| 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.