Assessing the reliability and the stochastic properties of the components of consecutive k-out-of-n systems

Abstract

The consecutive k-out-of-n systems are important types of coherent structures and have applications in various areas. There are consecutive k-out-of-n systems with the property that some of the components of the system remain unfailed at any time t. There are also consecutive k-out-of-n systems with the property that, at the time of the failure of the system, some components fail before the failure of the system. In the first part of the paper, we study the stochastic properties of residual lifetime of the live components of the system under the condition that the system is working at time t. In the second part, under the condition that the system is not working at time t, the inactivity time of the failed components of the system is investigated. © Nova Science Publishers, Inc.