摘要
考虑了一种特殊的冲击模型，系统受到强度为λ的Ｐｏｉｓｓｏｎ 流冲击，当冲击间隔小于给定常数δ时系统失效．根据首次冲击时间Ｘ１ ＜ δ引起失效或不引起失效建立模型Ⅰ，Ⅱ．对两个模型分别导出了系统寿命Ｔ的生存函数、均值、方差等，并研究了寿命分布的性质：模型Ⅰ中系统寿命分布属于ＮＷＵ分布类；模型Ⅱ中系统寿命分布属于ＮＢＵ分布类．还得到了Ｔ／ Ｅ（ Ｔ） 的渐近分布是参数为１ 的指数分布．
A kind of special shock model is considered. A single component system is subjected to shocks occurring randomly in time according to Poisson process with intensity λ, the system fails when the interval of shocks is smaller than a provided constant δ.Two different models should be considered on the basis of whether the first shock intervals length being less than δ causes the system to fail. The survival function of the systems life T, the mean and the variance of life T are obtained and the properties of life distribution studied:in model Ⅰ, the life distribution is NWU; in model Ⅱ, the life distribution is NBU. In addition, It is proved that T/E(T) converges in distribution to exponential variable of unit mean.
出处
《兰州大学学报（自然科学版）》
CAS
CSCD
北大核心
1999年第4期1-7,共7页
Journal of Lanzhou University(Natural Sciences)
基金
国家自然科学基金!(19871035)
甘肃省自然科学基金!(B4)
关键词
冲击模型
生存函数
寿命分布
可靠性
冲击源
shock model
survival function
Poisson processes
NBU
NWU
Laplace transform
