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A. Edthofer, M. Bicher, F. Breitenecker:
"Train schedule analysis and optimization with the Max-Plus Automaton";
in: "Proceedings of the 32nd European Modeling & Simulation Symposium, EMSS", 32; M. Affenzeller, A. Bruzzone, F. Longo, A. Petrillo (Hrg.); herausgegeben von: DIMEG, University of Calabria; Proceedings of the 32nd European Modeling & Simulation Symposium, EMSS, CAL-TEK, Rende, IT, 2020, ISBN: 978-88-85741-44-7, S. 161 - 164.

This work deals with methods to improve efficiency of train networks and applies them on the example of Austrian freight train track. The aim is to analyze the utilization of the capacity of the tracks and, if possible, to optimize them. We use implementations of the Max-Plus automaton and apply them for given freight train track data of a small rail network within Vienna, the capital city of Austria. The theoretical background is the Max-Plus algebra, with which the Max-Plus automaton is described. This model deals in general with microscopic networks. In this paper the Max-Plus automaton is applied to a schedule of freight trains, which run in the southwest of Vienna. It shows, that the efficiency of the utilization of the tracks can be increased, if the sequence of the trains is changed.

http://dx.doi.org/10.46354/i3m.2020.emss.022