Reliability modeling of k-out-of-n system with one repairman having variant vacations

Aiming at the impact of maintenance scheduling on equipment training and reliability in equipment support, the maintenance work of multiple ships supported by the detachment-level repair station was abstracted into a single maintenance station to support the dispatching and distribution of maintenance forces for multiple systems, the variable vacation strategy of repairman was introduced to describe it. Take the common n out of k system in the equipment structure as the research object, aiming at the problem of excessively strict model constraints caused by typical distributions such as exponential distributions in previous studies, continuous Phase-type distribution was used to describe the system-dependent random variables and build system reliability analysis model. Finally, the model applicability was verified using numerical application, and it was analyzed the influences of whether the repairman was on vacation, the changes of system components numbers, and the effect of repairman vacation rate and maintenance rate on system reliability. Numerical example results show that the reliability model can be effective retrieval the influence of maintenance forces scheduling on the reliability of k-out-of-n system, it can provide theoretical basis and practical reference for the reasonable arrangement of the number of repairman vacation and the optimal configuration of the number of system components.