Name
Abstract | ||
|---|---|---|
We consider repairable Multi-state reliability systems with components, the lifetimes and the repair times of which are -independent. The -th component can be either in the complete failure state 0, in the perfect state , or in one of the degradation states . The sojourn time in any of these states is a random variable following a discrete distribution. Thus, the time behavior of each component is described by a discrete-time semi-Markov chain, and the time behavior of the whole system is described by the vector of paired processes of the semi-Markov chain and the corresponding backward recurrence time process. Using recently obtained results concerning the discrete-time semi-Markov chains, we derive basic reliability measures. Finally, we present some numerical results of our proposed approach in specific reliability systems, namely series, parallel, k-out-of-n:F, and consecutive-k-out-of-n:F systems. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1109/TR.2010.2104210 | IEEE Transactions on Reliability |
Keywords | Field | DocType |
Markov processes,discrete time systems,reliability theory,backward recurrence time process,discrete distribution,discrete-time system,multistate reliability systems,random variable,semi-Markov chain,Backward recurrence time,discrete Markov renewal chain,discrete semi-Markov chain,mean hitting times,multi-state system,reliability measures,repairable system | Kernel (linear algebra),Random variable,Markov process,Probability distribution,Electromagnetic compatibility,Discrete time and continuous time,Statistics,Mathematics,Reliability theory | Journal |
Volume | Issue | ISSN |
60 | 1 | 0018-9529 |
Citations | PageRank | References |
16 | 0.83 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ourania Chryssaphinou | 1 | 16 | 0.83 |
| Nikolaos Limnios | 2 | 83 | 6.93 |
| Sonia Malefaki | 3 | 31 | 4.89 |