About: Of two modifications of E2/E2/1/m queueing system with a server subject to 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)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://www.m-hikari.com/ams/ams-2013/ams-9-12-2013/dordaAMS9-12-2013.pdf
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. 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 several performance measures computation. 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. 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 several performance measures computation. At the end of the paper some graphical dependencies are shown. (en)
Title	Of two modifications of E2/E2/1/m queueing system with a server subject to breakdowns Of two modifications of E2/E2/1/m queueing system with a server subject to breakdowns (en)
skos:prefLabel	Of two modifications of E2/E2/1/m queueing system with a server subject to breakdowns Of two modifications of E2/E2/1/m queueing system with a server subject to breakdowns (en)
skos:notation	RIV/61989100:27230/13:86086914!RIV14-MSM-27230___
http://linked.open...avai/predkladatel	Fakulta strojní
http://linked.open...avai/riv/aktivita	S
http://linked.open...avai/riv/aktivity	S
http://linked.open...iv/cisloPeriodika	11
http://linked.open...vai/riv/dodaniDat	2014
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	93504
http://linked.open...ai/riv/idVysledku	RIV/61989100:27230/13:86086914
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	server breakdown; method of stages; queueing; E2/E2/1/m (en)
http://linked.open.../riv/klicoveSlovo	E2/E2/1/m queueing method of stages server breakdown
http://linked.open...odStatuVydavatele	BG - Bulharská republika
http://linked.open...ontrolniKodProRIV	[1BDC1A3B5981]
http://linked.open...i/riv/nazevZdroje	Applied Mathematical Sciences
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	2013
http://linked.open...v/svazekPeriodika	7
http://linked.open...iv/tvurceVysledku	Dorda, Michal
issn	1312-885X
number of pages	12 (xsd:int)
http://localhost/t...ganizacniJednotka	27230

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