• DocumentCode
    2046416
  • Title

    Analysis of a single server batch Markovian arrival process with feedback

  • Author

    Arivudainambi, D. ; Godhandaraman, P.

  • Author_Institution
    Dept. of Math., Anna Univ., Chennai, India
  • Volume
    6
  • fYear
    2011
  • fDate
    8-10 April 2011
  • Firstpage
    157
  • Lastpage
    160
  • Abstract
    In this paper, we consider a batch Markovian arrival process with feedback. The Markov chain embedded at service completion epochs are investigated. The stationary queue length distribution and loss probability are obtained. The effects of various performances are analyzed. They confirm importance of special treatment of the models with the batch Markovian arrival process (BMAP) and feedback. Feedback queues play an important role in real life service systems, where customers may require repeated services.
  • Keywords
    Markov processes; probability; queueing theory; batch Markovian arrival process; feedback; loss probability; stationary queue length distribution; Communication networks; Computational modeling; Computers; Markov processes; Mathematical model; Servers; Batch Markovian arrival process; Markov chain; feedback;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Electronics Computer Technology (ICECT), 2011 3rd International Conference on
  • Conference_Location
    Kanyakumari
  • Print_ISBN
    978-1-4244-8678-6
  • Electronic_ISBN
    978-1-4244-8679-3
  • Type

    conf

  • DOI
    10.1109/ICECTECH.2011.5942072
  • Filename
    5942072