Max-plus Algebra at Road Transportation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27230%2F12%3A86083492" target="_blank" >RIV/61989100:27230/12:86083492 - isvavai.cz</a>
Result on the web
<a href="http://mme2012.opf.slu.cz/proceedings/pdf/121_Pesko.pdf" target="_blank" >http://mme2012.opf.slu.cz/proceedings/pdf/121_Pesko.pdf</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Max-plus Algebra at Road Transportation
Original language description
In this paper two models of two transportation problems over the max-plus algebra are analysed. First problem deals with coordination of strongly dependent light crossroads. Second problem focuses on computing bus line timetables and on synchronization of departures from some interchange stops at bus transportation network. The behaviour of this discrete-event dy- namic systems can be modeled as linear systems in max-plus algebra with operations max and plus. We show how it is possible to use eigenvalues and eigenvectors of matrix for computing practical characteristics of these road transport systems. Some results of computation experiments using open source software ScicosLab with real data of Czech town Protejov instances of problems are presented.
Czech name
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Czech description
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Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of 30th International Conference Mathematical Methods in Economics : 11-13 September 2012, Karviná, Czech Republic
ISBN
978-80-7248-779-0
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
703 - 708
Publisher name
Slezská univerzita v Opavě
Place of publication
Opava
Event location
Karviná
Event date
Sep 11, 2012
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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