中文摘要：

基于共线交路的四种基本形式,建立了车底独立与套跑运用条件下的多目标非线性混合整数规划优化模型.开发了一个车底运用优化工具,并通过实例验证了该模型的实用性与有效性.结果表明：车底运用数量与共线段行车间隔、不同交路列车的开行比例、共线段及非共线段运行时分、折返站的折返时间标准及车底的运用方式（独立或套跑运用）等因素关系密切.最后给出了该模型在城市轨道交通列车运行图编制系统中的实际应用效果.

英文摘要：

Based on four forms of shared-path route, a multi- objective non-linear mixed integer programming （MIP） optimization model of calculating the number of transit unit （TU） with separate or shared using mode is presented. A calculation software tool based on this model is developed and a case is proposed to testify the availability and validity of the model. The results show that the number of TU affected by five key factors such as headway of shared-path sections, number of trains in different routes, running time of routes, layover time in terminals and the using mode （separate or shared） of TU. The practical application of the model to urban rail transit train plan maker （TPM） and its prospects are introduced finally.