高速铁路能力计算与评估之理论与方法研究
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摘要
铁路能力不仅是运输资源配置的基本条件,也是评价资源运用状况的重要指标;铁路能力计算&评估是一个比较经典的研究课题,具有一定的学术研究意义及实践应用价值。本文系统的分析评述国内外关于铁路能力计算&评估的理论与方法的主要发展脉络及发展趋势;针对能力计算准确性不尽如人意的现实问题,充分把握铁路能力的动态性和不确定性等特征,从基础设施物理拓扑结构——旅客市场需求——时刻表规划角度提出高速铁路列车服务——需求意向集合,以完成给定时间内列车服务——需求意向集合(TSDIS)所需占用基础设施时间为目标更新能力的衡量标准,构建时刻表规划阶段无运行图条件下高速铁路车站节点、线路和路网的能力计算与评估框架体系,提出相应的能力计算与评估的策略和方法,并给出具体的算法与案例应用,探讨优化的使用方式下高速铁路基础设施能力计算&评估之理论&方法。
     本篇论文主要研究工作与创新点归纳总结如下:
     1、提出了铁路能力计算&评估衡量的新标准
     本篇论文根据能力的动态性和不确定性特征,依据高速铁路车站、线路、路网特点及其所服务的客流特征,结合不同时段作业要求,探讨从基础设施物理拓扑结构——旅客市场需求——时刻表规划角度定义高速铁路列车服务——需求意向集合(TSDIS),以完成特定的列车服务——需求意向集合(TSDIS)所需的基础设施占用时间作为衡量高速铁路能力的新标准。基于不同场景与条件,将高速铁路能力划分为基础能力、现实能力、可开发能力。
     2、高速铁路能力计算&评估相关基础时间项的研究总结
     铁路基础设施能力的影响因素众多,但大多影响结果最终都体现在时间维。本篇论文分析了列车运行的静态描述与动态过程,总结分析了闭塞时间与基础设施占用时间、间隔时间与最小间隔时间、缓冲时间及维修时间,改变目前铁路能力的单纯刚性计算而加入柔性分析,提高能力计算&评估结果的可信度与准确性。
     3、混合类型条件下高速铁路列车运行计划的综合平衡分析
     列车运行计划决定了铁路基础设施的使用方式,论文研究了在混合交通流条件下列车数、平均速度、稳定性、异质性及其相互影响关系,提出了Pareto最优状态下列车运行计划的综合平衡思想,以Pareto最优条件下的异质性数值作为铁路能力计算与评估、列车运行计划编制与评价的基本标准依据。
     4、高速铁路能力计算&评估方法研究及案例应用
     根据客流时空分布规律,从客流市场需求的角度,基于一定的服务质量要求,构建了一定服务质量条件下的高速铁路能力计算与评估体系。
     (1)高速铁路车站能力计算&评估方法研究及案例应用
     根据高速铁路车站自身特点及其所服务的客流特征,结合不同时段作业要求,定义并构建各时段特定场景的列车服务——需求意向集合t@s-tsdis,总结分析了几种高速铁路车站能力计算与评估策略,并提出总体层——局部层的双层模型体系计算&评估高速铁路车站能力,应用于某高速铁路车站BJSS,运用双层模型体系,在总体层得出了某时段BJSS站t@s-tsdis任务列表中列车占用车站股道的优化时序,并通过局部层的检验最终得出了完成BJSS站t@s-tsdis任务列表所需的时间(即BJSS站的时段能力),并指出BJSS站能力瓶颈所在。
     (2)高速铁路线路能力计算&评估方法研究及案例应用
     依据UIC406能力手册,将列车数、平均速度、异质性及稳定性作为能力使用的核心元素,定义了高速铁路线路列车服务——需求意向集t@l-tsdis,兼顾运输服务质量与铁路运营效益,构建多目标(最小化异质性、最大化可靠性、最小化运行时间)优化的高速铁路线路能力计算与评估模型(Mathematical Program for Line Capacity, MPLC),给出了MPLC以问题为导向的带约束的多目标滚动优化的模型求解算法(改进的Pareto存档进化策略与交互法相结合),并将模型与算法应用于京沪高速铁路线路能力计算与评估。
     我国高速铁路线路可分为城际型、通道型、网络末端型,本文提出的高速铁路线路能力计算与评估的模型与算法不仅适用于京沪线这种通道型的,也同样适用于城际型及网络末端型高速铁路线路的能力计算与评估。
     (3)高速铁路路网能力计算&评估
     探讨了高速铁路列车服务网络设计问题,分析了网络化条件下轨道交通系统的能力,提出了高速铁路网络服务质量框架体系及高速铁路网络能力计算与评估的基本思路;针对高速铁路网是一个多级递阶控制系统的特点,分析了高速铁路的网络效应。
The railway capacity is not only the primary condition for the allocation of the railway resource, but also a key index for the evaluation of its usage. Calculation&evaluation of the railway capacity is a classic research topic, which implies the meaning for the academic research and the value for its application in the practice. This thesis analyses and evaluates the main development procedure of the theory&method for the calculation&evaluation of the railway capacity, including its trend of development. Aiming at the unsatisfied problem on the precision of the capacity calculation, grasping the characteristic of the dynamics and uncertainty of the railway capacity, from the angel of the topology of the physical infrastructure-passenger demand-timetable planning, this thesis proposes the high speed railway train service-demand intention set (TSDIS) and regards the time needed to complete the given TSDIS set as the updated criteria for the railway capacity. It builds the framework for the station\line\network of the high speed railway in the timetable planning phase and puts forward the corresponding strategy and methodology for the calculation&evaluation of the railway capacity, which are demonstrated in the application of the case. It explores the theory&method for the calculation&evaluation of the high speed railway infrastructure which is in the way of optimized usage.
