| Article ID: | iaor2003807 |
| Country: | China |
| Volume: | 29 |
| Issue: | 4 |
| Start Page Number: | 24 |
| End Page Number: | 27 |
| Publication Date: | Oct 2001 |
| Journal: | Journal of Henan Normal University |
| Authors: | Yu Haibo, Li Yukai |
| Keywords: | markov processes |
In this paper we study a discrete-time repairable queueing system with a Markovian arrival process. Provided that the lifetime of a server follows a geometric distribution, the service time and the repair time follow discrete phase type distributions. We first consider the generalized service time and prove that it has discrete phase type variables. Then we obtain the steady state distribution of queue length. At the same time we give the mean waiting time and the stable availability of the system.