论文标题
关于具有关键和非关键组件的系统中维护周期的数量
On the Number of Maintenance Cycles in Systems with Critical and Non-Critical Components
论文作者
论文摘要
我们提出了一个新型的数学框架，用于计算具有关键和非关键组件的系统中维护周期的数量，其中“关键”（CR）（CR）意味着组件的失败对系统的操作是致命的，并且在不适合的情况下造成了任何不适式的重复，而当组件的维护尚不适用时（NC），则该组件的维护（nc）尚未进行纠正（nc），而该组成部分的维护（nc）是不适合的（nc），而又可以进行维护（nc）。 手术。每当NC组件失败时，CR组件都可以选择地更换。对于由一个CR和一个NC组件组成的系统，我们将传统的续订理论（无论是经典还是广义）扩展到各种维护方案，以计算CR所需的限制（“ Bound”）下NC的平均续订数量。我们还以封闭形式开发近似值的“有限”续订函数。我们通过模拟各种组件寿命分布（包括风力涡轮机组件的实际寿命分布）来验证公式。
We present a novel mathematical framework for computing the number of maintenance cycles in a system with critical and non-critical components, where "critical" (CR) means that the component's failure is fatal for the system's operation and renders any more repairs inapplicable, whereas "noncritical" (NC) means that the component can undergo corrective maintenance (replacement or minimal repair) whenever it fails, provided that the CR component is still in operation. Whenever the NC component fails, the CR component can optionally be preventively replaced. We extend traditional renewal theory (whether classical or generalized) for various maintenance scenarios for a system composed of one CR and one NC component in order to compute the average number of renewals of NC under the restriction ("bound") necessitated by CR. We also develop approximations in closed form for the proposed "bounded" renewal functions. We validate our formulas by simulations on a variety of component lifetime distributions, including actual lifetime distributions of wind turbine components.