     The main contents of the thesis are summarized as following:
     1.The updated criteria of the raiway capacity for its calculation&evaluation
     According to the dynamics and uncertainty of the railway capacity and the characteristics of the passenger served by the station\line\network, combined with the railway operation requirement, from the angel of the topology of the physical infrastructure-passenger demand-timetable planning, this thesis defines the high speed railway train service-demand intention set (TSDIS) and takes the the time needed to complete the given TSDIS set as the updated criteria for the railway capacity. The railway capacity is classified as the basic capacity, the practical capacity and the developable capacity.
     2.The basic empirical theory on the calculation&evaluation of the high speed railway capacity.
     The railway capacity is effected by many factors, most of which embody on the time dimension. This thesis analyses the static description and the dynamic procedure of the train operation and summarises the blocking time&the occupation time of the infrastructure\the time interval&the minimum time interval\buffer time and the repair time, which introduce the flexible analysis changing the way of the current simpe rigid caluation of the railway capacity so as to improve its reliability and precision.
     3. Analysis on comprehensive balance of the train operation plan for the high speed railway under mixed traffic condition
     The train operation plan determines the usage of the railway infrastructure. This thesis analyses the number of trains\average speed\stability\heterogeneity and their mutual relationship. It proposes the idea of the comprehensive balance of the train operation plan under the Pareto optimum and takes the heterogeneity as the basic criteria for the railway capacity calculation&evaluation and the formation&evaluation of the train operation plan.
     4. The methodology on the calculation&evaluation for the high speed railway capacity
     Based on the temporal and spacial distribution characteristics of the passenger, from passenger market demand, this thesis builds the system of the high railway capacity calculation&evaluation under a certain service level.
     (1) The methodology on the calculation&evaluation for the high speed railway station
     According to the characteristics of the high speed railway station and the passengers it serves, combined with the raiway operation requirement in different temporal phrase, it defines the train service-demand intention set at station (t@s-tsdis), and it summarises some kinds of strategies for the calculation&evaluation of the high speed railway station. Also, it proposes the general layout level-regional layout level model system which is put into the application of the certaion high speed railway station BJSS. Taking advantage of the bilevel model system, it obtains the optimized trains occupation sequence on the station tracks for the BJSS list t@s-tsdis. By checking in the regional layout level, it achieves the time needed to complete the BJSS list t@s-tsdis (namely the temporal capacity of BJSS), and it gives out the bottleneck of the BJSS station.
