基于灵活接续的周期性列车运行图加线模型
The adding train paths model on cyclic timetable based on flexible connection

周期性列车运行图的编制技术在国内外已有较多研究,在周期图的基础上,如何合理加入非周期列车运行线成为“周期+非周期模式”列车运行图在我国铁路网大规模应用中亟待解决的问题之一。此外,“周期+非周期模式”下列车接续关系更为复杂,而我国高速铁路发展迅速,列车运行图随线路的开通不断调整,短时间内难以形成符合市场运营需要的接续关系。针对上述问题,基于周期图的加线模型,考虑周期结构和灵活接续等约束,构建基于灵活接续的周期性列车运行图加线的混合整数规划模型,以实现列车接续方案设计与“周期+非周期”运行图编制的综合优化,并通过算例分析,验证了模型的有效性,提高了“周期+非周期模式”列车运行图的可实施性。
Cyclic train timetable has already been adopted on many high-speed railway countries. Then a hybrid timetable mode named “cyclic +non-cyclic” timetable which consists of both cyclic and non-cyclic timetable is possible. Nowadays, the models and algorithms for cyclic timetabling is well developed, but the technique to insert extra train paths into a cyclic timetable is still in a significant demand for research. In addition, as a distinctive feature of cyclic timetable, the convenient transfer connection plan is still not determined in China HSR due to the rapid development of the network. This paper constructed an adding train paths model based on an existing cyclic timetable by considering the constraints of periodic structure and flexible connection, in order to get integrated optimization on both connection planning and “cyclic+non-cyclic” timetable scheduling. At last, a case study of Beijing- Shanghai HSR was used to verify the effectiveness of proposed model and method