考虑多维修台异步单重休假的温贮备冗余系统可靠性模型

本文针对多维修台保障多个系统时维修力量调度规律对系统稳态可靠性的影响,引入多维修台异步单重休假策略,以包含c个维修台的温贮备冗余系统为研究对象,根据维修台所处的维修、休假、空闲3种状态将系统整体工作情况进行状态划分,建立系统状态转移矩阵。引入Phase type分布描述系统工作部件、贮备部件寿命以及维修台维修时间、休假时间、空闲时间等随机变量,构建考虑多维修台异步单重休假的温贮备冗余系统可靠性模型,得出系统稳态可用度和稳态忙期维修台数量等指标的解析表达式。最后利用算例对模型的适用性以及准确性进行分析,并探讨了维修台工作速率和系统可靠性之间的关系。

Reliability analysis for warm standby redundancy system consideringsingle asynchronous vacation of multiple maintenance stations

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.