     (2) The methodology on the calculation&evaluation for the high speed railway line
     According to the UIC406capacity leaflet, the number of trains, the average speed, the heterogeneity and the stability are regarded as the core elements of the capacity usage. This thesis defines the train service-demand intention set at the high speed railway line (t@l-tsdis). Considering both the train service quality and the benefit of the railway operation, it builds the multi-objectives (minimization of the heterogeneity, maximization of the reliability, minimization of the operation time) Mathematical Program for Line Capacity (MPLC) and gives out the problem-oriented rolling optimized solution method for the multi-objectives model with constraints (the combination of the improved Pareto Archived Evolution Strategy and the interaction method).The model and its solution method are applied on the Jing-Hu high speed railway.
     The Chinese high speed railway can be classified as the type of intercity (such as Beijing-Tian, Shanghai-Hangzhou, etc), the type of channels (such as Beijing-Shanghai, Harbin-Dalian, etc), the type of network end (such as Xi'an-Lanzhou, Chongqing-Chengdu, etc).The model and its solution methods are adaptable to each of these kins of high speed railway lines.
     (3) The methodology on the calculation&evaluation for the high speed railway network
     This thesis discusses the design of the service network for the high speed railway and analyses the rail capacity under the condition of the network. It also proposes the system of the service quality framework and the basic mindmap for the high speed railway network. According to the characteristics of the multi-level control system of the railway network, it analyses the network effects of the high speed railway.
引文
[1][朴爱华,高速铁路运行组织优化问题的研究[D],北方交通大学,1996
    [2]胡安洲,杨浩.关于铁路运输问题的系列研究[J].铁道经济研究,1994,(1)
    [3]刘仍奎,评价车站系统能力协调的新方法[J],北方交通大学学报,1994,18(4):459-463.
    [4]张星臣.铁路运营线路能力储备问题的研究[D].北京交通大学,1995
    [5]徐瑞华.铁路运输能力利用问题研究[D].北京交通大学,1995
    [6]雷中林,铁路网系统运输能力可靠性研究[D],北京交通大学,2006
    [7]刘澜,王南,杜文,车站咽喉通过能力网络优化模型及算法研究[J].铁道学报,2002,24(6):1:5.
    [8]徐杰,杜文,区段站阶段计划自动编制模型和算法研究[J],中国铁道科学,2004,12:134-136
    [9]史峰,谢楚农,于桂芳,铁路车站咽喉区进路排列优化方法[J].铁道学报,2004,26(4):5-11.
    [10]杜彦华,刘春煌,层次扩展模糊时间Petri网及车站通过能力评定[J].系统仿真学报,2005,10:178-183.
    [11]文东,客运专线车站通过能力研究[D],西南交通大学,2006.
    [12]赵明,移动自动闭塞系统基本理论研究[D],北方交通大学,1996
    [13]刘英,移动自动闭塞条件下的能力利用分析[D],北方交通大学,1998
    [14]Malin Forsgren, Computation of capacity on railway networks, Master of Science Project Report,2003
    [15]Schwanhauβer,W.,The Status of German Railway Operations Management in Research and Practice[J], Transportation Research Part A, vol.28, no.6, pp.495-500,1994
    [16]O.Lindfeldt, Impact of Infrastructure, Timetable and Perturbations in Operation of Double-Track Railway Lines with Mixed Traffic,12th WCTR, July 11-15,2010-Lisbon, Portugal
    [17]Malin Forsgren, Computation of capacity on railway networks, Master of Science Project Report,2003
    [18]Robert-Jan van Egmond. Railway Capacity Assessment, an Algebraic Approach. Number S99/2 in TRAIL Studies in Transportation Science, Delft University Press, Delft, the Nehterlands, July 1999
    [19]Kettner, M. & Sewcyk.B., Integrating microscopic and macroscopic models for railway network evaluation, Proceedings of the European Transport Conference, European Transport Conference, Strasbourg, France 2002
    [20]中国铁道百科全书——通信与信号,中国铁道出版社,2003
    [21]Leaflet UIC406-Capacity [M], International Union of railways (UIC), Paris,2004, ISBN-7461-0862-X
    [22][Landex, A., kaas, A.H., Schittenhelm, B. & Schneider-Tilli, J., Evaluation of railway capacity [J], Proceedings of the Annual Transport Conference at Aalborg University, Denmark, 2006
    [23]Landex, A. & Schittenhelm, B., Measurements of Railway Capacity Utilization [J], Transportmetrica,2008
    [24]Burdett, Robert L. and Kozan, Erhan(2006), Techniques for absolute capacity determination in railways, Transportation Research Part B:Methodological 40(8):pp.616-632
    [25]中国铁道百科全书——运输与经济,中国铁道出版社,2001
    [26]Alex Landex, Capacity Statement for Railways, Annual Transport Conference at Aalborg University 2007.
