中的应用[J].水科学进展,2003,7(4)：476-479.
[131]张欣莉.基于目标满意度的交互式多目标决策改进方法[J].系统工程,2004年9月,第22卷第9期(总第129期).
[132]蒋尚华,徐南荣.基于目标达成度和目标综合度的交互式多目标决策方法[J].系统工程理论与实践,1999,(1)：9-14.
[133]徐泽水.一种基于目标贴近度的多目标决策方法[J].系统工程理论与实践,2001,(9)：101-104.
[134]徐泽水.一种交互式多目标决策新方法[J].系统工程理论与实践,2002,(2)：104-108.
[135]王建群,叶秉如.一种交互式多目标决策方法及其应用[J].水科学进展,1996,7(1)：60-65.
[136]Marta Flamini, Dario Pacciarelli. Real time management of a metro rail terminus [J].European Journal of Operational Research 2008,189:746-761.
[137]Hon Wai Chun.TRAIN TIMETABLE AND ROUTE GENERATION USING A CONSTRAINT-BASED APPROACH, [C].Proceedings of the Tenth International Conference on Industrial & Engineering Applications of Artificial Intelligence & Expert Systems,Atlanta, June,1997.
[138]M. Ghantous-Mouawad, W.Schon, J.L.Boulanger,G.Churchill.Line 1 Automation Project: from Manual Train Driving to a Driverless Operation, [C]. IEEE/IET Electronic Library (IEL),IBM Journal of Research and Development, VDE VERLAG Conference Proceedings.
[139]M,Ghantous-Mouawad,Walter Schon,Jean-Louis Boulanger and Gerald Churchill. Converting a conventional metro line into automated operation:identifying and managing the safety process of the traffic in migration phase,[].IET System Safety,2006:217-226.
[140]John S.Carson,Onala M.Atala.USING COMPUTER SIMULATION FOR RAPID TRANSIT OPERATING STRATEGIES,[C].Proceedings of the 1990 Winter Simulation Conference Osman Balci, Randall P. Sadowski, Richard E. Nance (eds.).
[141]Marie Schmidt,Anita Schobel.The Complexity of Integrating Routing Decisions in Public Transportation Models, [C].10thWorkshop on Algorithmic Approaches for Transportation Modelling,Optimization, and Systems (ATMOS'10):156-169.
[142]何静,司宝华,陈颖雪.城市轨道交通线路与站场设计[M].北京：中国铁道出版社,2010.
[143]中华人民共和国建设部.GB50157-2003地铁设计规范[S].北京,2003.5.
[144]王粉线,汪履直.城市轨道交通车辆段出入段线的设置[J].现代城市轨道交通2006.2
[145]G.Cohen et al.A Linear-System-Theoretic View of Discrete-Event Processes and Its Use for Performance Evaluation in Manufacturing [J]. IEEE Trans,1985,30 (3):210-220.
[146]郑大钟,赵千川.离散事件动态系统[M].北京：清华大学出版社,2001.
[147]沈景清.对串行生产线极大代数方法建模的一点注记[J].通化师范学院学报,2001.4(22).
[148]陈文德.串行生产线无阻塞最优控制与调度[J].控制与决策,1990,13(11)：374-377.
[149]戴志勇,赵臻.一类DEDS模型的快速解法和它的某些动态特性参数的计算[C].《1994中国控制与决策学术年会论文集》
[150]刘长有,赵拥军.基于极大代数的航班离港过程分析[J].中国民航大学学报,2009.2(27).
[151]张益群,杨球.一类离散事件动态系统的最优控制与调度[J].武汉理工大学学报,2007.8(29).
[152]马俊,戴志勇.串行生产线无阻塞均匀时间最优控制[J].武汉科技学院学报,1997,10(2)：22-28.
[153]刘洪伟.一类DEDS的稳定性与最优控制[J].广东工学院学报,1995.6(12).
[154]赵正义,宋文忠.一类DEDS状态反馈控制器综合的新方法[J].自动化学报,1996.9(22).
[155]张蕾.基于极大代数的航班调度研究[D].中国民航大学,2008.4
[156]郭彩芬,王宁生.串行生产线生产率的最优控制[J].机械科学与技术,2005.4(24).
[157]李勇建,涂奉生,贾春福.循环排队网络的极大代数描述、稳定性与扰动分析[J].控制理论与应用,2002.8(19).
[158]张仁忠,肖亚奇,葛锦辉.在极大代数意义下矩阵相关运算的机器实现[J].通化师范学院学报,2003.7(24).
[159]李爱菊,唐祯敏.基于极大代数的串行生产线相关运算的Mat lab实现[J].铁路计算机应用,2007.2(16).
