基于工作周期的最优出保随机维修策略  

Optimum post-warranty random maintenance policy based on working cycles

作　　者：尚利俊 杜永军 张苾雯 SHANG Li-jun;DU Yong-jun;ZHANG Bi-wen(School of Quality Management and Standardization,Foshan University,Foshan 528225,China;School of Economics and Management,Lanzhou Univ.of Tech.,Lanzhou 730050,China)

机构地区：[1]佛山科学技术学院质量与标准化学院,广东佛山528225 [2]兰州理工大学经济管理学院,甘肃兰州730050

出　　处：《兰州理工大学学报》2023年第3期153-164,共12页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(72161025,12072139,71871181);广东省基础与应用基础研究基金(2020A1515011360);广东省教育厅项目(2021WTSCX080)。

摘　　要：将有限数量工作周期和补偿方案同时融入到更新比例收费更换保修(RPRW)中,提出了一个保证产品可靠性性能的二维保修,即“考虑补偿的二维更新比例收费更换保修(2DRPRW with R)”.此外,从消费者角度将2DRPRW with R扩展到出保维修中,提出了一个维持出保可靠性的出保随机维修策略,即“随机周期更换(RPR)策略”.构建了RPR产生的费用率模型、得出特殊费用率模型.采用数值实验对2DRPRW with R和RPR开展了灵敏性分析.数值结果表明,与更新比例收费更换保修相比,通过限制随机工作周期数量,2DRPRW with R的保修费用能够被控制.By incorporating both limited number of working cycles and a refund into renewing pro-rata replacement warranty(RPRW),a two-dimensional renewing pro-rata replacement warranty with refund(2DRPRW with R)is proposed,which can help manufacturers to ensure product reliability performance.Besides,by extending 2DRPRW with R to the post-warranty maintenance,a post-warranty random maintenance is modeled from consumers’perspective to sustain post-warranty reliability,which is called random periodic replacement(RPR)policy.The cost rate model produced by RPR is constructed,and some special cost rates are obtained.Finally,the sensitivities of the proposed approaches are analyzed in numerical experiments.It shows that the warranty cost of 2DRPRW with R can be controlled by limiting the number of working cycles compared to RPRW.

关 键 词：工作周期 保修 出保可靠性 随机周期更换 费用率 

分 类 号：O213[理学—概率论与数理统计]