Lifetime properties of a cumulative shock model with a cluster structure
Lifetime properties of a cumulative shock model with a cluster structure
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DOI：
10.1007/s10479-012-1255-6
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发表时间：
2014
影响因子：
4.8
通讯作者：
Jianming Bai;Z. Zhang;Zehui Li
中科院分区：
文献类型：
--
作者：
Jianming Bai;Z. Zhang;Zehui Li
本文研究了具有簇激波结构的广义累积激波模型。所考虑的系统会受到两种类型的冲击，称为初级冲击和次级冲击，其中每种初级冲击都会引起一系列次级冲击。这种系统的寿命行为比仅具有一类冲击的经典模型更加复杂。在一次激波的非齐次泊松过程下，我们分析了具有轻尾和重尾分布式二次激波的系统的寿命行为。我们展示了此类系统生命周期的一些重要特征。我们的模型作为经典冲击模型的延伸，在维护工程、运营管理和保险风险评估中具有广泛的应用。
This paper studies a generalized cumulative shock model with a cluster shock structure. The system considered is subject to two types of shocks, called primary shocks and secondary shocks, where each primary shock causes a series of secondary shocks. The lifetime behavior of such a system becomes more complicated than that of a classical model with only one class of shocks. Under a non-homogeneous Poisson process of primary shocks, we analyze the lifetime behavior of the system with light-tailed and heavy-tailed distributed secondary shocks. We show some important characteristics of lifetime of this type of system. Our model, as an extension of the classical shock models, has wide applications in maintenance engineering, operations management, and insurance risk assessment.