Abstract
In this paper a stochastic failure model for a system with stochastically dependent competing failures is analyzed. The system is subject to two types of failure: degradation failure and catastrophic failure. Both types of failure share an initial common source: an external shock process. This implies that they are stochastically dependent. In our developments of the model, the type of dependency between the two kinds of failure will be characterized. Conditional properties of the two competing risks are also investigated. These properties are the fundamental basis for the development of the maintenance strategy studied in this paper. Considering this maintenance strategy, the long-run average cost rate is derived and the optimal maintenance policy is discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 558-573 |
| Number of pages | 16 |
| Journal | Journal of Applied Probability |
| Volume | 52 |
| Issue number | 2 |
| DOIs | |
| State | Published - 1 Jun 2015 |
Bibliographical note
Publisher Copyright:© Applied Probability Trust 2015.
Keywords
- Baseline failure rate function
- Catastrophic failure
- Condition-based maintenance
- Degradation process
- Dependent competing risks
- External shock process