[160]张仁忠,肖亚奇,葛锦辉.在极大代数意义下矩阵相关运算的机器实现[J].通化师范学院学报,2003.7(24).
[162]闫志鹏.地铁列车仿真系统研究[D].北京交通大学,2006.12.
[163]张杰,吕红霞,常军乾,谷君.基于网络数据库列车运行图体系结构研究[J].铁道运输与经济,2002,24(12)：26-28.
[164]吕红霞,杨明伦.全国铁路列车运行图系统数据量分析及其内存管理研究[J].铁道运输与经济,2002,24(5)：43-44.
[165]张巍.全国铁路路网信息查询程序设计技术[J].铁道运输与经济,2003,25(12)：34-35.
[167]中华人民共和国建设部.GB50157-2003地铁设计规范[S].北京,2003.5
[168]陈方红,张成.城市轨道交通客流预测结果分析[J].铁道运输与经济,2007,29(6)：50-52.
[169]毛保华.城市轨道交通规划与设计[M].北京：人民交通出版社,2006.
[170]张国宝,于涛.关于城轨列车折返能力计算与加强的研究[J].都市快轨交通,2006,19(4)
[171]张国宝,刘明姝,徐瑞华.城市轨道列车在中间站折返时的通过能力适应性分析[J].城市轨道交通研究,2005.6
[172]张国宝.城市轨道交通运营组织,[M].上海：上海科学技术出版社,2006.8.
[173]北京市轨道交通指挥中心.北京轨道交通列车运行图编制相关规定,[Z].2009.8
[174]田福生.城市轨道交通行车组织的相关问题研究,[D].西南交通大学,2006.3
[175]王治卿.集约型一体化管理体系创建与实践,[M].北京：中国石化出版社,2010.9
[176]M. Schroder,I. Solchenbach. Optimization of Transfer Quality in Regional Public Transit, [R].Berichte des Fraunhofer-Instituts fur Technound Wirtschaftsmathematik(ITWM Report), December 8,2005
[178]张仁忠.多入口串行生产线的最优节奏控制[J].通化师院学报(自然科学),1996.4
[179]张仁忠,陈文德.多入口多出口串行生产线的最优节奏控制[J].系统科学与数学,2004,24(1)：1-9.
[180]于书敏,张仁忠.带缓冲器的多入口多出口串行生产线的无阻塞最优控制[J].哈尔滨师范大学自然科学学报,2000.16(3).
[181]毛保华.城市轨道交通系统运营管理[M].北京：人民交通出版社,2006.
[182]Cury, J. E., Gomide, F. A., & Mendes, M. J. (1980). A methodology for generation of optimal schedules for an underground railway system,[J]..IEEE Transactions on Automatic Control,25(2),217-222.
[183]Van Breusegem, V., Campion, G., & Bastin, G. (1991). Traffic modeling and state feedback control for metro lines,[J]. IEEE Transactions on Automatic Control,36(7),770-784.
[184]Kittelson & Associates.United States. Federal Transit Administration,Transit Cooperative Research Program,Transit Development Corporation,National Research Council (U.S.). Transportation Research Board.Transit capacity quality of service manual 2nd edition.[M].2003
[2]陶志祥,张宁,杜波.城市轨道交通客流时空分析研究,[J].城市公共交通,2004,2：33-35.
[3]过秀成,王炜,吕慎.基于合作竞争类OD的轨道客流预测方法研究[J].公路交通科技,2000,17(4)：57-63.
[4过秀成,吕慎.基于合作竞争类OD联合方式划分轨道客流分配模型,[J].中国公路学报,2000,13(4)：91-94.
[5]四兵锋,毛保华,刘智丽.无缝换乘条件下城市轨道交通网络客流分配模型及算法[J].铁道学报,2007,29(6)：12-18.
[6]吴祥云,刘灿齐.轨道交通客流量均衡分配模型与算法,[J].同济大学学报(自然科学版),2004,32(9)：1158-1163.
[7]石小法,于炜.高度信息化条件下的动态配流模型,[J].东南大学学报,2001,31(2)：91-93.
[8]杜文,林淑容,周贤伟.系统最优的动态交通网络流分配模型的分批并行算法[J].西南交通大学学报,2001,36(5)：453-456.
[9]谢亚伟.基于网络均衡的运输通道客流分配模型[J].公路交通科技,2006,23(5)：143-146.
[10]孔繁钰,李献忠.弹性需求下的轨道交通客流分配模型和算法[J].西安工程大学学报,2008,22(1).
[11]Cominetti, R., Correa, J. Common-lines and passenger assignment in congested transit networks, [J]. Transportation Science,2001,35 (3):250-267.
