摘要：AbstractThis paper studies a repairablek-out-of-n:Gsystem with failure dependencies,N-policy and repairman’s multiple vacations. Whenever there are no broken components, the repairman leaves for a vacation which obeys a phase type distribution. Upon returning from his/her vacation, he/she takes another vacation if broken components waiting less thanN. This pattern continues until at leastNbroken components are waiting. By using the Markov process theory, the matrix analytical method and the probabilistic properties of the phase type distribution, the availability and the rate of occurrence of failures of the system are derived in transient and stationary regimes. Further, numerical examples discuss the behavior of the system reliability measures.
关键词：Keywordsk-out-of-n:GsystemRedundant dependencyReliability measureMatrix analytical methodPhase type
