分组列车固定车组重量优化模型研究  

Research on Optimal Model for Fixed Weight Parameters of Multi-block Train

作　　者：陈崇双[1] 唐家银[1] 薛锋[2] 

机构地区：[1]西南交通大学数学学院,四川成都610031 [2]西南交通大学交通运输与物流学院,四川成都610031

出　　处：《铁道学报》2013年第10期9-17,共9页Journal of the China Railway Society

基　　金：国家自然科学基金(61203175);北京交通大学轨道交通控制与安全国家重点实验室开放课题基金(RCS2011K012);铁道部科技研究开发计划专项课题(2013J006-B);中央高校基本科研业务费专项资金(SWJTU12CX058;SWJTU12ZT14;2682013CX037);西南交通大学博士研究生创新基金

摘　　要：车组重量参数是编制分组列车编组计划的重要参数之一,其选择属于分组列车组织条件研究的内容。以基本组和补轴组两个去向的最佳车组重量为决策变量,考虑满轴约束,分别以编成站平均每列车的集结耗费和集结占用时间最小为目标函数,建立整数规划模型。由于目标函数受到多种因素影响且具有非线性结构,在假定到达车组中的车辆数服从泊松分布以及车流到达间隔时间服从指数分布的基础上,模型求解采用分阶段逐步解决的思路。首先根据模型的对称结构设计试验环境和方案,其次采用数值计算方法探究最佳固定重量的影响机制,然后基于挖掘的信息采用回归方法给出经验计算公式。结果表明:最优重量比例和车流到达频率比例之间存在明显的线性相关关系,且在该情形下分组列车的效益最大。Fixed weights of multi-block train, including basic-block （long-distance block） and complementary-block （short-distance block）, are great important parameters for train formation plan （TFP）, and how to choose them is one of the research aspects of operation condition. Taking each weight for one direction as a decision variable, considering the limitation of full axis, two integer programming models were proposed, which aimed to minimize the expectation of accumulation cost or occupation time per train in formation station. Since two objective functions are affected by many factors and have nonlinear structure, both two optimization formulations were solved by three phases based on assuming that the amount of cars obeys Poisson distribution and the interval time follows exponential distribution for the batch. Firstly, the targeted test schemes were well designed under their symmetric nature; then the effect mechanism of opti- mal weights was mined using numerical calculation; and the corresponding empirical regression formulas were respec- tively provided according to the explored information, finally. The results show that there exist significant linear corre- lations between optimal weights ratio and wagon flow frequency ratio for two directions; furthermore, the multi-block train＇s benefit reaches its maximum in such circumstance.

关 键 词：车流组织 分组列车 组织条件 固定车组重量 数值计算 

分 类 号：U292.3[交通运输工程—交通运输规划与管理]