A Busy period analysis for the state dependent M/M/1/K queue

Ahmad Al Hanbali, Onno Boxma

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Abstract

In this paper, we study the transient behavior of a state dependent M/M/1/K queue during the busy period. We derive in closed-form the joint transform of the length of the busy period, the number of customers served during the busy period, and the number of losses during the busy period. For two special cases called the threshold policy and the static policy we determine simple expressions for their joint transform.
Original languageUndefined
Pages (from-to)1-6
JournalOperations research letters
Volume38
Issue number1
DOIs
Publication statusPublished - 2010

Keywords

  • Busy period
  • Performance metrics
  • IR-74583
  • METIS-262113
  • Absorbing Markov chains
  • Level dependent
  • M/M/1/K queue

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