• Title of article

    BMAP/SM/1 queue with Markovian input of disasters and non-instantaneous recovery

  • Author/Authors

    Dudin، نويسنده , , A.N. and Karolik، نويسنده , , A.V.، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2001
  • Pages
    14
  • From page
    19
  • To page
    32
  • Abstract
    We consider a BMAP/SM/1 system which is exposed to disasters’ arrivals. A disaster causes all customers to leave the system instantaneously. After a disaster appearance the system is recovering during some random time interval. The variants of accumulating and losing customers during the recover period are considered. The embedded and arbitrary time queue length distributions as well as the average output rate and loss probability are calculated. The results are illustrated by numerical examples.
  • Keywords
    Negative arrivals , BMAP/SM/1 queue , Markovian arrival process of disasters , Recovering
  • Journal title
    Performance Evaluation
  • Serial Year
    2001
  • Journal title
    Performance Evaluation
  • Record number

    1569538