On finite single-server queue subject to non-preemptive breakdowns

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27230%2F13%3A86087662" target="_blank" >RIV/61989100:27230/13:86087662 - isvavai.cz</a>
Result on the web
<a href="https://mme2013.vspj.cz/about-conference/conference-proceedings" target="_blank" >https://mme2013.vspj.cz/about-conference/conference-proceedings</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
On finite single-server queue subject to non-preemptive breakdowns
Original language description
The paper deals with modelling and simulation of a finite single-server queueing system with a server subject to breakdowns. We consider that customers come to the queueing system in the Poisson stream. Customers incoming to the system are served according to the FCFS discipline, service times are considered to follow the Erlang distribution defined by the shape parameter and the scale parameter. Customers can wait for the service in the queue which length is limited by (m-1) places, that means the total capacity of the queueing system is equal to m places. Further, we assume that the server can break down. Breakdowns of the server are considered to be non-preemptive that means when a breakdown occurs during customer servicing it is possible to finishit before server repair is started. Times between breakdowns and repair times are assumed to follow the exponential distribution. We model the queue as a quasi-birth death process for which we present steady-state diagram and equation sys
Czech name
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Czech description
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Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Mathematical Methods in Economics 2013 : 31st international conference : 11-13 September 2013, Jihlava, Czech Republic
ISBN
978-80-87035-76-4
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
141-146
Publisher name
College of Polytechnics Jihlava
Place of publication
Jihlava
Event location
Jihlava
Event date
Sep 11, 2013
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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