Of two modifications of E2/E2/1/m queueing system with a server subject to breakdowns
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27230%2F13%3A86086914" target="_blank" >RIV/61989100:27230/13:86086914 - isvavai.cz</a>
Result on the web
<a href="http://www.m-hikari.com/ams/ams-2013/ams-9-12-2013/dordaAMS9-12-2013.pdf" target="_blank" >http://www.m-hikari.com/ams/ams-2013/ams-9-12-2013/dordaAMS9-12-2013.pdf</a>
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Of two modifications of E2/E2/1/m queueing system with a server subject to breakdowns
Original language description
The paper deals with modelling of a finite single-server queueing system with a server subject to breakdowns. Customers interarrival times and customers service times follow the Erlang distribution defined by the shape parameter k=2 and the scale parameter 2? or 2? respectively. The paper demonstrates two modifications of the queueing system. In both cases we consider that server failures can occur when the server is busy (operate-dependent failures). Further we assume that service of a customer is interrupted by the occurrence of the server failure (the preemptive-repeat discipline) or the system empties when the server is broken (the failure-empty discipline). We assume that random variables relevant to server failures and repairs are exponentially distributed. Both modifications are modelled using method of stages. For each modification we present the state transition diagram, the system of linear equations describing the system behavior in the steady state and the formulas for seve
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BB - Applied statistics, operational research
OECD FORD branch
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Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Applied Mathematical Sciences
ISSN
1312-885X
e-ISSN
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Volume of the periodical
7
Issue of the periodical within the volume
11
Country of publishing house
BG - BULGARIA
Number of pages
12
Pages from-to
539-550
UT code for WoS article
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EID of the result in the Scopus database
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