Reliability Modeling for Degrading System with multiple Dependent Failure Modes

Abstract

To adequately predict reliability and optimize the time-to-maintenance for complex system design and reliability problems, this research develops a new model for complex systems, which are subject to performance degradation and multiple dependent failure modes. In particular, the hazard rate corresponding to each failure mode depends both on time and system state. The system state stochastically degrades over time, and the degradation is described by a stochastic process. The degradation rate, in particular, depends on time and is also a function of the degradation level. This research develops a reliability model for complex systems, which are subject to performance degradation and multiple dependent failure modes. A joint model of system degradation and failure time is constructed. The system state stochastically degrades over time, and the degradation is described by a stochastic process. Unlike existing reliability models, we consider a realistic scenario where the degradation rate is, not only a function of time, but also the degradation level at that time. The goal of this research project is to develop the optimum Condition-Based Maintenance (CBM) schedules. The developed model will be used as the basis in our future research on CBM scheduling.