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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...
The train trajectory optimization problem aims at finding the optimal speed profiles and control regimes for a safe, punctual, comfortable, and energy-efficient train operation. This paper studies the train trajectory optimization problem with consideration of general operational constraints as well as signalling constraints. Operational constraints refer to time and speed restrictions from the actual...
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