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.