| Article ID: | iaor20014216 |
| Country: | China |
| Volume: | 20 |
| Issue: | 1 |
| Start Page Number: | 78 |
| End Page Number: | 86 |
| Publication Date: | Jan 2000 |
| Journal: | Journal of Systems Science and Complexity |
| Authors: | Li Quanlin |
| Keywords: | markov processes |
This paper gives a detailed analysis of a repairable queueing system MAP/PH(M/PH)/2 with interdependent repairs, where there are two servers and one repairman in the system. If one server is in repairing state, the other server will wait for entering repair once it fails. By using quasi-birth-and-death (QBD) processes, we first consider some interdependent properties of the service times between two servers. Then we give the stable availability and the stable failed frequency of the system. Finally, we give the distribution of the first failure time to the system and the associated mean.