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Tsallis Entropy of a Used Reliability System at the System Level
Measuring the uncertainty of the lifetime of technical systems has become increasingly important in recent years. This criterion is useful to measure the predictability of a system over its lifetime. In this paper, we assume a coherent system consisting of n components and having a property where at...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2023
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10138169/ https://www.ncbi.nlm.nih.gov/pubmed/37190337 http://dx.doi.org/10.3390/e25040550 |
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author | Kayid, Mohamed Alshehri, Mashael A. |
author_facet | Kayid, Mohamed Alshehri, Mashael A. |
author_sort | Kayid, Mohamed |
collection | PubMed |
description | Measuring the uncertainty of the lifetime of technical systems has become increasingly important in recent years. This criterion is useful to measure the predictability of a system over its lifetime. In this paper, we assume a coherent system consisting of n components and having a property where at time [Formula: see text] all components of the system are alive. We then apply the system signature to determine and use the Tsallis entropy of the remaining lifetime of a coherent system. It is a useful criterion for measuring the predictability of the lifetime of a system. Various results, such as bounds and order properties for the said entropy, are investigated. The results of this work can be used to compare the predictability of the remaining lifetime between two coherent systems with known signatures. |
format | Online Article Text |
id | pubmed-10138169 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-101381692023-04-28 Tsallis Entropy of a Used Reliability System at the System Level Kayid, Mohamed Alshehri, Mashael A. Entropy (Basel) Article Measuring the uncertainty of the lifetime of technical systems has become increasingly important in recent years. This criterion is useful to measure the predictability of a system over its lifetime. In this paper, we assume a coherent system consisting of n components and having a property where at time [Formula: see text] all components of the system are alive. We then apply the system signature to determine and use the Tsallis entropy of the remaining lifetime of a coherent system. It is a useful criterion for measuring the predictability of the lifetime of a system. Various results, such as bounds and order properties for the said entropy, are investigated. The results of this work can be used to compare the predictability of the remaining lifetime between two coherent systems with known signatures. MDPI 2023-03-23 /pmc/articles/PMC10138169/ /pubmed/37190337 http://dx.doi.org/10.3390/e25040550 Text en © 2023 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Kayid, Mohamed Alshehri, Mashael A. Tsallis Entropy of a Used Reliability System at the System Level |
title | Tsallis Entropy of a Used Reliability System at the System Level |
title_full | Tsallis Entropy of a Used Reliability System at the System Level |
title_fullStr | Tsallis Entropy of a Used Reliability System at the System Level |
title_full_unstemmed | Tsallis Entropy of a Used Reliability System at the System Level |
title_short | Tsallis Entropy of a Used Reliability System at the System Level |
title_sort | tsallis entropy of a used reliability system at the system level |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10138169/ https://www.ncbi.nlm.nih.gov/pubmed/37190337 http://dx.doi.org/10.3390/e25040550 |
work_keys_str_mv | AT kayidmohamed tsallisentropyofausedreliabilitysystematthesystemlevel AT alshehrimashaela tsallisentropyofausedreliabilitysystematthesystemlevel |