On Importance of Sensitivity Analysis on an Example of a <i>k</i>-out-of-<i>n</i> System
Reliability and sensitivity issues are very close and important problems in any technical system. The system’s sensitivity is understood as the dependence of its behavior on changes in some internal parameters. To perform sensitivity analysis, a general procedure based on a theoretical and numerical...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-02-01
|
| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/11/5/1100 |
| _version_ | 1797614867482411008 |
|---|---|
| author | Nika Ivanova |
| author_facet | Nika Ivanova |
| author_sort | Nika Ivanova |
| collection | DOAJ |
| description | Reliability and sensitivity issues are very close and important problems in any technical system. The system’s sensitivity is understood as the dependence of its behavior on changes in some internal parameters. To perform sensitivity analysis, a general procedure based on a theoretical and numerical study is proposed and applied to a repairable <i>k</i>-out-of-<i>n</i> model. The results show the asymptotic insensitivity of the non-stationary and stationary characteristics of the system reliability to the shape of the repair-time distribution, as well as to the value of its coefficient of variation at a fixed mean. The proposed methodology can be useful to researchers and engineers at the designing stage of real systems, as well as applied to other stochastic reliability models. |
| first_indexed | 2024-03-11T07:18:20Z |
| format | Article |
| id | doaj.art-2aa52224427f4a2194f99158d7a69dab |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T07:18:20Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-2aa52224427f4a2194f99158d7a69dab2023-11-17T08:08:12ZengMDPI AGMathematics2227-73902023-02-01115110010.3390/math11051100On Importance of Sensitivity Analysis on an Example of a <i>k</i>-out-of-<i>n</i> SystemNika Ivanova0Department of Applied Probability and Informatics, Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya Str., 117198 Moscow, RussiaReliability and sensitivity issues are very close and important problems in any technical system. The system’s sensitivity is understood as the dependence of its behavior on changes in some internal parameters. To perform sensitivity analysis, a general procedure based on a theoretical and numerical study is proposed and applied to a repairable <i>k</i>-out-of-<i>n</i> model. The results show the asymptotic insensitivity of the non-stationary and stationary characteristics of the system reliability to the shape of the repair-time distribution, as well as to the value of its coefficient of variation at a fixed mean. The proposed methodology can be useful to researchers and engineers at the designing stage of real systems, as well as applied to other stochastic reliability models.https://www.mdpi.com/2227-7390/11/5/1100sensitivity analysisstochastic modelssystem reliability<i>k</i>-out-of-<i>n</i> systemarbitrary distributed repair timenumerical modeling |
| spellingShingle | Nika Ivanova On Importance of Sensitivity Analysis on an Example of a <i>k</i>-out-of-<i>n</i> System Mathematics sensitivity analysis stochastic models system reliability <i>k</i>-out-of-<i>n</i> system arbitrary distributed repair time numerical modeling |
| title | On Importance of Sensitivity Analysis on an Example of a <i>k</i>-out-of-<i>n</i> System |
| title_full | On Importance of Sensitivity Analysis on an Example of a <i>k</i>-out-of-<i>n</i> System |
| title_fullStr | On Importance of Sensitivity Analysis on an Example of a <i>k</i>-out-of-<i>n</i> System |
| title_full_unstemmed | On Importance of Sensitivity Analysis on an Example of a <i>k</i>-out-of-<i>n</i> System |
| title_short | On Importance of Sensitivity Analysis on an Example of a <i>k</i>-out-of-<i>n</i> System |
| title_sort | on importance of sensitivity analysis on an example of a i k i out of i n i system |
| topic | sensitivity analysis stochastic models system reliability <i>k</i>-out-of-<i>n</i> system arbitrary distributed repair time numerical modeling |
| url | https://www.mdpi.com/2227-7390/11/5/1100 |
| work_keys_str_mv | AT nikaivanova onimportanceofsensitivityanalysisonanexampleofaikioutofinisystem |