| Article ID: | iaor20062331 |
| Country: | China |
| Volume: | 14 |
| Issue: | 1 |
| Start Page Number: | 8 |
| End Page Number: | 12 |
| Publication Date: | Feb 2005 |
| Journal: | Operations Research and Management Science |
| Authors: | Zhu Yijun, Xu Xiuzhen |
| Keywords: | vacation models, GI/G/1 queues |
In this paper, first we transform the GeomX/G(Geom/G)/1 repairable queue with exhaustive service discipline and adaptive multistage vacations into the GeomX/G/1 queue. By means of imbedded Markov chains, in the steady state, we obtain the probability generating function of the system size. In addition, the stable availability of the system is also provided.