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.