This paper studies the train trajectory optimization problem of two opposite trains on single-track railway lines. A two-train trajectory optimization problem is formulated using the multiple-phase optimal control model, where the timetable as well as train performance parameters, track gradients, curves, speed limits and energy-saving requirements are taken into account. Multiple-tracks at stations are reflected in the model, so that trains may use different tracks at stations. A meeting constraint is developed to avoid head-on conflicts between opposite trains on open tracks. The trajectories of the two opposite trains are optimized simultaneously by a pseudospectral method with minimizing energy consumption as the objective function. In addition, an optimization method is developed for energy-efficient time-distance paths for two opposite trains based on the two-train trajectory optimization model. The method is applied in case studies of two opposite trains running on a Dutch single-track railway corridor. The results show that our method is able to produce optimal trajectories and time-distance paths for both trains within a short time.


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    Title :

    Train trajectory optimization of opposite trains on single-track railway lines


    Contributors:


    Publication date :

    2016-08-01


    Size :

    934621 byte




    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English





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