• DocumentCode
    1865316
  • Title

    Matrix-analytical approach to analysis of a single-server retrial queue with non-reliable removable server

  • Author

    Efrosinin, Dmitry ; Semenova, Olga

  • Author_Institution
    Dept. of Prob. Theor. & Math. Stat., Peoples Friendship Univ. of Russia, Moscow, Russia
  • fYear
    2010
  • fDate
    18-20 Oct. 2010
  • Firstpage
    1145
  • Lastpage
    1149
  • Abstract
    In the paper, we deal with M/M/1 queue with linear repeated requests and non-reliable removable server. The server switches off each time the system becomes empty and switches on accordingly to an N-policy (when the number of customers in the system reaches level N). The stationary state distribution for the system considered is obtained via the matrix-analytical approach.
  • Keywords
    matrix algebra; queueing theory; matrix analytical approach; nonreliable removable server; server switches; single-server retrial queue; stationary state distribution; Electric breakdown; Equations; Markov processes; Mathematical model; Orbits; Probability; Servers;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT), 2010 International Congress on
  • Conference_Location
    Moscow
  • ISSN
    2157-0221
  • Print_ISBN
    978-1-4244-7285-7
  • Type

    conf

  • DOI
    10.1109/ICUMT.2010.5676526
  • Filename
    5676526