Abstract
Component importance measures are widely used in engineering and reliability analysis in testing the safety of running systems. There are several component importance measures to realize which components in a coherent system play a more important role than the others. The most common ones belong to Birnbaum and Barlow & Proschan. In this paper a new method, based on the number of path sets with exactly i working components such that the component at sth place functions, has been proposed to evaluate these two measures for all types of systems appearing in the literature.
| Original language | English |
|---|---|
| Pages (from-to) | 8446-8457 |
| Number of pages | 12 |
| Journal | Communications in Statistics - Theory and Methods |
| Volume | 51 |
| Issue number | 23 |
| DOIs | |
| Publication status | Published - 2022 |
| Externally published | Yes |
Keywords
- Barlow and Proschan importance
- Birnbaum importance
- Component importance
- consecutive systems
- system signature