Abstract
In this work, a series system consisted of n non-identical and dependent units is analyzed. The lifetimes of the system units are assumed to follow an exponential distribution with fuzzy parameters. Hougaard's copula is used to obtain the reliability function of the system. The reliability of the system is improved by using reduction, k cold standby duplication, and mixed standby duplication methods. The reliability equivalence factors for the system are introduced. An algorithm is established to show how to obtain the intervals for the fuzzy reliability equivalence factors for the introduced model. An application based on real data is introduced to show the results and to compare different improvement methods.
| Original language | English |
|---|---|
| Pages (from-to) | 251-266 |
| Number of pages | 16 |
| Journal | Pakistan Journal of Statistics |
| Volume | 36 |
| Issue number | 3 |
| State | Published - Jul 2020 |
Keywords
- Cold standby
- Copula
- Equivalence factors
- Exponential distribution
- Fuzzy number
- Mixed standby
- Reduction method
- Reliability
- Series system