Reliability and Failure Probability Functions of the m-Consecutive-k-out-of-n: F Linear and Circular Systems
The m-consecutive-k-out-of-n: F linear and circular system consists of n sequentially connected components; the components are ordered on a line or a circle; it fails if there are at least m non-overlapping runs of consecutive-k failed components. This paper proposes the reliability and failure prob...
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| Format: | Article |
| Language: | Arabic |
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College of Science for Women, University of Baghdad
2021-06-01
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| Series: | Baghdad Science Journal |
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| Online Access: | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/5023 |
| _version_ | 1818567507236093952 |
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| author | Imad I. H. Nashwan |
| author_facet | Imad I. H. Nashwan |
| author_sort | Imad I. H. Nashwan |
| collection | DOAJ |
| description | The m-consecutive-k-out-of-n: F linear and circular system consists of n sequentially connected components; the components are ordered on a line or a circle; it fails if there are at least m non-overlapping runs of consecutive-k failed components. This paper proposes the reliability and failure probability functions for both linearly and circularly m-consecutive-k-out-of-n: F systems. More precisely, the failure states of the system components are separated into two collections (the working and the failure collections); where each one is defined as a collection of finite mutual disjoint classes of the system states. Illustrative example is provided. |
| first_indexed | 2024-12-14T06:24:18Z |
| format | Article |
| id | doaj.art-316a9a0a8c1e40baa337a34e56ef589f |
| institution | Directory Open Access Journal |
| issn | 2078-8665 2411-7986 |
| language | Arabic |
| last_indexed | 2024-12-14T06:24:18Z |
| publishDate | 2021-06-01 |
| publisher | College of Science for Women, University of Baghdad |
| record_format | Article |
| series | Baghdad Science Journal |
| spelling | doaj.art-316a9a0a8c1e40baa337a34e56ef589f2022-12-21T23:13:43ZaraCollege of Science for Women, University of BaghdadBaghdad Science Journal2078-86652411-79862021-06-0118210.21123/bsj.2021.18.2.0430Reliability and Failure Probability Functions of the m-Consecutive-k-out-of-n: F Linear and Circular SystemsImad I. H. Nashwan0Faculty of Technology and Applied Science, Al Quds Open University-PalestineThe m-consecutive-k-out-of-n: F linear and circular system consists of n sequentially connected components; the components are ordered on a line or a circle; it fails if there are at least m non-overlapping runs of consecutive-k failed components. This paper proposes the reliability and failure probability functions for both linearly and circularly m-consecutive-k-out-of-n: F systems. More precisely, the failure states of the system components are separated into two collections (the working and the failure collections); where each one is defined as a collection of finite mutual disjoint classes of the system states. Illustrative example is provided.https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/5023Consecutive-k-out-of-n: F system, Failure probability Function, Reliability Function, equivalence relations |
| spellingShingle | Imad I. H. Nashwan Reliability and Failure Probability Functions of the m-Consecutive-k-out-of-n: F Linear and Circular Systems Baghdad Science Journal Consecutive-k-out-of-n: F system, Failure probability Function, Reliability Function, equivalence relations |
| title | Reliability and Failure Probability Functions of the m-Consecutive-k-out-of-n: F Linear and Circular Systems |
| title_full | Reliability and Failure Probability Functions of the m-Consecutive-k-out-of-n: F Linear and Circular Systems |
| title_fullStr | Reliability and Failure Probability Functions of the m-Consecutive-k-out-of-n: F Linear and Circular Systems |
| title_full_unstemmed | Reliability and Failure Probability Functions of the m-Consecutive-k-out-of-n: F Linear and Circular Systems |
| title_short | Reliability and Failure Probability Functions of the m-Consecutive-k-out-of-n: F Linear and Circular Systems |
| title_sort | reliability and failure probability functions of the m consecutive k out of n f linear and circular systems |
| topic | Consecutive-k-out-of-n: F system, Failure probability Function, Reliability Function, equivalence relations |
| url | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/5023 |
| work_keys_str_mv | AT imadihnashwan reliabilityandfailureprobabilityfunctionsofthemconsecutivekoutofnflinearandcircularsystems |