About: Of E2/E2/1/m Queueing System Subject to Operate-Dependent Server Breakdowns

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
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. (en)
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 (en)
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 (en)
skos:notation	RIV/61989100:27230/12:86083528!RIV13-MSM-27230___
http://linked.open...avai/riv/aktivita	S
http://linked.open...avai/riv/aktivity	S
http://linked.open...iv/cisloPeriodika	2
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Dorda, Michal
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Vysoká škola báňská - Technická univerzita Ostrava / Fakulta strojní
http://linked.open...dnocenehoVysledku	156043
http://linked.open...ai/riv/idVysledku	RIV/61989100:27230/12:86083528
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Witness; server breakdown; method of stages; queueing; E2/E2/1/m (en)
http://linked.open.../riv/klicoveSlovo	E2/E2/1/m queueing Witness method of stages server breakdown
http://linked.open...odStatuVydavatele	CZ - Česká republika
http://linked.open...ontrolniKodProRIV	[6A973645E8E9]
http://linked.open...i/riv/nazevZdroje	Perners Contact
http://linked.open...in/vavai/riv/obor	BB
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	7
http://linked.open...iv/tvurceVysledku	Dorda, Michal
issn	1801-674X
number of pages	7 (xsd:int)
http://localhost/t...ganizacniJednotka	27230

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