Abstract
Probabilistic common cause failures (PCCFs) in a system are failures of multiple system components with the same or different probabilities due to a shared root cause or shock. They can contribute greatly to the overall system failure probability. Therefore, it is significant to incorporate effects of PCCFs into system reliability analysis. To the best of our knowledge, no research has been done on the reliability analysis of phased-mission systems (PMSs) subject to PCCFs. In this paper, we propose an explicit method and an implicit method to analyze reliability of PMSs with PCCFs caused by external shocks. Both methods are illustrated through detailed analyses of a wireless sensor network example. Both space and computational complexities as well as advantages are discussed and compared for the two proposed methods.
•Probabilistic common cause failures (PCCFs) in phased-mission systems (PMS) are analyzed.•Two combinatorial methods are proposed for reliability analysis of PMSs subject to PCCFs.•Space and computational complexity is compared for the two proposed methods.