Perturbation theory for the asymptotic decay rates in the queues with Markovian arrival process and/or Markovian service process

Perturbation theory for the asymptotic decay rates in the queues with Markovian arrival process and/or Markovian service process

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Article ID: iaor2004814
Country: Netherlands
Volume: 36
Issue: 4
Start Page Number: 287
End Page Number: 301
Publication Date: Dec 2000
Journal: Queueing Systems
Authors: ,
Keywords: MAP/G/1 queues
Abstract:

Three kinds of queues with Markovian arrival process and/or Markovian service process, are considered in this paper. In great generality, their basic steady-state distributions have asymptotically exponential tails. We investigate the sensitivity of these asymptotic decay rates to the small entrywise perturbations in the parameter matrices of the Markovian arrival process.

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