Dynamic reliability evaluation of multi-performance sharing and multi-state systems with interdependence

Abstract

Numerous engineering systems are designed to be performance sharing systems with multiple interdependent performances. Motivated by practical engineering systems, in this study, a multi-performance sharing and multi-state system (MPSMS) with performance interdependence was modeled. The model includes a feasible operating region (FOR) considering the interdependent operation constraints of the components. Moreover, a multi-performance sharing mechanism including performance sharing limits and performance conversion efficiency was developed. Furthermore, an approach combining Markov process model and extended Lz-transform technique was adopted to develop unified representations of the dynamic reliability models of the considered MPSMSs. Dynamic reliability indices including the time-varying reliability and the expected instantaneous performance deficiency (EIPD) were evaluated through four case studies to validate the developed model and approach.