Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4639529 | Journal of Computational and Applied Mathematics | 2013 | 5 Pages |
Abstract
In this article, we study a shock model in which the shocks occur according to a binomial process, i.e. the interarrival times between successive shocks follow a geometric distribution with mean 1/p1/p. According to the model, the system fails when the time between two consecutive shocks is less than a prespecified level. This is the discrete time version of the so-called δδ-shock model which has been previously studied for the continuous case. We obtain the probability mass function and probability generating function of the system’s lifetime. We also present an extension of the results to the case where the shock occurrences are dependent in a Markovian fashion.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Serkan Eryilmaz,