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Modelling of E2/E2/1/m Queueing System Subject to Breakdowns and Customer Rejection during Failure

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27230%2F11%3A86079195" target="_blank" >RIV/61989100:27230/11:86079195 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Modelling of E2/E2/1/m Queueing System Subject to Breakdowns and Customer Rejection during Failure

  • Original language description

    The paper deals with modelling of a finite single-server queueing system with a server subject to breakdowns. Customer interarrival times and customer service times follow the Erlang distribution defined by the shape parameter k=2 and the scale parameter2? or 2? respectively. It is considered that server failures can occur when the server is either idle or busy ? operate-independent failures. Further it is assumed that the system empties when the server is broken (all customers are being rejected). Random variables relevant to server failures and repairs are exponentially distributed. In the paper the state transition diagram is shown, the system of linear equations describing the system in the steady state and the formulas for several performance measures computation are presented. At the end of the paper there are shown some graphical dependencies.

  • Czech name

  • Czech description

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

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2011

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Sborník vědeckých prací Vysoké školy báňské - Technické univerzity Ostrava. Řada strojní

  • ISSN

    1210-0471

  • e-ISSN

  • Volume of the periodical

    57

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    CZ - CZECH REPUBLIC

  • Number of pages

    7

  • Pages from-to

    41-47

  • UT code for WoS article

  • EID of the result in the Scopus database