[12]Nguyen, S., Pallottino, S. Equilibrium traffic assignment for large scale transit networks,[J]. European Journal of Operational Research,1988,37:176-186.
[13]Spiess, H., Florian,M. Optimal strategies:A new assignment model for transit networks,[J]. Trans portation Research-Part B,1989,23 (2),83-102.
[14]de Cea, J., Fernandez, E. Transit assignment for congested public transport systems:An equilibrium model,[J]. Transportation Science,1993,27 (2),133-147.
[15]Wu, J.H., Florian,M.. A simplicial decomposition method for the transit equilibrium assignment problem,[C]. Annals of Operations Research,1993,44:245-260.
[16]Wu, J.H., Florian, M., Marcotte, P.. Transit equilibrium assignment:A model and solution algorithms,[J]. Transportation Science,1994,28 (3):193-203.
[17]Nielsen,O.A.. A stochastic transit assignmentmodel considering differences in passengers utilityfunctions,[J]. Transportation Research-Part B,2000,34:377-402.
[18]Nielsen, O.A.. A large scale stochastic multi-class schedule-based transit model with random coefficients,[C]. In:Wilson, N.H.M., Nuzzolo, A. (Eds.), Schedule-Based Dynamic TransitModeling:Theoryand Applications. Kluwer Academic, Boston,2004:53-77.
[19]Nuzzulo, A.Transit path choice and assignment model approaches, [C]. In:Lam, W.H.K., Bell,M.G.H. (Eds.), Advanced Modeling for Transit Operations and Service Planning. Pergamon, Amsterdam,2003:93-124.
[20]Nuzzulo, A., Russo, F., Crisalli, U.. A doubly dynamic schedule-based assignment model fortransit networks,[J]. Transportation Science.2001,35 (3),268-285.
[21]Poon, M.H., Wong, S.C., Tong, C.O.A dynamic schedule-based model for congested transitnetworks,[J]. Transportation Research-Part B,2004,38(4):343-368.
[22]Tong, C.O., Wong, S.C.. A stochastic transit assignment model using a dynamic schedule-based network,[J]. Transportation Research-Part B,1999 (33):107-121.
[23]孙焰,施其洲,赵源,孔庆瑜.城市轨道交通列车开行方案的确定[J].同济大学学报,2004(8)：1005-1008,1014.
[24]林震,杨浩.城市轨道交通发车间距优化模型探讨[J].土木工程学报,2003(1)：1-5.
[25]严波.城市轨道交通行车间隔时间优化模型研究[J].城市轨道交通研究,2008.6.
[26]Ozgiir Yale mkaya, G. Mirac Bayhan.Modelling and optimization of average travel time for a metro line bysimulation and response surface methodology,[J].European Journal of Operational Research 2009,196:225-23
[27]房霄虹.城市轨道交通网络化协调运营理论及方法研究[D].北京交通大学.
[28]Ceder, A.Bus frequency determination using passenger count data,[J]. Transportation Research Part A,1984,18:439-453.
[29]Scheele, S.. A supply model for public transit services. Transportation ResearchPart B 1980,(14):133-146.
[30]Furth, P.G.,Wilson, N.H.M.. Setting frequencies on bus routes:Theory and practice,[J]. Transportation Research Record,1982,818:1-7.
[31]Koutsopoulos, H.N., Odoni, A., Wilson, N.H.M. Determination of headways as a function oftime varying characteristics on a transit network, [C]. In:Rousseau, J.M. (Ed.), Computer Scheduling ofPublic Transport 2. North-Holland, Amsterdam,1985:391-414.
[32]Gao, Z., Sun, H., Shan, L.L.. A continuous equilibrium network design model and algorithm fortransit systems,[J]. Transportation Research-Part B,2004,38(3):235-250
[33]Claessens, M.T., van Dijk, N.M., Zwaneveld, P.J. Cost optimal allocation of passenger lines,[J].European Journal of Operational Research1998,110:474-489.
[34]Goossens, J.H.M., van Hoesel, C.P.M., Kroon, L.G.. A branch-and-cut approach for solvingrailway line-planning problems,[J]. Transportation Science 2004,38:379-393.
[35]Goossens, J.H.M., van Hoesel, C.P.M., Kroon, L.G.. On solving multi-type railway line planningproblems,[J]. European Journal of Operational Research,2005(168):403-424.
[36]马建军,胡思继,许红.基于京沪高速铁路运行图的高速路网理论研究[J].铁道学报,2002,24(3)：1-4.
[37]马建军,胡思继.网状线路列车运行图实验平台基础理论的研究[J].北方交通人学学报,2002,26(5)：9-18.
