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Statements

Subject Item
n2:RIV%2F61989100%3A27230%2F12%3A86083528%21RIV13-MSM-27230___
rdf:type
n9:Vysledek skos:Concept
dcterms: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 2λ or 2μ respectively. We consider that server failures can occur when the server is busy (so called operate-dependent failures). Further we assume that service of a customer is interrupted by the occurrence of the server failure (the preemptive-repeat discipline. We assume that random variables relevant to server failures and repairs are exponentially distributed. The queueing system is modelled using method of stages. We present a state transition diagram, a system of linear equations describing the system behaviour in the steady-state and formulas for several performance measures computation. To validate the mathematical model a simulation model was created using simulation software Witness. At the end of the paper some graphical dependencies are shown. 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 2λ or 2μ respectively. We consider that server failures can occur when the server is busy (so called operate-dependent failures). Further we assume that service of a customer is interrupted by the occurrence of the server failure (the preemptive-repeat discipline. We assume that random variables relevant to server failures and repairs are exponentially distributed. The queueing system is modelled using method of stages. We present a state transition diagram, a system of linear equations describing the system behaviour in the steady-state and formulas for several performance measures computation. To validate the mathematical model a simulation model was created using simulation software Witness. At the end of the paper some graphical dependencies are shown.
dcterms:title
Of E2/E2/1/m Queueing System Subject to Operate-Dependent Server Breakdowns Of E2/E2/1/m Queueing System Subject to Operate-Dependent Server Breakdowns
skos:prefLabel
Of E2/E2/1/m Queueing System Subject to Operate-Dependent Server Breakdowns Of E2/E2/1/m Queueing System Subject to Operate-Dependent Server Breakdowns
skos:notation
RIV/61989100:27230/12:86083528!RIV13-MSM-27230___
n9:predkladatel
n12:orjk%3A27230
n3:aktivita
n18:S
n3:aktivity
S
n3:cisloPeriodika
2
n3:dodaniDat
n16:2013
n3:domaciTvurceVysledku
n5:6860273
n3:druhVysledku
n15:J
n3:duvernostUdaju
n7:S
n3:entitaPredkladatele
n17:predkladatel
n3:idSjednocenehoVysledku
156043
n3:idVysledku
RIV/61989100:27230/12:86083528
n3:jazykVysledku
n14:eng
n3:klicovaSlova
Witness; server breakdown; method of stages; queueing; E2/E2/1/m
n3:klicoveSlovo
n11:queueing n11:Witness n11:server%20breakdown n11:method%20of%20stages n11:E2%2FE2%2F1%2Fm
n3:kodStatuVydavatele
CZ - Česká republika
n3:kontrolniKodProRIV
[6A973645E8E9]
n3:nazevZdroje
Perners Contact
n3:obor
n13:BB
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:rokUplatneniVysledku
n16:2012
n3:svazekPeriodika
7
n3:tvurceVysledku
Dorda, Michal
s:issn
1801-674X
s:numberOfPages
7
n10:organizacniJednotka
27230