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About a Modification of Er/Es/1/m Queueing System Subject to Breakdowns

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27230%2F12%3A86083521" target="_blank" >RIV/61989100:27230/12:86083521 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    About a Modification of Er/Es/1/m Queueing System Subject to Breakdowns

  • Original language 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 r or s and the scale parameter r? or s? respectively. We consider that server failures can occur when the server is either idle or busy (so called operate-independent failures). Further we assume that service of a customer is interrupted by the occurrence of the server failure and the system empties when the server is broken (we call it as the failure-empty discipline). We assume that random variables relevant to server failures and repairs are exponentially distributed. We use two approaches - analytical approach using methodof stages and simulation approach using coloured Petri nets. We use both approaches to compare and validation created models. At the end of the paper some reached results are shown.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BB - Applied statistics, operational research

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2012

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Proceedings of 30th International Conference Mathematical Methods in Economics : 11-13 September 2012, Karviná, Czech Republic

  • ISBN

    978-80-7248-779-0

  • ISSN

  • e-ISSN

  • Number of pages

    6

  • Pages from-to

    117-122

  • Publisher name

    Slezská univerzita v Opavě

  • Place of publication

    Opava

  • Event location

    Karviná

  • Event date

    Sep 11, 2012

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article