[38]马建军.基于网状线路的京沪高速铁路列车运行图编制理论的研究,[D].北京交通大学,2002.2.
[39]胡思继.列车运行图编制理论,[M].北京：中国铁道出版社,2007.2.
[40]周磊山,胡思继.计算机编制网状线路列车运行图方法研究,[J].铁道学报,199820(5)：15-21.
[41]彭其渊,朱松年,王培.网络列车运行图的数学模型及算法研究[J].铁道学报,2001,23(1)：1-8.
[42]彭其渊,闫海峰,石子明.计算机编制列车运行图的理论与方法[M].成都：西南交通大学出版社,2004
[43]查伟雄,熊梓林.列车区间运行时分动态特性研究[J].系统工程,2001,19(1)：47.51.
[44]Ralf Bornd orfer, Martin Gr otschel, and Marc E. Pfetsch.Models for Line Planning in Public Transport,ZIB-Report,.2004.04.COMPUTER-AIDED SYSTEMS IN PUBLIC TRANSPORT [M]. Lecture Notes in Economics and Mathematical Systems,2008,600, Part Ⅵ:363-378.
[45]Ismail Sahin. Railway traffic control and train scheduling based oninter-train conflict management,[J].Transportation Research Part B,1999,33:511-534.
[46]P. Vansteenwegen, D. Van Oudheusden.Decreasing the passenger waiting timefor an intercity rail network,[J].Transportation Research Part B 2007,41:478-492.
[47]P. Vansteenwegen, D. Van Oudheusden.Developing railway timetables which guarantee a better service,[J].European Journal of Operational Research 2006,173:337-350.
[48]Carey.M.A Model and strategy for train pathing with choice of lines, platforms, and routes[J].TransportationRes.-B.1994,28(5)333-353.
[49]Carey,M.Lockwood,D.AModel,algorithmsandstrategyfortrainpathing[J].OperationalRes.Soc. 1992,46(8):988-1005.
[50]Yu-Hern Chang,Chung-Hsing Yeh,Ching-Cheng Shen.A multiobjective model for passenger train services planning:application to Taiwan's high-speed rail line,[J].Transportation Research Part B,2000,34:91-106.
[51]Alessandro Chierici, Roberto Cordone The demand-dependent optimization ofregular train timetables,[J].Electronic Notes in Discrete Mathematics,2004,17:99-104.
[52]Hurdle, V.F..Minimum cost schedules for a public transportation route-Ⅰ,[J]. Theory. Transportation Science,1973 7 (2),109-137.
[53]Hurdle, V.F. Minimum cost schedules for a public transportation route-Ⅱ,[J]. Examples. Trans portation Science,1973,7 (2):138-157.
[54]Wirasinghe, S.C., Liu, G. (1995). Optimal schedule design for a transit route with one intermediatetime point,[J]. Transportation Planning and Technology 19,121-145.
[55]Caprara A, Fischetti M, Toth P. Modeling and solving the train timetabling problem,[J]. Oper Res,2002,50(5):851-861.
[56]Caprara A, Monaci M, Toth P, Guida PL. A lagrangian heuristic alogorithn for a real-world train timetabling problem,[J]. Discret Appl Math,2006,154:738-753.
[57]Cacchiani V, Caprara A, Toth P. A column generation approach to train timetabling on a corridor[J]. OR,2008,4 (6):125-142.
[58]Borndorfer R, Schlechte TModels for railway track allocation,[R]. Technical Report 07-02, Konrad-Zuse-Zentrum fur Informationstechnik Berlin.2007.
[59]Borndorfer R, Schlechte T. Solving railway track allocation problems,[R]. Technical Report 07-20,Konrad-Zuse-Zentrum fur Informationstechnik Berlin.2007.
[60]Borndorfer R, Grotschel M, Lukac S, Mitusch M, Schlechte T, Schultz S, Tanner A.An auctioning approach to railway slot allocation, [R]. Technical Report 05-45, Konrad-Zuse-Zentrum fur Informations-technik Berlin.2005.
[61]Serafini P, UkovichW A mathematical model for periodic scheduling problems,[J]. SIAM J. on Discrete Mathematics,1989,2 (4):550-581.
[62]Peeters L Cyclic railway timetable optimization, [D]. P, Erasmus Research Institute of Management.2003.
[63]J. Medanic and M.J. Dorfman. ENERGY EFFICIENT STRATEGIES FOR SCHEDULING TRAINS ON A LINE,[C].15th Triennial World Congress, Barcelona, Spain (Copyright (?) 2002 IFAC).
