保修非更新产品检测和非完美视情维修建模与优化  

Modelling and Optimization of Inspection and Imperfect Condition-basedMaintenance for Non-renewable Warranty Products

作　　者：王丽英 张文华 杨艳妹 凌晓亮[2] WANG Liying;ZHANG Wenhua;YANG Yanmei;LING Xiaoliang(Department of Mathematics&Physics,Shijiazhuang Tiedao Institute,Shijiazhuang 050043,China;College of Sciences,Hebei University of Science and Technology,Shijiazhuang 050018,China)

机构地区：[1]石家庄铁道大学数理系,河北石家庄050043 [2]河北科技大学理学院,河北石家庄050018

出　　处：《运筹与管理》2023年第3期111-115,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：针对退化服从两阶段故障过程的保修非更新产品,提出了有剩余保修时间阈值的非完美视情维修策略。在该策略下,产品保修期分为两阶段:检测预防维修期和最小维修期。在检测预防维修期内,针对检测时刻系统的状态(正常和缺陷)实施不同的维修策略。在最小维修期内,不进行检测,对发生的故障实施最小维修。以生产商承担的平均保修费用为目标函数,对检测间隔、预防维修水平及剩余保修时间阈值进行了联合优化。通过数值算例及对比分析验证了模型的有效性。Warranty provides assurance to customers that manufacturers will provide compensation,through repair,replacement or refund,for purchased items that do not perform satisfactorily.To cope with the fierce market competition,attract and hold on customers,manufacturers usually promise to provide long-term and high-quality warranty services,which will entail an additional costto them.Maintenances play an important role in keeping products’performance and making sound decisions on maintenance strategies is an effective way of reducing warranty service costs.In industrial engineering,most products degrade gradually and operate at a lower performance level before complete failure.With the rapid development of computer-based monitoring technologies,condition-based maintenance has been widely used in reliability management and proven effective and economicalin reducing maintenance cost.Furthermore,over a period before the expiration of warranty period,the purpose of the manufacturer’s maintenance activities is keeping the operation of the product,instead of improving it.Motivated by the aforementioned engineering practice,this paper focuses on products whose life can be divided into normal and defective stages and proposes an inspection and imperfect condition-based maintenance policy with residual warranty time threshold.Under the policy,the warranty period is divided into two stages:the inspection and preventive maintenance period and the residual warranty period.Over the inspection and preventive maintenance period,periodic inspections are carried outand periodic and imperfect maintenance activities will be performed if the product is identified to be in defective stage.Failures between two successive inspections are rectified using minimal repair.Over the residual warranty period,inspections are not performed and all failures are restored minimally.The virtual age model is used to quantify the level of imperfect maintenance activities.Two cases depending on whether imperfect maintenance activities are performed are

关 键 词：视情维修 保修 检测 非完美维修 延迟时间 剩余保修时间阈值 

分 类 号：TB114.3[理学—概率论与数理统计]