On queueing model of freight train classification process

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27230%2F16%3A86098132" target="_blank" >RIV/61989100:27230/16:86098132 - isvavai.cz</a>
Result on the web
<a href="http://mme2016.tul.cz/conferenceproceedings/mme2016_conference_proceedings.pdf" target="_blank" >http://mme2016.tul.cz/conferenceproceedings/mme2016_conference_proceedings.pdf</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
On queueing model of freight train classification process
Original language description
The paper deals with a finite single-server queueing system with a server subject to non-preemptive failures. The queueing model was created to model classification processes in marshalling yards. Customers are inbound freight trains entering the marshalling yard (primary shunting) and non-preemptive failures correspond to classification of trains of wagons entering the yard from industrial sidings (secondary shunting). It is assumed that the customers come to the system in the Poisson stream, service times are Erlang distributed. The capacity of the system is given by the number of arrival tracks in the marshalling yards. All the requests for secondary shunting are considered to be non-preemptive failures of the system because primary shunting cannot be carried out during secondary shunting. Times between non-preemptive failures are exponentially distributed and times to repair are Erlang distributed. The queueing system is modelled as a quasi-birth death process for which its state transition diagram and linear equation system are presented. By solving the equation system in Matlab stationary probabilities are calculated and on their basis some performance measures can be computed.
Czech name
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Czech description
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Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
34th International Conference Mathematical Methods in Economics (MME) : proceedings papers
ISBN
978-80-7494-296-9
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
165-170
Publisher name
Technická univerzita Liberec
Place of publication
Liberec
Event location
Liberec
Event date
Sep 6, 2016
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
000385239500029

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