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Condition-based switching and replacement policies for a two-unit warm standby redundant system subject to non-instantaneous switchover

ISSN号：1003-353X
期刊名称：《半导体技术》
时间：0
分类：TP277[自动化与计算机技术—控制科学与工程;自动化与计算机技术—检测技术与自动化装置] TQ461[化学工程—制药化工]
作者机构：[1]Department of Automation, Tsinghua National Laboratoryfor Information Science and Technology, Tsinghua University,Beijing 100084, China
相关基金：supported by the National Natural Science Foundation of China(61210012,61021063,61290324);the National Science and Technology Major Project(2011ZX02504-008)

作者： Yunpeng Jiang Maoyin Chen Donghua Zhou[1]

关键词：操作单元, 冗余系统, 替换策略, 热备份, 切换, 瞬时, 基础, 数学优化模型, Condition-based maintenance , Warm standby redundant system , Non-instantaneous switchover , Continuous monitoring , Gamma process

中文摘要：

这研究调查为二单位的温暖的待机的基于条件的切换和代替政策冗余的系统题目到非即时的替换。系统由二个相同单位组成：一个人正在操作联合起来，当其它是待机联合起来时。二个单位在连续监视和 Gamma 过程描述的降级下面。切换并且代替政策基于操作单位的降级水平。切换和代替阀值是最小化长期间决定的决定变量期望的费用率。我们第一安装数学优化模型然后分析代替阀值的全球最佳的解决方案，以及为交换阀值(STH ) 的本地最佳的解决方案的存在和唯一条件。最后，我们发现最佳的代替阀值是更大更好，但是最佳的 STH 取决于能容易被计算的一些最佳的条件。数字例子被提供证实最佳的 STH 上的非即时的替换和费用比率的政策，和效果数字地被讨论。

英文摘要：

This study investigates condition-based switching and replacement policies for a two-unit warm standby redundant system subject to non-instantaneous switchover. The system consists of two identical units： one is operating unit, while the other is standby unit. Two units are under continuous monitoring and degradation described by Gamma processes. Both switching and replacement policies are based on the degradation level of the operating unit. The switching and replacement thresholds are deci- sion variables decided by minimizing the long-run expected cost rate. We first setup the mathematical optimization model and then analyze the global optimal solution of replacement threshold, as well as the existence and uniqueness condition for the local optimal solution of switching threshold （STH）. Finally, we find that the optimal replacement threshold is ＂the bigger the better＂, but the optimal STH depends on some optimal conditions which can be easily computed. Numerical examples are provided to verify the policies, and the effects of non- instantaneous switchover and cost ratio on optimal STHs are numerically discussed.