Yule-Furry经典δ冲击模型的可靠度

Reliability of Yule-Furry classicδshock model

可靠度是可靠性模型理论研究的重要内容之一,尤其在δ冲击模型中可靠度是讨论其他指标的前提。采用重积分法、独立卷积法、无记忆法证明了Yule-Furry经典δ冲击模型的系统可靠度,并分析了3种方法的异同。由无记忆法的证明过程,得到寿命T的分布函数,并推导了可靠度的简单证法。

Reliability is the primary topic in the theoretical research of reliability models,especially the premise for discussing other indicators in theδshock model.In this paper,three methods including multiple integration method,independent convolution method and memoryless method are used to prove the system reliability of Yule-Furry classicalδshock model,and the similarities and differences between the three methods are analyzed.Based on the proof process of the memoryless method,the distribution function of the lifetime T is obtained,and a simple proof of reliability is derived.