[64]M.J. Dorfman, J. Medanic. Scheduling trains on a railway network usinga discrete event model of railway traffic,[J]. Transportation Research Part B,2004,38:81-98,97.
[65]John S. Carson, Onala M. Atala.USING COMPUTER SIMULATION FOR RAPID TRANSIT OPERATING STRATEGIES,[C].Proceedings of the 1990 Winter Simulation Conference Osman Balci, Randall P. Sadowski, Richard E. Nance (eds.)
[66]B. De Schutter and T. van den Boom.Model predictive control for railway networks,[C]Proceedings of the 2001 IEEE/ASME International Conference onAdvanced Intelligent Mechatronics (AIM'01), Como, Italy, pp.105-110, July2001.
[67]Wa nderson O. Assis, Basi' lio E.A. Milani.Generation of optimal schedules for metro lines using modelpredictive control,[J].Automatica 40 (2004) 1397-1404.
[68]许红,马建军,龙建成.城市轨道交通列车运行图编制的数学模型及方法[J]北京交通大学学报,2006,30(3：10.14.
[69]徐瑞华,江占彬,朱效沽.城市轨道交通列车运行图计算机编制的关键问题研究[J].城市轨道交通研究,2005,(5)：30.35.
[70]江志彬,徐瑞华.计算机编制城市轨道交通共线交路列车运行图[J].同济大学学报(自然科学版),2010,(5)：38.5：692-697.
[71]高强周.城市轨道交通列车运行图设计实现与评价[D].北京交通大学,2008.11.
[72]李爱菊,唐祯敏.基于极大代数理论的城市轨道交通模型研究[J].铁道运输与经济2006.10.
[73]李爱菊.城市轨道交通系统的极大代数模型研究[D].北京交通大学,2006,12,10.
[74]R.M.P. Goverde, M.A. Odijk.Performance evaluation of network timetables using PETER,[C].Computers in Railways VIII, WIT Press, Southampton,2002.
[75]Rob M.P. Goverde.Railway timetable stability analysis using max-plus system theory[J].Transportation Research Part B 41 (2007) 179-201
[76]Rob M.P. Goverde.Punctuality of Railway Operations and Timetable Stability Analysis[D].TRAIL Thesis Series no. T2005/10, The Netherlands TRAIL Research School
[77]Rob M.P. Goverde.OPTIMAL SCHEDULING OF CONNECTIONS INRAILWAY SYSTEMS,[C].Paper prepared for the 8th WCTR, Antwerp, July,1998revised version
[78]A. Ceder, B. Golany, O. Tal.Creating bus timetables with maximal synchronization,[J].Transportation Research Part A:Policy and Practice,2001,35(10) 913-928
[79]Avishai Ceder and Ofer Tal. Designing Synchronization into Bus Timetables,[J]. Transportation Research Record,1998,1760:28-34.
[80]Yuval Hadas, Avishai Ceder.PublicTransit Simulation Model for Optimal Synchronized Transfers,[J].Transportation Research Record:Journal of the Transportation Research Board,2008,(2063):52-59.
[81]Salzborn, F.J.M. Scheduling bus systems with interchanges,[J]. Transportation Science 198014 (3):211-220.
[82]Rachel C.W. Wong, Janny M.Y. Leung. Timetable Synchronization for Mass Transit Railway [C].In Proceedings of the 9th International Conference on Computer-Aided Scheduling of Public Transport (CASPT)
[83]Knoppers, P., Muller, T. Optimized transfer opportunities in public transport,[J]. Transportation Science 1995,29 (1),101-105.
[84]Bookbinder, J.H., Desilets, A. (). Transfer optimization in a transit network,[J]. Transportation Science 1992,26 (2),106-118.
[85]Chung Min Kwan and C. S. Chang.Timetable Synchronization of Mass Rapid TransitSystem Using Multi-objective Evolutionary Approach,[C].IEEE TRANSACTIONS on SYSTEMS, MAN, AND CYBERNETICS—PART C:APPLICATIONS AND REVIEWS,2008,38(5):636-648.
[86]Albert Ang, Michael McIvor.Optimal Public-Transport Transfer Synchronization Using Operational Tactics, [C].Proceedings of the 45thAnnual Conference of the ORSNZ,2010.11.
[87]Dusan Teodorovi6,Panta Lucic.Schedule synchronization in public transit using the fuzzy ant system[J].Transportation Planning and Technology,2005,28(1):47-76.
[88]Chien, S. and Chowdhury, M. Scheduling of Coordinated Transfers for PublicTransit Services,[R]. The office of Sponsored Program, New Jersey Institute of Technology, Final Report. 1997.
