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Cumulative Residual Entropy of the Residual Lifetime of a Mixed System at the System Level
Recently, there has been growing interest in alternative measures of uncertainty, including cumulative residual entropy. In this paper, we consider a mixed system consisting of n components, assuming that all components are operational at time t. By utilizing the system signature, we are able to com...
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/PMC10377853/ https://www.ncbi.nlm.nih.gov/pubmed/37509980 http://dx.doi.org/10.3390/e25071033 |
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author | Kayid, Mohamed Alshehri, Mashael A. |
author_facet | Kayid, Mohamed Alshehri, Mashael A. |
author_sort | Kayid, Mohamed |
collection | PubMed |
description | Recently, there has been growing interest in alternative measures of uncertainty, including cumulative residual entropy. In this paper, we consider a mixed system consisting of n components, assuming that all components are operational at time t. By utilizing the system signature, we are able to compute the cumulative residual entropy of a mixed system’s remaining lifetime. This metric serves as a valuable tool for evaluating the predictability of a system’s lifetime. We study several results related to the cumulative residual entropy of mixed systems, including expressions, limits, and order properties. These results shed light on the behavior of the measure and provide insights into the predictability of mixed systems. In addition, we propose a criterion for selecting a preferred system based on the relative residual cumulative entropy. This criterion is closely related to the parallel system and provides a practical way to choose the best system configuration. Overall, the present study of cumulative residual entropy and the proposed selection criterion provide valuable insights into the predictability of mixed systems and can be applied in various fields. |
format | Online Article Text |
id | pubmed-10377853 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-103778532023-07-29 Cumulative Residual Entropy of the Residual Lifetime of a Mixed System at the System Level Kayid, Mohamed Alshehri, Mashael A. Entropy (Basel) Article Recently, there has been growing interest in alternative measures of uncertainty, including cumulative residual entropy. In this paper, we consider a mixed system consisting of n components, assuming that all components are operational at time t. By utilizing the system signature, we are able to compute the cumulative residual entropy of a mixed system’s remaining lifetime. This metric serves as a valuable tool for evaluating the predictability of a system’s lifetime. We study several results related to the cumulative residual entropy of mixed systems, including expressions, limits, and order properties. These results shed light on the behavior of the measure and provide insights into the predictability of mixed systems. In addition, we propose a criterion for selecting a preferred system based on the relative residual cumulative entropy. This criterion is closely related to the parallel system and provides a practical way to choose the best system configuration. Overall, the present study of cumulative residual entropy and the proposed selection criterion provide valuable insights into the predictability of mixed systems and can be applied in various fields. MDPI 2023-07-09 /pmc/articles/PMC10377853/ /pubmed/37509980 http://dx.doi.org/10.3390/e25071033 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. Cumulative Residual Entropy of the Residual Lifetime of a Mixed System at the System Level |
title | Cumulative Residual Entropy of the Residual Lifetime of a Mixed System at the System Level |
title_full | Cumulative Residual Entropy of the Residual Lifetime of a Mixed System at the System Level |
title_fullStr | Cumulative Residual Entropy of the Residual Lifetime of a Mixed System at the System Level |
title_full_unstemmed | Cumulative Residual Entropy of the Residual Lifetime of a Mixed System at the System Level |
title_short | Cumulative Residual Entropy of the Residual Lifetime of a Mixed System at the System Level |
title_sort | cumulative residual entropy of the residual lifetime of a mixed system at the system level |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10377853/ https://www.ncbi.nlm.nih.gov/pubmed/37509980 http://dx.doi.org/10.3390/e25071033 |
work_keys_str_mv | AT kayidmohamed cumulativeresidualentropyoftheresiduallifetimeofamixedsystematthesystemlevel AT alshehrimashaela cumulativeresidualentropyoftheresiduallifetimeofamixedsystematthesystemlevel |