题目：Lifetime properties of a cumulative shock model with a cluster structure

        作者：

Jian-Ming Bai（兰州大学/ Lanzhou University）

Zhe George Zhang（西蒙弗雷泽大学/Simon Fraser University）

Ze-Hui Li（兰州大学/ Lanzhou University）

      期刊：

Annals of Operations Research（影响因子1.709）

Volume 212, Issue 1, January 2014, page21–41

        英文摘要：

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.

        中文摘要：

本文研究具有簇生结构的推广累积冲击模型的寿命性质。簇生冲击结构意味着，可靠性系统将遭受两类随机冲击（主冲击和附加冲击），其中每个主冲击均会导致一系列附加冲击；此时系统寿命行为（与经典模型相比）将变得十分复杂。假设主冲击的发生遵循非齐次Poisson过程，附加冲击强度分别服从轻尾分布和重尾分布，本文讨论了可靠性系统的一系列重要的寿命性质和失效规律。本文模型是经典冲击模型的推广，相关结果在可靠性维修、运营管理及保险风险等方面具有广泛的应用。

网址链接： https://link.springer.com/article/10.1007/s10479-012-1255-6

doi：https://doi.org/10.1007/s10479-012-1255-6