| Article ID: | iaor20021472 |
| Country: | United States |
| Volume: | 17 |
| Issue: | 1 |
| Start Page Number: | 1 |
| End Page Number: | 24 |
| Publication Date: | Jan 2001 |
| Journal: | Communications in Statistics - Stochastic Models |
| Authors: | Makimoto Naoki, Takahashi Yukio, Fujimoto Kou |
| Keywords: | queues: theory |
A sufficient condition is proved for geometric decay of the steady-state probabilities in a quasi-birth-and-death process having a countable number of phases in each level. As an example, the result is applied to a two-queue system with shorter queue discipline.