Redundancy Allocation of Components with Time-Dependent Failure Rates
The Redundancy Allocation Problem (RAP) is well-known in the field of reliability optimization. In this paper, RAP is investigated assuming that the distribution of the time to failure of the components has the form of an Erlang distribution with a time-dependent rate parameter and considering that...
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MDPI AG
2023-08-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/16/3534 |
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| author | Enrico Zio Hadi Gholinezhad |
| author_facet | Enrico Zio Hadi Gholinezhad |
| author_sort | Enrico Zio |
| collection | DOAJ |
| description | The Redundancy Allocation Problem (RAP) is well-known in the field of reliability optimization. In this paper, RAP is investigated assuming that the distribution of the time to failure of the components has the form of an Erlang distribution with a time-dependent rate parameter and considering that the choice of redundancy for each subsystem can be none, active, standby or mixed. A genetic algorithm is used to solve the problem of optimal allocation. To analyze the effect of the time dependence, some numerical examples are worked out. Then, a case study of RAP from the literature is analyzed. The obtained results show that time dependence of the failure time distribution parameters can lead to significant differences in the optimal redundancy allocation. |
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| format | Article |
| id | doaj.art-55d541c1ef9c45639f8a925589e0442e |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T23:45:32Z |
| publishDate | 2023-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-55d541c1ef9c45639f8a925589e0442e2023-11-19T02:03:28ZengMDPI AGMathematics2227-73902023-08-011116353410.3390/math11163534Redundancy Allocation of Components with Time-Dependent Failure RatesEnrico Zio0Hadi Gholinezhad1Center of Research on Risk and Crises (CRC), MINES-Paris, PSL University, 75272 Paris, FranceDepartment of Industrial Engineering, University of Gonabad, Gonabad 96919-57678, IranThe Redundancy Allocation Problem (RAP) is well-known in the field of reliability optimization. In this paper, RAP is investigated assuming that the distribution of the time to failure of the components has the form of an Erlang distribution with a time-dependent rate parameter and considering that the choice of redundancy for each subsystem can be none, active, standby or mixed. A genetic algorithm is used to solve the problem of optimal allocation. To analyze the effect of the time dependence, some numerical examples are worked out. Then, a case study of RAP from the literature is analyzed. The obtained results show that time dependence of the failure time distribution parameters can lead to significant differences in the optimal redundancy allocation.https://www.mdpi.com/2227-7390/11/16/3534reliability optimizationredundancy allocation problemredundancy strategiesErlang distributiontime-dependent failure ratesgenetic algorithm |
| spellingShingle | Enrico Zio Hadi Gholinezhad Redundancy Allocation of Components with Time-Dependent Failure Rates Mathematics reliability optimization redundancy allocation problem redundancy strategies Erlang distribution time-dependent failure rates genetic algorithm |
| title | Redundancy Allocation of Components with Time-Dependent Failure Rates |
| title_full | Redundancy Allocation of Components with Time-Dependent Failure Rates |
| title_fullStr | Redundancy Allocation of Components with Time-Dependent Failure Rates |
| title_full_unstemmed | Redundancy Allocation of Components with Time-Dependent Failure Rates |
| title_short | Redundancy Allocation of Components with Time-Dependent Failure Rates |
| title_sort | redundancy allocation of components with time dependent failure rates |
| topic | reliability optimization redundancy allocation problem redundancy strategies Erlang distribution time-dependent failure rates genetic algorithm |
| url | https://www.mdpi.com/2227-7390/11/16/3534 |
| work_keys_str_mv | AT enricozio redundancyallocationofcomponentswithtimedependentfailurerates AT hadigholinezhad redundancyallocationofcomponentswithtimedependentfailurerates |