This paper considers replacement polices for an extended cumulative damage model with minimal maintenance at each shock and minimal repair at failure: A system is replaced at time T or at shock number N , and undergoes maintenance or repair between replacements. The expected cost rate is obtained and each optimal T ∗ and N∗ to minimize the cost rate is discussed. It is shown that this model wou...

Abstract: This paper aims to develop a method of reliability modeling for a two-stage degraded system, facilitating the decision-making on the system maintenance. Cumulative damage model is used to present the degradation process with changing degradation rates. In the cumulative damage model, shock damage value and shock counting are assumed to be Gamma distribution and homogeneous Poisson pro...

An interesting hypothesis in the study of neurotrauma is that repeated traumatic brain injury may result in cumulative damage to cells of the brain. However, post-injury sequelae are difficult to address at the cellular level in vivo. Therefore, it is necessary to complement these studies with experiments conducted in vitro. In this report, the effects of single and repeated traumatic injury in...

This paper is concerned with the dependence structure of a multi-component, cumulative damage shock model, in which a system of components is subject to correlated shock damages and group repairs. A component fails when its cumulative damage exceeds a given threshold, and is then replaced by a new component. We incorporate a block maintenance schedule that simultaneously performs imperfect repa...