Reliability of Markovian Missions

We consider a mission-based reliability system that is designed to perform missions consisting of a random sequence of phases or stages with random durations. The mission process is described by a Markov process and the deterioration or aging of the system is described by a nite state Markov process whose parameters depend on the mission process. We discuss models and tools to compute system, mission, and phase reliabilities. Explicit computational formulas are derived and an illustration is provided.