[89]Md. Shoaib Chowdhury, and Steven I-Jy Chien.Optimization of Transfer Coordination For Intermodal Transit Networks,[C]. Transportation Research Board 80th Annual Meeting, 2001,1:7-11,.
[90]Fang Zhao, Xiaogang Zeng. Optimization of transit route network, vehicle headwaysand timetables for large-scale transit networks,[J].European Journal of Operational Research, 2008,186:841-855.
[91]Fleurent, C., Lessard, R., Seguin, L.,2004. Transit timetable synchronization:evaluation and optimization, [C]. In:Proceedings of the Ninth InternationalConference on Computer-Aided Scheduling of Public Transport (CASPT), San Diego, California.
[92]诸葛恒英.北京城市轨道交通换乘效率研究,[D].北京交通大学,2007,6.
[93]张铭,徐瑞华.轨道交通网络列车衔接组织的递阶协调优化[J].系统工程,2007,25(9)：.33-37.
[94]周艳芳,周磊山,乐逸祥.城市轨道网络换乘站列车衔接同步协调优化研究,[J].铁道学报,2011,33(3)：9-16.
[95]徐瑞华,张铭,江志彬.基于线网运营协调的城市轨道交通首末班列车发车时间域研究,[J].铁道学报,2008,30(2)：7-11.
[96]Giuseppe Bruno, Gennaro Improta, Antonino Sgalambro. Optimization of the Departure Schedule at a Public TransitTerminal with Multiple Destinations,[J].MISTA 2007,104-111.
[97]陈玲玲,王慈光.基于旅客列车合理接续条件的发车时刻确定方法[J].西南交通大学学报,2007.42(2)：234-237.
[98]陈团生,毛保华,何宇强.旅客列车发车时间域优化研究[J].铁道学报,2006,28(4)：12-16.
[99]周小棋,郭富娥.计算机辅助编制旅客列车运行图的研究[J].铁道学报.1992.014(003)65-71.
[100]郭富娥.日本近期开发的列车运行图编制系统[J].中国铁路.1995.000(008)38-40.
[101]郭富娥.利用电子计算机编制列车运行图[J].铁道运输与经济.1992.(1)27-29.
[102]郭富娥.计算机编制双线列车运行图的研究[J].铁道运输与经济.1998.020(005)26-27.
[103]铁道科学研究院.计算机辅助编制全路直通客车方案研究报告[R].北京.1989.12.
[104]马建军,周磊山,胡思继.计算机编制网状线路列车运行图系统研究[J].铁道学报,2000,22(1)：7-11.
[105]倪少权,吕红霞,杨明伦.全路列车运行图编制系统设计的研究[J].西南交通大学学报,2003,38(3).
[107]高速铁路列车运行图自动生成及辅助决策支持子系统[R].北京交通大学,2010.5
[108]庄巍,陈永生.上海地铁列车运行图自动编制系统[J].计算机工程,2003(29)21：165-167.
[109]徐瑞华,江志彬.城轨交通列车运行图的计算机编制相关问题探讨.2004海峡两岸智能运输系统学术会议论文集.哈尔滨：哈尔滨工业大学,2004：486-490.
[110]村山一雄,邹振民.JR东日本公司的新干线综合运输管理系统(COSMOS),[J].中国铁路,2000(11).
[111]Hirao Y, Hasegawa Y. Development of a Universal Train Simulator(UTRAS) and Evaluation of Signaling Systems[J].RTRI,1995,336(4):180-185.
[112]严寒冰,刘迎春.基于GIS的城市道路网最短路径算法探讨[J].计算机学报,2000,25(3).
[113]杨新苗,王炜,马文腾.基于GIS的公交乘客出行路径选择模型[J].东南大学学报(自然科学版),2000,30(6)：87-91.
[114]傅冬绵.交通系统中最少换乘算法及其实现[J].华侨大学学报(自然科学版),2001,22(4)：348-350.
[115]LO HK, YIP CW, WAN KH.Modeling transfer and non-linear fare structure in multi-modal network[J].Transportation ResearchPart B,2003,37:149-170.
[116]赵巧霞,马志强,张发.以最小换乘次数和站数为目标的公交出行算法[J].计算机应用,2004,24(12)：136-137,146.
[117]朱江云,王玉琨.基于最小换乘次数的最优路径算法[J].福建电脑,2007(3)：121-122.
[118]姜帆.城市轨道交通与其它交通方式衔接的研究[J].北方交通大学学报,2001,25(4)：108-110.
[119]王志臣,王丽娟,高峰.城市轨道交通换乘效率评价[J].铁道运输与经济,2007,30(1)：74-76.
[120]吴其刚,刘澜.基于信息颗粒的城市轨道交通换乘枢纽评价研究[J].城市轨道交通研究,2008(11)：21-23,56.
