SYNCHRONIZATION DEPARTURE FROM INTERCHANGE STOPS AT MAX-PLUS ALGEBRA
Keywords:
Synchronization, interchange stops, modeling, Max-plus algebraAbstract
The paper deals with the modeling of synchronization of departures from interchange stops using Max-plus algebra. In the introduction to the problem there is given the importance of passengers transfer and motivation of the use of mathematical Max-plus algebra. In the following theoretical analysis Max-plus algebra is introduced and software tool for Max-plus algebra is described. An illustrative example of the synchronization of radial lines is modeled by using Max-plus algebra.
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References
(1) ČERNÝ, J., KLUVÁNEK, P. Základy matematickej teórie dopravy. Bratislava: VEDA,
1991. 279 s. ISBN 80-224-0099-8.
(2) BURKARD, R. E., BUTKOVIČ, P. Max algebra and the linear assignment problem.
2003.
(3) ANDERSEN, M. H. Max-plus algebra: properties and applications. 2002.
(4) BACELLI, F., COHEN, G., OLSDER, G. J., QUADRAT, J. P. Synchronization
and Linearity. 2001.
(5) TUREK, R. Koordinace linek MHD s využitím Petriho sítí In Sborník z konference
Otvorený softvér vo vzdelávaní, výskume a v IT riešeniach. Žilina: Žilinská univerzita
v Žilině. Fakulta Riadenia a informatiky. Katedra matematických metód, 2010.
s. 205 - 214. ISBN 978-80-970457-0-8.
(6) Scilab. Dostupné z <http://www.scilab.org>.
1991. 279 s. ISBN 80-224-0099-8.
(2) BURKARD, R. E., BUTKOVIČ, P. Max algebra and the linear assignment problem.
2003.
(3) ANDERSEN, M. H. Max-plus algebra: properties and applications. 2002.
(4) BACELLI, F., COHEN, G., OLSDER, G. J., QUADRAT, J. P. Synchronization
and Linearity. 2001.
(5) TUREK, R. Koordinace linek MHD s využitím Petriho sítí In Sborník z konference
Otvorený softvér vo vzdelávaní, výskume a v IT riešeniach. Žilina: Žilinská univerzita
v Žilině. Fakulta Riadenia a informatiky. Katedra matematických metód, 2010.
s. 205 - 214. ISBN 978-80-970457-0-8.
(6) Scilab. Dostupné z <http://www.scilab.org>.
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Published
2011-04-15
How to Cite
Turek, R. (2011). SYNCHRONIZATION DEPARTURE FROM INTERCHANGE STOPS AT MAX-PLUS ALGEBRA. Perner’s Contacts, 6(1), 385–394. Retrieved from https://pernerscontacts.upce.cz/index.php/perner/article/view/815
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Copyright (c) 2020 Richard Turek
This work is licensed under a Creative Commons Attribution 4.0 International License.
