The Reliability Analysis For Two Kinds Of Censoredδ-shock Model

The shock model is one of the important research contents of reliability mathematics theory. In recent years, many scholars have done a lot of research on the shock model theory and its application, and have obtained the remarkable results. Its failure mechanisms is that when the inter-arrival time between two successive shocks is less than the threshold8, the system failure.But in real life, there are many systems are that when the inter-arrival time between two successive shocks is greater than the threshold8, the system failure. This kind of system is called censored δ-shock model.In this paper, we studied the life nature for two classes of censored8-shock model.This paper is mainly divided into two parts. In the first part, we studied the life nature of discrete censored δ-shock model on arrival times obey the0-1distribution. The model suppose the arrival times only occur on integer time points, which obey the0-1distribution. When the inter-arrival time between two successive shocks is greater than the threshold δ, the system failure. Study the basic properties of the model and the reliability indexes such as the probability of system life distribution and the average life of the system.The second part studied the life nature of censored δ-shock model on non-homogeneous Poisson process. Suppose the system is subjected to external shocks which can be described using a non-homogeneous Poisson process with intensity λ(t), with the failure mechanism as arrival times obey the0-1distribution. Mainly studies the reliability indexes of the model system such as the reliability function and its upper bound, the failure rate function and so on, and get the sufficient conditions for the existence of the moment of the system lifetime and life distribution.The Censored δ-shock model can be used to study the customer relationship management strategy formulation, the core of the customer life value...