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https://doi.org/10.17559/TV-20131107130926

Application of Kronecker algebra in railway operation

Mark Stefan (Volcic) ; Austrian Institute of Technology GmbH, Giefinggasse 2, A-1210 Vienna, Austria
Johann Blieberger ; TU Wien, Institute of Computer Aided Automation Treitlstraße 1-3, A-1040 Vienna, Austria
Andreas Schöbel ; OpenTrack Railway Technology Ltd., Kaasgrabengasse 19/8, A-1190 Vienna, Austria / Karlsplatz 13, 1040 Vienna, Austria

Puni tekst: engleski, pdf (2 MB) str. 21-30 preuzimanja: 135* citiraj
APA 6th Edition
Stefan (Volcic), M., Blieberger, J. i Schöbel, A. (2017). Application of Kronecker algebra in railway operation. Tehnički vjesnik, 24 (1), 21-30. https://doi.org/10.17559/TV-20131107130926
MLA 8th Edition
Stefan (Volcic), Mark, et al. "Application of Kronecker algebra in railway operation." Tehnički vjesnik, vol. 24, br. 1, 2017, str. 21-30. https://doi.org/10.17559/TV-20131107130926. Citirano 23.10.2019.
Chicago 17th Edition
Stefan (Volcic), Mark, Johann Blieberger i Andreas Schöbel. "Application of Kronecker algebra in railway operation." Tehnički vjesnik 24, br. 1 (2017): 21-30. https://doi.org/10.17559/TV-20131107130926
Harvard
Stefan (Volcic), M., Blieberger, J., i Schöbel, A. (2017). 'Application of Kronecker algebra in railway operation', Tehnički vjesnik, 24(1), str. 21-30. https://doi.org/10.17559/TV-20131107130926
Vancouver
Stefan (Volcic) M, Blieberger J, Schöbel A. Application of Kronecker algebra in railway operation. Tehnički vjesnik [Internet]. 2017 [pristupljeno 23.10.2019.];24(1):21-30. https://doi.org/10.17559/TV-20131107130926
IEEE
M. Stefan (Volcic), J. Blieberger i A. Schöbel, "Application of Kronecker algebra in railway operation", Tehnički vjesnik, vol.24, br. 1, str. 21-30, 2017. [Online]. https://doi.org/10.17559/TV-20131107130926
Puni tekst: hrvatski, pdf (2 MB) str. 21-30 preuzimanja: 287* citiraj
APA 6th Edition
Stefan (Volcic), M., Blieberger, J. i Schöbel, A. (2017). Primjena Kroneckerove algebre u poslovanju željeznice. Tehnički vjesnik, 24 (1), 21-30. https://doi.org/10.17559/TV-20131107130926
MLA 8th Edition
Stefan (Volcic), Mark, et al. "Primjena Kroneckerove algebre u poslovanju željeznice." Tehnički vjesnik, vol. 24, br. 1, 2017, str. 21-30. https://doi.org/10.17559/TV-20131107130926. Citirano 23.10.2019.
Chicago 17th Edition
Stefan (Volcic), Mark, Johann Blieberger i Andreas Schöbel. "Primjena Kroneckerove algebre u poslovanju željeznice." Tehnički vjesnik 24, br. 1 (2017): 21-30. https://doi.org/10.17559/TV-20131107130926
Harvard
Stefan (Volcic), M., Blieberger, J., i Schöbel, A. (2017). 'Primjena Kroneckerove algebre u poslovanju željeznice', Tehnički vjesnik, 24(1), str. 21-30. https://doi.org/10.17559/TV-20131107130926
Vancouver
Stefan (Volcic) M, Blieberger J, Schöbel A. Primjena Kroneckerove algebre u poslovanju željeznice. Tehnički vjesnik [Internet]. 2017 [pristupljeno 23.10.2019.];24(1):21-30. https://doi.org/10.17559/TV-20131107130926
IEEE
M. Stefan (Volcic), J. Blieberger i A. Schöbel, "Primjena Kroneckerove algebre u poslovanju željeznice", Tehnički vjesnik, vol.24, br. 1, str. 21-30, 2017. [Online]. https://doi.org/10.17559/TV-20131107130926

Sažetak
We present a methodology for dispatching trains which prevents deadlocks and includes possible limitation of the available energy provided by the power supply. Our approach applies Kronecker algebra to manipulate matrices. Generally blocking of trains occurs due to a lack of some resource which can be either infrastructure or energy. Our method can also be used to calculate travel times in a rough way. Thereby blocking time is included in the calculated travel time. To model the movements of trains in a railway system we use graphs, which are represented by adjacency matrices. We assume that the edges in a graph are labelled by elements of a semiring. Usually two or more distinct train route graphs refer to the same track section to model synchronization. Our approach can be used to model a complex railway system. For example, if additional trains have to be scheduled, power stations or interconnection lines fail or are not available due to maintenance, our model can be used to calculate the impact on the travel times of the trains in the system.

Ključne riječi
deadlock; dispatching; energy-aware; Kronecker algebra; travel time

Hrčak ID: 174696

URI
https://hrcak.srce.hr/174696

[hrvatski]

Posjeta: 661 *