on the reliability of phased mission systems with non-identical components subject to external shocks

A phased mission system (pms) accomplishes its mission if it completes different tasks successively. in fact, the pms includes multiple consecutive, non-overlapping phases. in this paper, some representations based on the concept of survival signature are given for the reliability function of a pms with non-identical components in three scenarios: (a) the component failures occur only based on their aging, (b) the component failures are only subject to external shocks and (c) the components failures are subject to both of aging, and external shocks. finally, a numerical example is presented to explain the theoretical results.