Of two modifications of E2/E2/1/m queueing system with a server subject to breakdowns

Kód výsledku v 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>

Výsledek na webu

<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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Jazyk výsledku

angličtina

Název v původním jazyce

Of two modifications of E2/E2/1/m queueing system with a server subject to breakdowns

Popis výsledku v původním jazyce

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

Název v anglickém jazyce

Of two modifications of E2/E2/1/m queueing system with a server subject to breakdowns

Popis výsledku anglicky

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

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BB - Aplikovaná statistika, operační výzkum

OECD FORD obor

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Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2013

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Applied Mathematical Sciences

ISSN

1312-885X

e-ISSN

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Svazek periodika

7

Číslo periodika v rámci svazku

11

Stát vydavatele periodika

BG - Bulharská republika

Počet stran výsledku

12

Strana od-do

539-550

Kód UT WoS článku

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EID výsledku v databázi Scopus

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