[121]吕欣,李勇,邓宏钟,谭跃进.基于节点合并的最短路问题新算法[J].小型微型计算机系统,2009,30(4)：695-670.
[122]程乾生.有序样品聚类的差异序列法[J].北京大学学报(自然科学版),1993,29(5)：545-551.
[123]程乾生.一种新的样品聚类方法——差异序列法[J].科学通报,1994,39(2)：97-99.
[124]王传玉.有序样品聚类的全差异矩阵法[J].安徽工程科技学院学报,2003,18(1)：36-38.
[125]孙林祥.地铁运行发车间隔和旅行速度指标下降的分析[J].都市快轨交通,2007.4
[126]洪玲,陈菁菁,徐瑞华.市域快速轨道交通线行车间隔优化问题研究[J].城市轨道交通研究,2006.3.
[127]Yusin Lee a,Chuen-Yih Chen.A heuristic for the train pathing and timetabling problem [J].Transportation Research Part B 43 (2009) 837-851.
[128]WILLIAM H K, LAM, ChEUNG Chung Y. A study of crowding effects at the Hong Kong light rail transitstations,[J]. Transportation Research Part A,1999, (33):401-415.
[129]Newell G F. Dispatching policies for a transportation route[J]. Transportation Science, 1971,5:91-105.
[130]王顺久,侯玉,丁晶,张欣莉.交互式多目标决策新方法及其在水资源系统规划中的应用[J].水科学进展,2003,7(4)：476-479.
[131]张欣莉.基于目标满意度的交互式多目标决策改进方法[J].系统工程,2004年9月,第22卷第9期(总第129期).
[132]蒋尚华,徐南荣.基于目标达成度和目标综合度的交互式多目标决策方法[J].系统工程理论与实践,1999,(1)：9-14.
[133]徐泽水.一种基于目标贴近度的多目标决策方法[J].系统工程理论与实践,2001,(9)：101-104.
[134]徐泽水.一种交互式多目标决策新方法[J].系统工程理论与实践,2002,(2)：104-108.
[135]王建群,叶秉如.一种交互式多目标决策方法及其应用[J].水科学进展,1996,7(1)：60-65.
[136]Marta Flamini, Dario Pacciarelli. Real time management of a metro rail terminus [J].European Journal of Operational Research 2008,189:746-761.
[137]Hon Wai Chun.TRAIN TIMETABLE AND ROUTE GENERATION USING A CONSTRAINT-BASED APPROACH, [C].Proceedings of the Tenth International Conference on Industrial & Engineering Applications of Artificial Intelligence & Expert Systems,Atlanta, June,1997.
[138]M. Ghantous-Mouawad, W.Schon, J.L.Boulanger,G.Churchill.Line 1 Automation Project: from Manual Train Driving to a Driverless Operation, [C]. IEEE/IET Electronic Library (IEL),IBM Journal of Research and Development, VDE VERLAG Conference Proceedings.
[139]M,Ghantous-Mouawad,Walter Schon,Jean-Louis Boulanger and Gerald Churchill. Converting a conventional metro line into automated operation:identifying and managing the safety process of the traffic in migration phase,[].IET System Safety,2006:217-226.
[140]John S.Carson,Onala M.Atala.USING COMPUTER SIMULATION FOR RAPID TRANSIT OPERATING STRATEGIES,[C].Proceedings of the 1990 Winter Simulation Conference Osman Balci, Randall P. Sadowski, Richard E. Nance (eds.).
[141]Marie Schmidt,Anita Schobel.The Complexity of Integrating Routing Decisions in Public Transportation Models, [C].10thWorkshop on Algorithmic Approaches for Transportation Modelling,Optimization, and Systems (ATMOS'10):156-169.
[142]何静,司宝华,陈颖雪.城市轨道交通线路与站场设计[M].北京：中国铁道出版社,2010.
[143]中华人民共和国建设部.GB50157-2003地铁设计规范[S].北京,2003.5.
[144]王粉线,汪履直.城市轨道交通车辆段出入段线的设置[J].现代城市轨道交通2006.2
[145]G.Cohen et al.A Linear-System-Theoretic View of Discrete-Event Processes and Its Use for Performance Evaluation in Manufacturing [J]. IEEE Trans,1985,30 (3):210-220.
[146]郑大钟,赵千川.离散事件动态系统[M].北京：清华大学出版社,2001.
[147]沈景清.对串行生产线极大代数方法建模的一点注记[J].通化师范学院学报,2001.4(22).
[148]陈文德.串行生产线无阻塞最优控制与调度[J].控制与决策,1990,13(11)：374-377.
