考虑多维修台异步多重休假的温贮备冗余系统可靠性模型

Reliability analysis for warm standby redundancy system considering multiple asynchronous vacations of multiple maintenance stations

考虑多维修台保障多个系统时维修力量存在调度与分配的情况,引入多维修台异步多重休假策略;以温贮备冗余系统为研究对象,针对以往研究利用指数分布等典型分布导致模型约束条件过于严格的问题,采用连续phase-type(PH)分布描述系统中工作部件寿命、温贮备部件寿命以及维修台休假时间和维修时间,建立通用性更好的系统可靠性解析模型,给出系统可靠度、系统稳态可用度等冗余系统可靠性指标和稳态忙期维修台数量等维修台稳态指标;利用算例验证模型适用性,演示了维修台数量、系统温贮备部件数量变化以及修理工休假速率、维修速率变化对系统各可靠性指标和维修台稳态指标的影响.算例计算结果表明,所提出的可靠性模型能够有效复现多维修台调度对冗余系统可靠性的影响,从而为维修台数量的合理安排及系统部件数量的优化配置提供理论基础和实践参考.

Taking the warm standby redundancy system as the research object,considering the scheduling and allocation of maintenance forces when multiple maintenance stations support multiple systems,this paper introduces the multiple asynchronous vacation policy of multiple maintenance stations.For the past research,the model known conditions are caused by typical distributions such as exponential distribution.For the problem of excessively stringent conditions,continuous phase-type(PH)distribution is used to describe the system working unit life,the warm standby unit life,and the maintenance station vacation time and maintenance time,and a more general system reliability analysis model is established.Some reliability features such as system reliability,system steady-state availability etc,and some maintenance station steady-state features such as the number of steady-state busy station etc are given.Finally,the numerical application verifies the applicability of the model,and demonstrates the influence of changes in the number of maintenance stations and system warm standby units,and the changes in the vacation rate and repair rate on the system reliability features.The results show that the reliability model can effectively reproduce the influence of multiple maintenance stations scheduling on the reliability of the redundant system,and provide theoretical basis and practical reference for the rational arrangement of the number of maintenance stations and the optimal configuration of the number of system units.