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: | Alfa Attahiru Sule, Xue Jungong |
Keywords: | MAP/G/1 queues |
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.