In recent research, one of the major focus on redundancy allocation problems has been on the possibility of using allocative components randomly selected from a heterogeneous population consisting of $m$ different subpopulations. Under this setup, most of these works assume that the components within each subpopulation are independent. Here, we consider systems comprising $n$ possibly dependent subsystems with independent or dependent components. Then we provide sufficient conditions on the number of components randomly chosen from the heterogeneous population in order to improve the reliability of the whole system. In addition, we present illustrative numerical results for different copula functions and marginal lifetime distributions.

在最近的研究中，对冗余分配问题的主要关注之一是使用从包括以下组成部分的异质种群中随机选择的分配成分的可能性： $米$不同的亚群。在这种设置下，大多数这些工作都假设每个子群体中的组件都是独立的。在这里，我们考虑的系统包括$ñ$可能具有独立或独立组件的独立子系统。然后，我们为从异类总体中随机选择的组件数量提供了充分的条件，以提高整个系统的可靠性。此外，我们提出了不同的copula函数和边际寿命分布的说明性数值结果。