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Cost analysis of a repairable warm standby k-out-of-n: G and 2-out-of-4: G systems in series configuration under catastrophic failure using copula repair

机译:成本分析可修warm备用k-out-of-n: G和2-out-of-4: G系统系列使用配置在灾难性故障介体修复

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摘要

This paper concerns with a complex system that comprises two subsystems in series configuration. First subsystem has n identical units that are working under k-out-of-n: G policy. All the units are connected in parallel through a switching device, which may be unreliable as and when required. Second subsystem has four identical units that are working under 2-out-of-4: G policy. Failure rates of all the units in both the subsystems are assumed to be constant and follow exponential distribution, while the repair supports general distribution and Goumbel-Hougard copula family distribution. There may be an unpredictable catastrophic failure of the system at any time (t). Failed components are replaced by the available warm standbys and hence are restored as good as new components after repair. A novel efficient technique is used to investigate the system and evaluate availability and reliability of the system, mean time to failure and profit analysis using the supplementary variable technique, Laplace transforms and copula methodology. For such a system, the evaluation of the reliability characteristics is quite complex due to availability of n - k+1 states for first subsystem as well as a finite series developed during solution unlike as done in the past. Numerical examples are illustrated with graphs for various values of n and k. It can provide a reference for the decision-makers when developing maintenance policies.
机译:本文对一个复杂的系统由两个子系统串联配置。第一个子系统有n个相同的单位工作在k-out-of-n: G政策。并行连接通过一个开关呢设备,这可能是不可靠的,必需的。单位工作在2-out-of-4: G政策。假定为常数和子系统服从指数分布,修理支持通用分布和Goumbel-Hougard连系动词家族分布。系统的不可预知的灾难性故障在任何时间(t)失败的组件所取代可用的热备用,因此修复后恢复好新组件。一种新型高效的技术用于调查系统和评估的可用性和系统的可靠性,意味着时间失败和利润分析使用辅助变量法,拉普拉斯转换和介体的方法。系统评价的可靠性特征非常复杂的原因可用性n - k + 1国家放在第一位子系统以及一系列有限的开发在解决方案与过去完成。数值例子和图表说明针对各种n和k值,它可以提供决策者在开发参考维修政策。

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