区域轨道交通跨线运行行车密度优化模型  

Optimization model of train operation density for cross-line in regional rail transit

作　　者：梁青槐[1] 柴树山 邓京维 LIANG Qinghuai;CHAI Shushan;DENG Jingwei(School of Civil Engineering,Beijing Jiaotong University,Beijing 100044,China)

机构地区：[1]北京交通大学土木建筑工程学院,北京100044

出　　处：《北京交通大学学报》2020年第1期20-26,共7页JOURNAL OF BEIJING JIAOTONG UNIVERSITY

基　　金：国家自然科学基金(51978044)。

摘　　要：列车的行车密度是列车运行组织方案编制过程中一个重要指标,与单线运行相比,开行跨线列车时的行车密度计算模型有其自身的特殊性.基于不同的客流出行需求和列车运行模式,对客流类型进行分类,以列车运营成本最小和乘客出行成本最小为目标,约束条件中考虑了开行跨线列车时的行车间隔、与单线运行相比时的成本优势、列车服务水平以及跨线列车对非跨线客流的承运作用等约束条件,建立了区域轨道交通跨线运行行车密度的多目标混合整数非线性优化模型,并将成本控制的偏好性引入模型,使模型更具有灵活性.通过算例验证了模型的适用性和合理性,得到开行跨线列车时不同偏好系数下承运各类客流的列车最优行车密度.The train operation density is an important index in the process of organizing train operation.Compared with the mode of single-track operation,the train density calculation model of cross-line operation bears its distinctive characteristics.Based on different passenger flow demands and operation modes of trains,passenger flow types are classified into different categories.The minimum operation cost and the minimum passenger travel cost are taken as objectives,a multi-objective mixed-integer nonlinear programming model is proposed with various const raints taken into consideration,such as the interval condition for the operation of cross-line trains,the cost advantage over single-track operation,the service level on board,and the carrying capacity of cross-line train for non-cross-line passenger flow.The preference of cost control is introduced into this model,which makes it more flexible.The applicability and the rationality of the model are verified by case study,and the optimal operation density of trains carrying various passenger flows under different preference coefficients are obtained.

关 键 词：区域轨道交通 跨线运行 混合整数非线性规划 行车密度 

分 类 号：U239.5[交通运输工程—道路与铁道工程]