Abstract
Purpose: In this paper, new procedures for a fuzzy Markov reward model are introduced to find the reliability measures. Design/methodology/approach: It is supposed that the introduced system consisted of n identical units connected in parallel and each unit has m different types of failures. Also, each unit of the system is allowed to have d levels of degradation from a working state to complete failure. Non-homogeneous Markov reward model is used to construct the system of differential equations of the model. Procedures are proposed to obtain reliability measures of the model under considering that the failure and repair rates of the systems unit are fuzzy. An application is constructed to analyze a system of 2-unit, and results are shown graphically. Findings: Non-homogeneous Markov reward model is used to construct the system of differential equations of the model. Originality/value: All papers in literature assumed Markov reward model with deterministic parameters. In this paper, a generalization of classical Markov reward model is introduced.
| Original language | English |
|---|---|
| Pages (from-to) | 1301-1323 |
| Number of pages | 23 |
| Journal | International Journal of Quality and Reliability Management |
| Volume | 37 |
| Issue number | 9-10 |
| DOIs | |
| State | Published - 7 Dec 2020 |
Keywords
- Degradation
- Exponentiated exponential distribution
- Fuzzy numbers
- Mean availability
- Mean time to failure
- Non-homogeneous Markov reward models
- Parallel system
- Reliability