| Article ID: | iaor20063683 |
| Country: | China |
| Volume: | 26 |
| Issue: | 4 |
| Start Page Number: | 316 |
| End Page Number: | 319 |
| Publication Date: | Jul 2005 |
| Journal: | Journal of Jiangsu University Natural Science Edition |
| Authors: | Zhu Yijun, Xu Xiuzhen |
| Keywords: | markov processes |
Based on the GeomX/G/1 queuing system with exhaustive service discipline and adaptive multistage vacations, the GeomX/G(Geom/G)/1 repairable queuing system with exhaustive service discipline and adaptive multistage vacations is considered. By means of imbedded Markov chains, in the steady state, the PGF of the system size is obtained. It shows that the system size can be decomposed into two random variables. The stable availability of the system is also provided.