Discrete time three-state k-out-of-n system’s failure and numbers of components in each state

IF 2.1 2区数学 Q1 MATHEMATICS, APPLIED

Journal of Computational and Applied Mathematics Pub Date : 2024-09-06 DOI:10.1016/j.cam.2024.116255

Agnieszka Goroncy, Krzysztof Jasiński

引用次数: 0

Abstract

In this paper we consider three-state $k$ -out-of- $n$ system composed of components which lifetimes are modeled by independent and identically distributed discrete random variables. The primary focus is the random vector representing the numbers of components in each state. We derive its joint distribution. For illustration, we provide examples of the systems with components with geometrically distributed lifetimes following the Markov degradation process.

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离散时间三状态 k-out-of-n 系统的故障和各状态下的组件数

在本文中，我们考虑了由元件组成的三态 k-out-of-n 系统，这些元件的寿命由独立且同分布的离散随机变量建模。主要重点是代表每个状态下组件数量的随机向量。我们推导出其联合分布。为了说明问题，我们举例说明了具有几何分布式寿命的组件的系统，这些组件遵循马尔可夫退化过程。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Computational and Applied Mathematics 数学-应用数学

CiteScore

5.40

自引率

4.20%

发文量

437

审稿时长

3.0 months

期刊介绍： The Journal of Computational and Applied Mathematics publishes original papers of high scientific value in all areas of computational and applied mathematics. The main interest of the Journal is in papers that describe and analyze new computational techniques for solving scientific or engineering problems. Also the improved analysis, including the effectiveness and applicability, of existing methods and algorithms is of importance. The computational efficiency (e.g. the convergence, stability, accuracy, ...) should be proved and illustrated by nontrivial numerical examples. Papers describing only variants of existing methods, without adding significant new computational properties are not of interest. The audience consists of: applied mathematicians, numerical analysts, computational scientists and engineers.