Reliability of three-state k-out-of-n:G system with non-homogeneous Markov dependent components
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915104713342976 |
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| author | Boulahia, Abdelmoumene Belaloui, Soheir |
| author_facet | Boulahia, Abdelmoumene Belaloui, Soheir |
| contents | In this paper, we study the reliability of a three-state k-out-of-n:G system. We consider the situation where the system components are non-homogeneous Markov dependent, and we derive a closed-form formula for the system reliability, including increasing three-state k-out-of-n:G system and decreasing three-state k-out-of-n:G system. Our study is based on the probability generating function method. Two numerical examples are presented to demonstrate the use of the formula. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_09105 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Reliability of three-state k-out-of-n:G system with non-homogeneous Markov dependent components Boulahia, Abdelmoumene Belaloui, Soheir Probability In this paper, we study the reliability of a three-state k-out-of-n:G system. We consider the situation where the system components are non-homogeneous Markov dependent, and we derive a closed-form formula for the system reliability, including increasing three-state k-out-of-n:G system and decreasing three-state k-out-of-n:G system. Our study is based on the probability generating function method. Two numerical examples are presented to demonstrate the use of the formula. |
| title | Reliability of three-state k-out-of-n:G system with non-homogeneous Markov dependent components |
| topic | Probability |
| url | https://arxiv.org/abs/2501.09105 |