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A. Schöbel, C. Schöbel, J. Blieberger:
"Kronecker Algebra for Managing Rail Capacity";
in: "ISEP2018 -- 26th International Symposium on Electronics in Transport", ISEP2018, Ljubljana, 2018, ISBN: 978-961-6187-69-5.

Within the Shift2Rail-Project "GoSafeRail" so called
Kronecker Algebra is applied on the railway line from Zagreb
to Rijeka for traffic flow optimisation. Kronecker Algebra
consists out of Kronecker Product and Kronecker Sum to
describe concurrency of tasks as well es their interleavings.
The railway line from Zagreb to Rijeka has been successfully
modelled by software tool called OpenTrack. In this project
data from OpenTrack model is converted into input for
Kronecker Algebra to manage rail capacity in an efficient
manner. To model the infrastructure so called ivt format is
used to export an itinerary covering the main track. The
timetable is exported in OpenTrack text format and used to
create train run files.

Kronecker algebra, rail traffic flow optimization, rescheduling