Abstract: Maintenance Time on Passenger Dedicated Line (PDL) affects the night train operation, considering the high-speed train can travel across adjacent conventional and inter-city railway lines with harmoniously utilizing the capacity of transport corridor to meet the demands of night service, the paper analyzes the interaction between setting up full range of vertical rectangular maintenance time window on PDL and night train operation, then the mathematical model for obtaining the best location of time window is established with minimizing the number of train ODs affected by time window as object, and meeting the reasonable departure and arrival time zone of sunset-departure and sunrise-arrival train as constraints, algorithm is also designed. Taking Beijing-Shanghai High-speed Railway as example, a conclusion that there is little difference of the number of train ODs affected by different locations of time window is obtained by computer programming, then the relatively best location of 4-hour vertical rectangular time window are given when the train-sets’ speed is 350km/h and 250km/h, and velocity coefficient is 0.9 and 0.8 respectively, the operation adjusting methods for those trains affected by the time window are also given, on these basis, the appropriate train-sets’ speed of night train is suggested preliminarily.

Key words: railway transportation, passenger dedicated railway line (PDL);sunset-departure and sunrise-arrival train, night train operation, vertical rectangular maintenance time window, mathematical model

摘要： 客运专线天窗的开设影响夕发朝至列车的运行组织. 考虑高速列车可利用相邻既有线、城际铁路跨线运行，以综合利用运输通道运输能力满足旅客夜间出行需求，本文分析了客运专线开设全线垂直矩形天窗与夜间行车的相互影响，建立了求解最佳矩形天窗位置问题的数学模型，以天窗影响列车OD数最少为目标，以满足夕发朝至列车合理到发时间带为约束，并提出了求解算法. 结合京沪高速铁路实例，运用计算机编程求解，得出不同位置的天窗影响的列车OD数相差不大的结论，并给出动车组速度等级为350km/h和250km/h、速度系数0.9和0.8四种情况下长度为4小时的相对最佳矩形天窗位置. 对受天窗影响的列车提出了运行调整措施，初步分析了开行夕发朝至列车时动车组适宜采取的运行速度.

关键词: 铁路运输, 客运专线, 夕发朝至列车, 夜间行车, 垂直矩形维修天窗, 数学模型