有剩余保修时间阈值的可更新产品检测和预防更换建模与优化  

Modelling and Optimization of Inspection and Preventive Replacement for Renewable Warranty Products with Residual Warranty Time Threshold

作　　者：杨艳妹 王丽英 刘宝友 YANG Yanmei;WANG Liying;LIU Baoyou(Department of Mathematics&Physics,Shijiazhuang Tiedao University,Shijiazhuang 050043,China)

机构地区：[1]石家庄铁道大学数理系,河北石家庄050043

出　　处：《运筹与管理》2024年第2期17-21,共5页Operations Research and Management Science

基　　金：国家自然科学基金资助项目(72271169,72071071);河北省高等学校科学技术研究项目(ZD2018073)。

摘　　要：基于两阶段的故障过程概念,对可更新保修产品,进行了有剩余保修时间阈值的周期检测和预防更换建模与优化。产品保修期分为两阶段:检测更换期和最小维修期。检测更换期开始于产品开始运行,当剩余保修期等于阈值时结束。最小维修期是检测更新期结束后直到保修服务终止的一段时间。在检测更换期,制造商进行等间距的周期性检测。如果检测发现产品处于缺陷状态或发生故障,将立即更换。在最小维修期,制造商为了降低服务成本,不实施检测和更换,对发生的故障只进行最小维修。从制造商角度出发,得到使单位时间内平均保修费用最小的剩余保修时间阈值和检测间隔。Preventive maintenance actions are performed before failures of products and they aim at reducing the risk of failure.With the development of monitoring technology and information technology,a new type of preventive maintenance action,condition based maintenance(CBM),has emerged.The decision-making of CBM is mainly based on the“diagnostic”information of products.Compared to the traditional periodic maintenance actions,condition based maintenance actions have been proven to be more economical and more effective in improving system availability and security.The modeling and optimization of CBM have become a research focus in the field of reliability and maintenance.Motivated by the aforementioned engineering practice,this paper links the modelling and optimization of CBM with warranty decision-making.It is assumed that products can take three states:normal,defective and failure.Based on the concept of two-stage failure process,the modelling and optimization of periodic inspection and preventive replacement of renewable warranty products with residual warranty time threshold are carried out.The warranty period is divided into two stages:the inspection and replacement period and the minimal maintenance period.The inspection and replacement period begins when a new product starts to operate and ends when the residual warranty period equals a threshold.The minimal maintenance period starts when the residual warranty periods equals the threshold and ends when the warranty expires.During the inspection and replacement period,the manufacturer shall carry out periodic inspections at equal intervals.If the product is identified to be in a defective state or fails,the product will be replaced immediately.To reduce the service cost,during the minimal maintenance period,the manufacturer does not implement inspections or replacements,but only carries out minimal maintenanceson failures.For comparison,another two renewable warranty models,named A.1 and A.2,are built.Under Model A.1,neither inspections nor preventive replacem

关 键 词：保修 延迟时间 检测 预防更换 

分 类 号：TB114.3[理学—概率论与数理统计]