Tail behavior of the queue size distribution in the M/M/mretrial queue

  • Jerim Kim*
  • , Bara Kim
  • , Jeongsim Kim*
  • *Corresponding author for this work

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    We consider an M/M/m retrial queue and investigate the tail asymptotics for the joint distribution of the number of customers in the orbit and the number of busy servers in the steady state. In addition, we illustrate the tail asymptotic behavior through numerical examples.

    Original languageEnglish
    Title of host publicationQTNA 2009 - 4th International Conference on Queueing Theory and Network Applications
    DOIs
    Publication statusPublished - 2009
    EventQTNA 2009 - 4th International Conference on Queueing Theory and Network Applications - Fusionopolis, Singapore
    Duration: 2009 Jul 292009 Jul 31

    Publication series

    NameQTNA 2009 - 4th International Conference on Queueing Theory and Network Applications

    Other

    OtherQTNA 2009 - 4th International Conference on Queueing Theory and Network Applications
    Country/TerritorySingapore
    CityFusionopolis
    Period09/7/2909/7/31

    Keywords

    • Censored markov process
    • M/M/m retrial queue
    • Queue size distribution
    • Tail asymptotics

    ASJC Scopus subject areas

    • Computational Theory and Mathematics
    • Computer Networks and Communications
    • Computer Science Applications

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