Reliability analysis of series system with a repairman taking single vacation

摘要

Considering that full-time repairman is often assigned to key equipment in series, the policy of a repairman taking single vacation is introduced. This paper studies the series system containing n identical components. For too stringent constraints of model caused by exponential distribution and other typical distributions in the past studies, this paper assumes that lifetime of online components, repairman's vacation time, idle time and repair time are all subject to Phase-type distribution, builds a more applicable interpretive model for system reliability, gives the reliability features including system reliability, steady-state failure frequency and system mean time between failure (MTBF), etc., and takes a numerical application to verify the applicability of the model and analyze the influence of whether the repairman takes a vacation on the system reliability.