M/En/1/m queuing system subject to catastrophes

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27230%2F14%3A86091642" target="_blank" >RIV/61989100:27230/14:86091642 - isvavai.cz</a>
Result on the web
<a href="http://mme2014.upol.cz/downloads/MME_2014_Proceedings.pdf" target="_blank" >http://mme2014.upol.cz/downloads/MME_2014_Proceedings.pdf</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
M/En/1/m queuing system subject to catastrophes
Original language description
The paper is focused on a finite single-server queuing system with a server subject to so-called catastrophes. The catastrophes represent a special type of failures that cause emptying the system (all the customers found in the system are flushed out ofthe system). When the server is up, the customers arrive according to a Poisson input process with the parameter ? > 0. When the server is under repair (down), all the arriving customers refuse to enter the system because they are not willing to wait. The customer?s service time is assumed to be Erlang distributed with the shape parameter n and the scale parameter n?. That means the service process of each customer consists of n exponentially distributed phases and the customer is served after finishingthe last phase of the service process. Times between catastrophes are exponentially distributed with the parameter ?; times to repair are also exponentially distributed, but with the parameter ?. In the paper we present a mathematical mo
Czech name
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Czech description
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Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Mathematical Methods in Economics, MME 2014 : 32nd international conference : September 10-12, 2014, Olomouc, Czech Republic : conference proceedings
ISBN
978-80-244-4209-9
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
168-173
Publisher name
Palacký University
Place of publication
Olomouc
Event location
Olomouc
Event date
Sep 10, 2014
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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