    [27]Harald Krueger, Parametric modeling in railway capacity planning, Proceedings of the 1999 Winter Simulation Conference,1194-1200
    [28]刘海东,基于准移动闭塞方式的铁路区间信号布置模型及优化算法研究[D],北京交通大学,2010
    [29]黄玲颖,客运专线客流节点聚类与换乘协调研究,北京交通大学,2008
    [30]何华武,中国铁路既有线200km/h等级提速技术,中国铁道出版社,2007
    [31]Peter van Reeven, State of the art in railway infrastructure capacity and access management, April 2002
    [32]王素姣,客运专线列车运行控制系统,铁道标准设计,2007(8):101-103
    [33]Sebastian Georg Klabes. Algorithmic railway capacity allocation in a competitive European railway market, PhD thesis, RWTH, Aachen,2010
    [34]吴亮,高速客运专线的追踪间隔与控制模型计算[J],计算机应用,2007,27(11):2643-2645
    [35]刘海东,毛保华,不同闭塞方式下城轨列车追踪运行过程及仿真系统研究,铁道学报,2005,27(2):120-125
    [36]石先明,我国客运专线列车追踪间隔时分的研究,中国铁路,2005,5:32-38
    [37]潘登,郑应平,铁路移动闭塞系统列车追踪运行的安全间隔[J],同济大学学报,2008,36(9):1-6
    [38]M. Abril, an Assessment of Railway Capacity, Transportation Research Part E:Logistics and Transportation Review Volume 44, Issue 5, September 2008, Pages 774-806
    [39]路飞,基于移动闭塞原理的地铁列车追踪运行控制研究,系统仿真学报
    [40]纪嘉伦,杨肇夏,移动闭塞方式下列午运行组织及区间通过能力计算方法探讨,铁道学报,1992,(14):38-46
    [41]李本刚,CBTC移动闭塞和准移动闭塞列车运行安全间隔时间的计算[J],铁路通信信号工程技术,2008,5(6):8-14
    [42]巴博,双线铁路列车运行图缓冲时间优化分配研究[D],西南交通大学,2008
    [43]贾文峥,毛保华,刘海东,枢纽站列车作业缓冲时间研究[J],物流技术,2009,28(12):98-102
    [44]赵鹏,高速铁路运营组织[M],中国铁道出版社,2009
    [45]Steven S. Harrod, Railway Capacity Management and Planning, Ph.D thesis, University of Cincinnati,2007
    [46]苏顺虎,田长海,客运专线通过能力的分析计算[J],中国铁道科学,2010,2008,29(5):119-127
    [47]徐行方,徐瑞华,高速客运专线列车运行组织相关问题的研究[J],同济大学学报,2003,31(5):572-575
    [48]孟令云,杨肇夏,基于列车运行线分布的客运专线列车运行图动态性能分析[J],中国铁道科学,2010,31(2):90-95
    [49]彭其渊,张羽成,列车运行图均衡性评价方法研究[J],西南交通大学学报,1998,33(4):372-377
    [50]杨帅华,郑武客运专线运输组织模式研究[D],西南交通大学,2007
    [51]A Landex, Planning the most suitable travel speed for high frequency railway lines,1 st International Seminar on Railway Operations,2005
    [52]刘澜,客运专线列车速度——间隔控制机理与计算[J],西南交通大学学报,2006、41(5):576-582
    [53]Cherng-Chwan HWANG, etc, A simulation model for estimating knock-on delay of Taiwan regional Railway, Journal of the Eastern Asia Society for Transportation Studies,2010,11(8): 2-18
    [54]Alex Landex, etc, network effects in railways [J], Annual Transport Conference at Aalborg University 2007
    [55]荀径,宁滨,网络条件下列车追踪模型及延迟传播的研究[J],物理学报,2007,56(9)5159-5176
    [56]Michiel J.C.M. Vromans, Reliability and heterogeneity of railway services [J], European Journal of Operational Research 172 (2006) 647-665
    [57]Lindfeldt, Railway operation analysis, Ph.D thesis, KTH,2010
    [58]Vromans, M.J.C.M., & Kroon, L.G.2004. Stochastic Optimization of Railway Timetables, In:Proceedings Trail 8 Annual Congress
    [59]第七届世界高速铁路大会论文集,中国铁道出版社,2010
    [60]杜文,文东,客运专线客运站通过能力仿真研究[J],西南交通大学学报,2006,10:549-553
