论文标题
具有异质依赖性组件的连贯系统中的最佳冗余分配
Optimal Redundancy Allocation in Coherent Systems with Heterogeneous Dependent Components
论文作者
论文摘要
本文涉及到$ n $ - 组件相干系统的最佳冗余分配数量由异质依赖组件组成。我们假设该系统是由$ l $组的不同组件组成的，$ l \ geq 1 $，其中$ n_i $组件中有$ n_i $ $ i $，而$ \ sum_ {i = 1}^{l} n_i = n $。感兴趣的问题是将$ v_i $ Active冗余组件分配给类型$ i $，$ i = 1，\ dots，l $的每个组件。为了获得$ v_i $的最佳值，我们提出了两个基于成本的标准。其中之一是根据更新失败的组件的成本以及在系统故障时间刷新活着的组件的成本。其他标准是根据系统在故障时间或预定时间$τ$（以先到者为准的预定时间）更换的成本提出的。根据生存特征的概念，使用系统可靠性函数的混合物表示提出的函数表达式。我们假设给定的Copula函数对组件之间的依赖性结构进行建模。在系统是一种串联平行结构的特殊情况下，我们为提出的基于成本的功能提供了公式。对于某些特定的相干系统，对结果进行了讨论。
This paper is concerned with the optimal number of redundant allocation to $n$-component coherent systems consist of heterogeneous dependent components. We assume that the system is built of $L$ groups of different components, $L\geq 1$, where there are $n_i$ components in group $i$, and $\sum_{i=1}^{L}n_i=n$. The problem of interest is to allocate $v_i$ active redundant components to each component of type $i$, $i=1,\dots, L$. To get the optimal values of $v_i$, we propose two cost-based criteria. One of them is introduced based on the costs of renewing the failed components and the costs of refreshing the alive ones at the system failure time. The other criterion is proposed based on the costs of replacing the system at its failure time or at a predetermined time $τ$, whichever occurs first. The expressions for the proposed functions are derived using the mixture representation of the system reliability function based on the notion of survival signature. We assume that a given copula function models the dependency structure between the components. In the particular case that the system is a series-parallel structure, we provide the formulas for the proposed cost-based functions. The results are discussed numerically for some specific coherent systems.
