ABSTRACT
This chapter provides a state-of-the-art review of the evaluation methods of the non-exponential dynamic systems and the modular approach for the PMS. It discusses the modeling and assessment methods for the phased mission systems (PMSs) cover the non-exponential distributions as well as the approximation approach and simulation approach. The PMSs with partially repairable components and the PMSs subject to random shocks are discussed in detail. Random shocks have been examined with different approaches in reliability modeling. PMSs have wide applications in engineering practices, especially in the aerospace industry such as man-made satellites and manned space-crafts. The combinatorial methods are computationally efficient but available in the dynamic system. The state-space-based methods can deal with various dynamic systems but suffer from the state explosion problem. The damage brought by the random shocks is cumulative; specifically, the random shocks increase the failure rate of a constant amount e each time the shocks occur and do not lead the components to failure directly.
