On queueing model of freight train classification process

Kód výsledku v 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>

Výsledek na webu

<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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Jazyk výsledku

angličtina

Název v původním jazyce

On queueing model of freight train classification process

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

On queueing model of freight train classification process

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

JO - Pozemní dopravní systémy a zařízení

OECD FORD obor

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Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2016

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

34th International Conference Mathematical Methods in Economics (MME) : proceedings papers

ISBN

978-80-7494-296-9

ISSN

—

e-ISSN

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Počet stran výsledku

6

Strana od-do

165-170

Název nakladatele

Technická univerzita Liberec

Místo vydání

Liberec

Místo konání akce

Liberec

Datum konání akce

6. 9. 2016

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

000385239500029