具有优先修复纪律的多状态可靠性系统动态分析

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED

Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2023-07-19 DOI:10.1007/s10255-023-1079-y

Aihemaitijiang Yumaier, Ehmet Kasim

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引用次数: 0

摘要

本文研究了一个多状态可修复系统，该系统由两类组件组成，其中一类组件具有优先修复权。首先，我们运用算子半群理论研究了该系统的问题。然后，利用 Greiner 的思想和相应算子的谱特性，我们得到该系统随时间变化的解强烈收敛于其稳态解。

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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Dynamic Analysis of the Multi-state Reliability System with Priority Repair Discipline

This paper considers a multi-state repairable system that is composed of two classes of components, one of which has a priority for repair. First, we investigate the well-posedenss of the system by applying the operator semigroup theory. Then, using Greiner’s idea and the spectral properties of the corresponding operator, we obtain that the time-dependent solution of the system converges strongly to its steady-state solution.

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来源期刊

Acta Mathematicae Applicatae Sinica, English Series 数学-应用数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

3.0 months

期刊介绍： Acta Mathematicae Applicatae Sinica (English Series) is a quarterly journal established by the Chinese Mathematical Society. The journal publishes high quality research papers from all branches of applied mathematics, and particularly welcomes those from partial differential equations, computational mathematics, applied probability, mathematical finance, statistics, dynamical systems, optimization and management science.