考虑共因失效和负载分担的表决系统维修优化分析  

Maintenance Optimization of A K-out-of-N System Considering Common Cause Failure and Load Sharing

作　　者：张楠[1] 刘雨 蔡开泉[2] 张军[3] ZHANG Nan;LIU Yu;CAI Kaiquan;ZHANG Jun(School of Management and Economics,Beijing Institute of Technology,Beijing 100081,China;School of Electronic Information Engineering,Beihang University,Beijing 100091,China;Advanced Research Institute of Multidisciplinary Sciences,Beijing Institute of Technology,Beijing 100081,China)

机构地区：[1]北京理工大学管理与经济学院,北京100081 [2]北京航空航天大学电子信息工程学院,北京100091 [3]北京理工大学前沿交叉学院,北京100081

出　　处：《运筹与管理》2023年第7期44-48,共5页Operations Research and Management Science

基　　金：国家自然科学基金资助项目(71901026,61827901,61822102)。

摘　　要：随着仪器设备的大型化、精密型和复杂化,传统的单一故障模型很难精确地描述系统。针对可修的表决系统,考虑了负载分担和共因失效两种失效模式,提出了不完美的故障检测策略,并对模型进行了可靠性和维修性分析,求得了系统的瞬时可用度、稳态可用度和平均维修费用。最后通过数值案例给出了同时考虑可用度和维修费用的最优检测策略,能够为设备管理者提供决策依据。Nowadays,the mechanical equipment is become more and more complex with high requirement of accuracy and complexity.The failure modes of systems are more and more diverse.The classical models considering only one single failure mode is incapable of describing the failure evolution and developing efficient maintenance strategies for systems.In this paper,we consider a K-out-of-N system with identical components.Both load sharing and common cause failure effects are investigated.The system may fail when the operating component number is less than K,or,due to the common cause.The common cause failure is a two-stage process,where the system can experience a defective state and the defectiveness is revealed and repaired,and then no common cause failure will occur.Otherwise,the defective state can turn into the failure state if no maintenance action is implemented in time.The sojourn time in the perfect working state and the defectiveness state all follow general distributions.An imperfect inspection policy is implemented to reveal the hidden failure of the system.If a system failure occurs and it is revealed by the inspection,maintenance is implemented immediately which can restore the system to the as-good-as-new state.Otherwise,if the failure is unrevealed due to the inspection error,it will be in the failure state until the failure is inspected.If no failure occurs,the system will continue to operate.We also assume that the inspection and maintenance times are non-negligible.The instantaneous availability and the steady availability of the system are derived.The inspection interval of the system is also optimized.A numerical example is presented to show the applicability of the proposed model.It can provide theoretical reference for the decision-maker when developing efficient maintenance strategies.We utilize probability theory to model the system reliability indexes.The renewal theory is implemented in formulating the stochastic optimization model where the objective is to minimize the inspection and maintenance c

关 键 词：共因失效 负载分担 不完美检测 维修优化 

分 类 号：O213.2[理学—概率论与数理统计]