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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...

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Detalles Bibliográficos
Autores principales: Kayid, Mohamed, Alshehri, Mashael A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2023
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.
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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
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