[149]戴志勇,赵臻.一类DEDS模型的快速解法和它的某些动态特性参数的计算[C].《1994中国控制与决策学术年会论文集》
[150]刘长有,赵拥军.基于极大代数的航班离港过程分析[J].中国民航大学学报,2009.2(27).
[151]张益群,杨球.一类离散事件动态系统的最优控制与调度[J].武汉理工大学学报,2007.8(29).
[152]马俊,戴志勇.串行生产线无阻塞均匀时间最优控制[J].武汉科技学院学报,1997,10(2)：22-28.
[153]刘洪伟.一类DEDS的稳定性与最优控制[J].广东工学院学报,1995.6(12).
[154]赵正义,宋文忠.一类DEDS状态反馈控制器综合的新方法[J].自动化学报,1996.9(22).
[155]张蕾.基于极大代数的航班调度研究[D].中国民航大学,2008.4
[156]郭彩芬,王宁生.串行生产线生产率的最优控制[J].机械科学与技术,2005.4(24).
[157]李勇建,涂奉生,贾春福.循环排队网络的极大代数描述、稳定性与扰动分析[J].控制理论与应用,2002.8(19).
[158]张仁忠,肖亚奇,葛锦辉.在极大代数意义下矩阵相关运算的机器实现[J].通化师范学院学报,2003.7(24).
[159]李爱菊,唐祯敏.基于极大代数的串行生产线相关运算的Mat lab实现[J].铁路计算机应用,2007.2(16).
[160]张仁忠,肖亚奇,葛锦辉.在极大代数意义下矩阵相关运算的机器实现[J].通化师范学院学报,2003.7(24).
[162]闫志鹏.地铁列车仿真系统研究[D].北京交通大学,2006.12.
[163]张杰,吕红霞,常军乾,谷君.基于网络数据库列车运行图体系结构研究[J].铁道运输与经济,2002,24(12)：26-28.
[164]吕红霞,杨明伦.全国铁路列车运行图系统数据量分析及其内存管理研究[J].铁道运输与经济,2002,24(5)：43-44.
[165]张巍.全国铁路路网信息查询程序设计技术[J].铁道运输与经济,2003,25(12)：34-35.
[167]中华人民共和国建设部.GB50157-2003地铁设计规范[S].北京,2003.5
[168]陈方红,张成.城市轨道交通客流预测结果分析[J].铁道运输与经济,2007,29(6)：50-52.
[169]毛保华.城市轨道交通规划与设计[M].北京：人民交通出版社,2006.
[170]张国宝,于涛.关于城轨列车折返能力计算与加强的研究[J].都市快轨交通,2006,19(4)
[171]张国宝,刘明姝,徐瑞华.城市轨道列车在中间站折返时的通过能力适应性分析[J].城市轨道交通研究,2005.6
[172]张国宝.城市轨道交通运营组织,[M].上海：上海科学技术出版社,2006.8.
[173]北京市轨道交通指挥中心.北京轨道交通列车运行图编制相关规定,[Z].2009.8
[174]田福生.城市轨道交通行车组织的相关问题研究,[D].西南交通大学,2006.3
[175]王治卿.集约型一体化管理体系创建与实践,[M].北京：中国石化出版社,2010.9
[176]M. Schroder,I. Solchenbach. Optimization of Transfer Quality in Regional Public Transit, [R].Berichte des Fraunhofer-Instituts fur Technound Wirtschaftsmathematik(ITWM Report), December 8,2005
[178]张仁忠.多入口串行生产线的最优节奏控制[J].通化师院学报(自然科学),1996.4
[179]张仁忠,陈文德.多入口多出口串行生产线的最优节奏控制[J].系统科学与数学,2004,24(1)：1-9.
[180]于书敏,张仁忠.带缓冲器的多入口多出口串行生产线的无阻塞最优控制[J].哈尔滨师范大学自然科学学报,2000.16(3).
[181]毛保华.城市轨道交通系统运营管理[M].北京：人民交通出版社,2006.
[182]Cury, J. E., Gomide, F. A., & Mendes, M. J. (1980). A methodology for generation of optimal schedules for an underground railway system,[J]..IEEE Transactions on Automatic Control,25(2),217-222.
[183]Van Breusegem, V., Campion, G., & Bastin, G. (1991). Traffic modeling and state feedback control for metro lines,[J]. IEEE Transactions on Automatic Control,36(7),770-784.
[184]Kittelson & Associates.United States. Federal Transit Administration,Transit Cooperative Research Program,Transit Development Corporation,National Research Council (U.S.). Transportation Research Board.Transit capacity quality of service manual 2nd edition.[M].2003