    [61]Nie lei &Hanson, system analysis of train operation and occupancy at station [J], EJTIR,5, no.1 (2005), pp.31-54
    [62]Dan Max Burkolter, Capacity of Railways in Station Areas using Petri Nets[D], Swiss Federal Institute of Technology Zurich,2005
    [63]张英贵,铁路车站股道运用排序模型与算法[J],中国铁道科学,2010,31(2):96-100
    [64]贾文峥,毛保华,基于Petri网的车站股道分配方案瓶颈识别[J],交通运输系统工程与信息,2009,9(6):1-6
    [65]De Kort, A.F., Heidergott, B., Van Egmond, R.J., and Hooghiemstra, G., Train Movement Analysis at Railway Stations:Procedures & Evaluation of Wakob's Approach, TRAIL Series in Transportation Science[J], no. S99/1, Delft University Press, Delft,1999.
    [66]Peter J. Zwaneveld, Leo G. Kroon, Stan P.M. van Hoesel, Routing trains through a railway station based on node packing model[J], European Journal of Operational Research 128 (2001) 14-33.
    [67]Richard Lusby, Jesper Larsen, David Ryan, Matthias Ehrgott Routing Trains Through Railway Junctions:A New Set Packing Approach[J], IMM TECHNICAL REPORT 2006-21
    [68]Xavier Delorme, Xavier Gandibleux, Joaquin Rodriguez, GRASP for set packing problems[J], European Journal of Operational Research 153 (2004) 564-580
    [69]陈应先,高速铁路线路与车站设计[M],北京:中国铁道出版社,2001.
    [70]Y. Zhou. T. Murata. T Defanti. Modeling and Performance Analysis using Extended Fuzzy-timing Petri Nets for Networked Virtual Environments [J]. IEEE Transaction on System, Man and Cybernetics-Part B:Cybernetics,2000,30(5):737-756]
    [71]Farlow, Kasie Geralyn, Max-Plus Algebra [D], Virginia Polytechnic Institute and State University,2009
    [72]Martin Fuchsberger, Solving the train scheduling problem in a main station area via a resource constrained space-time integer multi-commodity flow[D], ETH Zurich,2007
    [73]张雅静,王鹤鸣,铁路行车调度[M],中国铁道出版社,2010
    [74]黄超,王红林,客运专线通过能力计算探讨,铁道运输与经济,2008,(5):24-26
    [75]孙晚华,韩学雷,铁路运输生产力布局理论及应用,中国铁道出版社,2005
    [76]姜兴,客运专线区间通过能力计算方法研究[D],西南交通大学,2008
    [77]包维民,网运分离条件下的线路通过能力研究,西南交通大学,2002
    [78]魏德勇,平均最小列车间隔通过能力计算法在武广客运专线的应用[J],铁路工程学报,2004
    [79]Giovanni Longo, Giorgio Medeossi, NEW METHODS TO INCREASE CAPACITY OF RAILWAY NETWORKS
    [80]Tomas Zavodsky, Estimation of the track line capacity, railway transport and logistics 2007, 2(3):7-12
    [81]Robert Burdett, Erhan Kozan, Techniques for absolute capacity determination in railways, Proceedings of the Fifth Asia Pacific Industrial Engineering and Management Systems Conference,30.1.1-30.1.16,2004
    [82]叶霞飞,顾保南,轨道交通线路设计,同济大学出版社,2010
    [83]付慧玲,高速铁路列车开行方案编制理论与方法研究[D],北京交通大学,2010
    [84]查伟雄,列车区间运行时分动态特性研究,系统工程,2001,19(1):47-51
    [85]Joern Pachl, Railway Operation and Control, VTD Rail Publishing,2002
    [86]W. Sauer. RUT:Computer assisted Route Design. Eisenbahntechnische Rundschau, 48(11):720-725,1999.
