On survival function of the generalized δ-shock model based on Polya process

The shock models have attracted a great deal of attention because of their important role in engineering systems. If the time between two successive shocks is less than the pre-defined threshold δ, the system fails, which is called the δ-shock model. In this article, we studied the generalized δ-shock model with two types of arrival shocks under a Polya process which has dependent interarrival times. The survival function and the mean lifetime of this system are obtained. Finally, some illustrative examples are presented.

کلیدواژه ها:

δ-shock model ، Interarrival times ، Polya process ، Survival function