拉普拉斯变换
可靠性工程
可靠性(半导体)
马尔可夫链
系列(地层学)
排队论
变量(数学)
计算机科学
数学优化
马尔可夫过程
数学
工程类
统计
数学分析
古生物学
功率(物理)
物理
量子力学
生物
作者
Shan Gao,Jinting Wang,Jie Zhang
标识
DOI:10.1016/j.ress.2023.109467
摘要
We study a redundant series system with a single repairman in which each primary unit has a standby one. The system is subject to common cause failure (CCF), and it may also break down either when a failed primary unit is unsuccessfully switched to the standby, or when all units are down in a subsystem. If no failed units exist in the system, the repairman takes a delayed vacation. For such a system, by establishing the system's balance equations and solving a second-order linear nonhomogeneous difference equation with variable coefficients, we first obtain the steady-state distribution of the system and derive some reliability and queueing measures. Moreover, by adopting Markov renewal technique, we carry out an extensive reliability analysis and obtain the Laplace-transform of the time to first failure starting from an arbitrary working state. Some numerical examples arising from a solar energy generating system are presented to illustrate the applicability and effectiveness of the proposed model and results. Finally, a cost-benefit discussion is presented from the perspective of economic profit analysis and some managerial insight.
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