Abstract: The effect of maintenance force scheduling on the system steadystate reliability of multiple maintenance stations to support multiple systems is studied, with introducing single asynchronous vacation of multiple maintenance stations strategy, regarding the warm standby redundancy system with c maintenance stations as object. According to the maintenance station in the maintenance, vacation or idle states, the whole working condition of the system is divided into different states, and the system state transition matrix is established. Phasetype (PH) distribution is introduced to describe the lifetime of the system working units and the standby units, the maintenance time, the vacation time, the idle time of the maintenance stations and other random variables. The reliability model of the warm standby redundant system considering the single asynchronous vacation of the multiple maintenance stations is built to obtain a series of analytical expression of systems steadystate availability and number of steadystate busy maintenance stations. Finally, the applicability of the model is analyzed by an example, and the effect of the maintenance station working rate on the system reliability is demonstrated.

Key words: redundancy system, warm standby, reliability, multiple maintenance stations, single asynchronous vacations, phasetype (PH) distribution