系统层面上使用过的可靠性系统的Tsallis熵。

Tsallis Entropy of a Used Reliability System at the System Level.

作者信息

Kayid Mohamed, Alshehri Mashael A

机构信息

Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia.

Department of Quantitative Analysis, College of Business Administration, King Saud University, Riyadh 11362, Saudi Arabia.

出版信息

Entropy (Basel). 2023 Mar 23;25(4):550. doi: 10.3390/e25040550.

DOI:10.3390/e25040550

PMID:37190337

原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10138169/

Abstract

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 components and having a property where at time t, 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.

摘要

近年来，测量技术系统寿命的不确定性变得越来越重要。该标准对于衡量系统在其整个寿命期间的可预测性很有用。在本文中，我们假设一个由组件组成的连贯系统，该系统具有这样一种特性：在时间t时，系统的所有组件都处于运行状态。然后，我们应用系统签名来确定并使用连贯系统剩余寿命的Tsallis熵。它是衡量系统寿命可预测性的一个有用标准。我们研究了各种结果，比如上述熵的界和序性质。这项工作的结果可用于比较两个具有已知签名的连贯系统剩余寿命的可预测性。