Reliability Analysis of a Load-Sharing <i>k</i>-out-of-<i>n</i> System Due to Its Components’ Failure
The reliability characteristics of a <i>k</i>-out-of-<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>n</mi><mo>:</mo><mi>F</mi></mrow></semantic...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-07-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/14/2457 |
| _version_ | 1827605141981757440 |
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| author | Vladimir Rykov Nika Ivanova Irina Kochetkova |
| author_facet | Vladimir Rykov Nika Ivanova Irina Kochetkova |
| author_sort | Vladimir Rykov |
| collection | DOAJ |
| description | The reliability characteristics of a <i>k</i>-out-of-<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>n</mi><mo>:</mo><mi>F</mi></mrow></semantics></math></inline-formula> system are studied in the case when a failure of one of the system’s components leads to increasing the load on others, resulting in their residual lifetimes decreasing. The situation is modeled with the help of changing the components and the system hazard rate function. The reliability function and other reliability characteristics are calculated. Numerical examples are considered. |
| first_indexed | 2024-03-09T06:15:31Z |
| format | Article |
| id | doaj.art-4d29c2a22b1a47cb87ce1c21182ac3f3 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T06:15:31Z |
| publishDate | 2022-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-4d29c2a22b1a47cb87ce1c21182ac3f32023-12-03T11:53:48ZengMDPI AGMathematics2227-73902022-07-011014245710.3390/math10142457Reliability Analysis of a Load-Sharing <i>k</i>-out-of-<i>n</i> System Due to Its Components’ FailureVladimir Rykov0Nika Ivanova1Irina Kochetkova2Department of Applied Probability and Informatics, Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya Str., 117198 Moscow, RussiaDepartment of Applied Probability and Informatics, Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya Str., 117198 Moscow, RussiaDepartment of Applied Probability and Informatics, Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya Str., 117198 Moscow, RussiaThe reliability characteristics of a <i>k</i>-out-of-<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>n</mi><mo>:</mo><mi>F</mi></mrow></semantics></math></inline-formula> system are studied in the case when a failure of one of the system’s components leads to increasing the load on others, resulting in their residual lifetimes decreasing. The situation is modeled with the help of changing the components and the system hazard rate function. The reliability function and other reliability characteristics are calculated. Numerical examples are considered.https://www.mdpi.com/2227-7390/10/14/2457a load-sharing <i>k</i>-out-of-<i>n</i>:<i>F</i> systemdependent failuresreliability characteristicshazard rate function |
| spellingShingle | Vladimir Rykov Nika Ivanova Irina Kochetkova Reliability Analysis of a Load-Sharing <i>k</i>-out-of-<i>n</i> System Due to Its Components’ Failure Mathematics a load-sharing <i>k</i>-out-of-<i>n</i>:<i>F</i> system dependent failures reliability characteristics hazard rate function |
| title | Reliability Analysis of a Load-Sharing <i>k</i>-out-of-<i>n</i> System Due to Its Components’ Failure |
| title_full | Reliability Analysis of a Load-Sharing <i>k</i>-out-of-<i>n</i> System Due to Its Components’ Failure |
| title_fullStr | Reliability Analysis of a Load-Sharing <i>k</i>-out-of-<i>n</i> System Due to Its Components’ Failure |
| title_full_unstemmed | Reliability Analysis of a Load-Sharing <i>k</i>-out-of-<i>n</i> System Due to Its Components’ Failure |
| title_short | Reliability Analysis of a Load-Sharing <i>k</i>-out-of-<i>n</i> System Due to Its Components’ Failure |
| title_sort | reliability analysis of a load sharing i k i out of i n i system due to its components failure |
| topic | a load-sharing <i>k</i>-out-of-<i>n</i>:<i>F</i> system dependent failures reliability characteristics hazard rate function |
| url | https://www.mdpi.com/2227-7390/10/14/2457 |
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