    [87]Olaf Br unger and Elias Dahlhaus. Running time estimation. In RailwayTimetable & Traffic, chapter 4, pages 58-82. Eurailpress,2008.
    [88]Tijs Huisman, Richard J. Boucherie, Running times on railway sections with heterogeneous train traffic, Transportation Research Part B 35 (2001)271-292
    [89]汪海龙,钱勇生,基于元胞自动机理论的客运专线通过能力模拟[J],铁道运输与经济,2008,30(7):82-84
    [90]彭其渊,,客运专线上高速列车越行对其他共线列车旅行速度的影响分析[J],交通运输工程与信息,2004,2(1):25-32
    [91]Goverde, R.M.P., et al, Statistical Analysis of Train Traffic; the Eindhoven Case. Delft University Press, Delft, The Netherlands.2001
    [92]Transportation Research Board of the National Academies, Transit Capacity and Quality of Service Manual [R], National Research Council, USA,2003.
    [93]Alex Landex, etc, network effects in railways [J], Annual Transport Conference at Aalborg University 2007
    [94]Malachy Carey, Ex ante heuristic measures of schedule reliability [J], Transportation Research Part B 33 (1999) 473-494
    [95]D.K.Pratihar著,王攀译,软计算[M],科学出版社,2008
    [96]T. Loukil, Solving multi-objective production scheduling problems using metaheuristics European Journal of Operational Research 161 (2005) 42-61
    [97]李爱菊,城市轨道交通系统的极大代数模型[D],北京交通大学,2006
    [98]周磊山,计算机编制列车运行调整计划的理论与方法研究[D],北方交通大学,1994
    [99]时颢,我国高速铁路列车运行图采用模式的分析[J],铁道学报,2000,22(1):92-97
    [100]Jiamin Zhang, Analysis on Comprehensive Balance of Train Operation Plan for High Speed Railway under Mixed Traffic Condition, International Conference on Intelligent Rail Transportation,2011, China
    [101]Cheng, F Y, Multiobjective Optimization Design with Pareto Genetic Algorithm [J], Journal of Structural Engineering,1997,123:1252-61
    [102]Carlos A. Coello Coello, Handling Multiple Objectives With Particle Swarm Optimization, IEEE TRANSACTIONS ON EVOLUTIONARY COMPUTATION, VOL.8, NO.3, JUNE 2004
    [103]崔逊学,多目标进化算法及其应用[M],国防工业出版社,2006
    [104]Joshua D. Knowles, David W. Corne, Approximating the Nondominated Front Using the Pareto Archived Evolution Strategy[J], Evolutionary Computation,1999,7(1):1-24
    [105]铁道部运输局,既有线提速200km/h行车组织,中国铁道出版社,2007
    [106]蒋熙,面向铁路行车组织的仿真建模方法研究[D],北京交通大学,2007
    [107]张铭,城市轨道交通网络运营计划协调优化的研究[D],同济大学,2008
    [108]周磊山,计算机快速处理列车运行图的新方法,计算机应用,1992,9:20-23
    [109]马建军,胡思继,许红,基于京沪高速铁路运行图的高速铁路网理论研究,铁道学报,2002,24(3):1-4
    [110]张进川,杨浩,吴玲,高速动车组合理下线范围的决策模型及算法研究[J],铁道学报,2007,29(3)
    [111]凌熙,杨浩,高速列车下线的经济距离分析[J],中国铁路,2006(6)
    [112]何世伟,宋瑞,戴金鎏,路网运输能力及计算方法的研究[J].铁道学报,2003,25(2):5-9
    [113陈禹六,大系统理论及其应用[M].北京:清华大学出版社,1988
    [114]钱学森,戴汝为,工程控制论,上海交通大学出版社,2007
    [115]E Wendler, The scheduled waiting time on railway lines, Transportation Research Part B: Methodological,2007
    [116]丁洁冰,基于SP调查的客运专线旅客乘车选择行为研究[D],北京交通大学,2007
    [117]Neuts, M.F. Some explicite formulas for the steady-state behavior of the queue with semi-Markovian service times. Advances in Applied Probability,1977,141-157

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