泊松冲击下不同质部件k/n(G)系统的可靠性分析

假设一个系统由n个质量不同的部件组成，当系统中至少有k个部件工作时系统才能正常工作，该系统受到一类齐次泊松过程到达的冲击，冲击量服从某一个分布，每当一个冲击到达时，都会独立的对n个部件产生影响，每个部件以一定的概率产生故障，故障概率不但是冲击量的函数，而且与具体的部件有关，另外还假定各次冲击独立的对系统造成损失，对于此泊松冲击下的不同质部件的k／n（G）系统，显式给出了系统的可靠度函数以及系统的平均工作时间等性能指标，推广了已有文献中的结果。

Reliability Analysis for k/n(G)System with Possible Different Components under Poisson Shock

Suppose that there is a system which consists of n different components,in which at least k out k of n components must be good for the system to be good.Assume that the system is shocked by a homogenous Poisson stream.The quantity of each shock is a random variable.As a shock arrived,the failure probability of a component is not only a function of the quantity but also related to the specific component itself.The failure probability of each component is possibly different and independent from the others.We ...