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A. Schöbel, C. Schöbel, M. Stefan, J. Blieberger:
"Kronecker Algebra for Optimization of Rail Traffic Flow on Zagreb--Rijeka Line";
Talk: Scientific Expert Conference on Railways, Nis, Serbia; 2018-10-11 - 2018-10-12; in: "Proceedings Railcon 2018", (2018), 41 - 44.

Within the
Shift2Rail
-
Project "GoSafeRail" so called Kronecker Algebra is applied on
the railway line from Zagreb to Rijeka for traffic flow optimization. Kronecker Algebra consists out
of Kronecker Product and Kronecker Sum to describe concurrency of tasks as well a
s their inter
-
leavings. The railway line from Zagreb to Rijeka has been already modeled by software tool called
OpenTrack. In this project data from OpenTrack model is automatically converted into input files
for a 3rd party tool based on Kronecker Algebra
. To model the infrastructure so called "IVT"
format is used to export an itinerary covering the main track. The entire line consists out of 250
edges while station areas with more than one station track are handled by counting semaphores.
The timetable is
exported in OpenTrack text format and used to create train run files. On a normal
working day around 115 trains are running on this line but of course not all trains use the entire
line. Additionally, train characteristics are considered to calculate real
istic running times.

Railway operation, rail traffic flow, optimization