The optimization of the train working diagram of pick-up and drop trains in single-track railway sections is conducive to vehicle turnover and freight delivery.As the dwelling time of forward wagon flows is fixed,only reverse flows in up and down directions are taken into consideration when discussing the train operation.Three train working diagrams of upper opening,lower opening,and crossing can be applied when running a couple of pick-up and drop trains every day,and 0-1 variables were proposed to convert these 3 plans into a single scheme.Considering the selection logic constraints of pick-up and drop train crossing stations,train operation process constraints such as arrival and departure time,dwelling time at the station and running time between the adjacent stations,and other constraints including the total staying time of reverse wagon flow in the stations and the required cargo operation time,a nonlinear integer programming model was established with minimizing the staying minutes at the stations of the reverse wagon flow as the goal.Large M was introduced to convert its nonlinear constraints into linear ones to produce a linear integer programming model.Optimal solutions to certain examples were obtained by using mathematical software,and these solutions can help put forward suggestions for the optimization of train working diagrams of pick-up and drop trains from different perspectives and provide a reference for the determination of adjustment of the diagrams.
关键词
铁路运输/摘挂列车/列车运行图/单线铁路/整数规划模型
Key words
Railway Transportation/Pick-up and Drop Train/Train Working Diagram/Single-Track Railway/Integer Programming Model
维普
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