An Innovative Model of Reliability—The Pseudo-Entropic Model
There is an entire field of literature on reliability models. Building reliability models is most frequently done by starting from the failure rate (or hazard rate). Creating a reliability model starts with the specific type of product behavior over time, so there are model classes for the specifics...
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MDPI AG
2019-08-01
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Series: | Entropy |
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Online Access: | https://www.mdpi.com/1099-4300/21/9/846 |
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author | Irina-Maria Dragan Alexandru Isaic-Maniu |
author_facet | Irina-Maria Dragan Alexandru Isaic-Maniu |
author_sort | Irina-Maria Dragan |
collection | DOAJ |
description | There is an entire field of literature on reliability models. Building reliability models is most frequently done by starting from the failure rate (or hazard rate). Creating a reliability model starts with the specific type of product behavior over time, so there are model classes for the specifics of different product categories: electronic, mechanical products, mixed systems etc. The aim of this paper was to develop a statistical model which would allow the study of the durability of products, and particularly, in the present case, of electrical switches. The procedure has a broad range of applicability and can be extended to whole categories of products that have components both in motion, and therefore subject to wear, and also that bear additional stress. In our case, an electrical switch involves the shock of the electrical contact, which additionally requires the constituent material. This article started from an indicator similar to entropy (an entropy-like transformation) that was developed according to the stated purpose of the paper. We believe that the appropriate name for the proposed indicator is pseudo-entropic transformation, as we operated with the derivative of <i>g</i>(<i>t</i>), which is basically a probability density. The model developed herein is original and, from a practical point of view, it is convenient for treating and developing analytical and practical applications for classes of products subjected, during use, to a process of wear, degradation, and damage by use. |
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institution | Directory Open Access Journal |
issn | 1099-4300 |
language | English |
last_indexed | 2024-04-11T13:22:36Z |
publishDate | 2019-08-01 |
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series | Entropy |
spelling | doaj.art-b889c494bff84e52afc53b6e93a5eb612022-12-22T04:22:10ZengMDPI AGEntropy1099-43002019-08-0121984610.3390/e21090846e21090846An Innovative Model of Reliability—The Pseudo-Entropic ModelIrina-Maria Dragan0Alexandru Isaic-Maniu1Department of Statistics and Econometrics, The Bucharest University of Economic Studies, 010374 Bucharest, RomaniaCentre of Industry and Services Economy, National Institute of Economic Research, The Romanian Academy, 050711 Bucharest, RomaniaThere is an entire field of literature on reliability models. Building reliability models is most frequently done by starting from the failure rate (or hazard rate). Creating a reliability model starts with the specific type of product behavior over time, so there are model classes for the specifics of different product categories: electronic, mechanical products, mixed systems etc. The aim of this paper was to develop a statistical model which would allow the study of the durability of products, and particularly, in the present case, of electrical switches. The procedure has a broad range of applicability and can be extended to whole categories of products that have components both in motion, and therefore subject to wear, and also that bear additional stress. In our case, an electrical switch involves the shock of the electrical contact, which additionally requires the constituent material. This article started from an indicator similar to entropy (an entropy-like transformation) that was developed according to the stated purpose of the paper. We believe that the appropriate name for the proposed indicator is pseudo-entropic transformation, as we operated with the derivative of <i>g</i>(<i>t</i>), which is basically a probability density. The model developed herein is original and, from a practical point of view, it is convenient for treating and developing analytical and practical applications for classes of products subjected, during use, to a process of wear, degradation, and damage by use.https://www.mdpi.com/1099-4300/21/9/846failure rateentropy-like transformationRiccati equationreliability function |
spellingShingle | Irina-Maria Dragan Alexandru Isaic-Maniu An Innovative Model of Reliability—The Pseudo-Entropic Model Entropy failure rate entropy-like transformation Riccati equation reliability function |
title | An Innovative Model of Reliability—The Pseudo-Entropic Model |
title_full | An Innovative Model of Reliability—The Pseudo-Entropic Model |
title_fullStr | An Innovative Model of Reliability—The Pseudo-Entropic Model |
title_full_unstemmed | An Innovative Model of Reliability—The Pseudo-Entropic Model |
title_short | An Innovative Model of Reliability—The Pseudo-Entropic Model |
title_sort | innovative model of reliability the pseudo entropic model |
topic | failure rate entropy-like transformation Riccati equation reliability function |
url | https://www.mdpi.com/1099-4300/21/9/846 |
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