Reliability modeling for a repairable (k_1, k_2)-out-of-n: G system with phase-type vacation time

Guirong Wang; Linmin Hu; Tingting Zhang; Yuyu Wang

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Reliability modeling for a repairable (k_1, k_2)-out-of-n: G system with phase-type vacation time

机译：具有相位型度假时间的可修复（K_1，K_2）-OUT-N：G系统的可靠性建模

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摘要

This paper proposes a novel mathematical model for reliability dealing with a (k_1,k_2)-out-of-n: G repairable system consisting of two different types of components. It is assumed that the working times of two different types of components are distributed exponentially with different parameters. In the case of failures occurring in components, a repairman is assigned to repair them. The repair time of each failed component is governed by the same exponential distribution. On the other hand, the repairman's vacation time follows a phase-type distribution. The system operates if and only if at least k_1 type 1 components and k_2 type 2 components function simultaneously. The system reliability measures are analyzed using Markov process theory and matrix analytical method. An illustrative example related to the solar power generation system is provided to examine the effectiveness and the applicability of the proposed model.

机译：本文提出了一种新的数学模型，用于处理（k_1，k_2）-out-n：g可修复系统，由两种不同类型的组件组成。假设两种不同类型组件的工作时间以不同的参数指数地分布。在组件中发生故障的情况下，将分配修理工以修复它们。每个失败组件的修复时间由相同的指数分布管理。另一方面，修理工的休假时间遵循相位类型的分布。如果且仅当至少k_1类型1组件和k_2类型2分量同时函数，则系统操作。使用马尔可夫过程理论和矩阵分析方法分析了系统可靠性措施。提供与太阳能发电系统相关的说明性示例以检查所提出的模型的有效性和适用性。

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来源
《Applied Mathematical Modelling》 |2021年第3期|311-321|共11页
作者
Guirong Wang; Linmin Hu; Tingting Zhang; Yuyu Wang;
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作者单位

School of Science Yanshan University Qinhuangdao Hebei 066004 PR China;

School of Science Yanshan University Qinhuangdao Hebei 066004 PR China;

School of Science Yanshan University Qinhuangdao Hebei 066004 PR China;

College of Mathematical Science Tianjin Normal University Tianjin 300387 PR China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
k-out-of-n: C system; Multiple vacations; Matrix analytical method; Phase-type distribution; Markov model;

机译：K-OUT-N：C系统;多个假期;矩阵分析方法;相型分布;马尔可夫模型;

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2. A cold standby repairable system with the repairman having multiple vacations and operational, repair, and vacation times following phase-type distributions [J] . Liu Baoliang, Cui Lirong, Wen Yanqing, Communications in Statistics . 2016,第3a4期

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4. The reliability analysis of repairable k-out-of-n systems with component lifetimes and repair time subjected to phase-type distribution [C] . Wei Wang, Tong Chen, Di Peng IEEE International Conference on Industrial Engineering and Engineering Management . 2016

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Reliability modeling for a repairable (k_1, k_2)-out-of-n: G system with phase-type vacation time

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