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GraphHopper supports time-dependent public transit routing by itself. You need the timetable information (GTFS) and maybe also a real-time data connection. From this data also other providers like Google and Mapbox offer their transit options, I think.

The OpenRailRouting project however is more for planning purposes (i.e. for the railway companies) to determine how long a train will take from A to B and which exact rails the route will take and which turns are allowed and more.



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