In this paper, to model cascading failures, a new stochastic failure model is proposed. In a system subject to cascading failures, after each failure of the component, the remaining component suffers from increased load or stress. This results in shortened residual lifetimes of the remaining components. In this paper, to model this effect, the concept of the usual stochastic order is employed along with the accelerated life test model, and a new general class of stochastic failure models is generated.

中文翻译：

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关于级联故障的新随机模型

在本文中，为了模拟级联故障，提出了一种新的随机故障模型。在遭受级联故障的系统中，在组件每次发生故障后，其余组件都会承受增加的负载或应力。这导致剩余部件的剩余寿命缩短。在本文中，为了模拟这种效应，将通常随机顺序的概念与加速寿命试验模型一起使用，并生成了一类新的随机失效模型。