两阶段串联可修系统的统计过程控制与视情维修整合研究

针对两阶段串联可修系统，考虑随机偏移的情况，研究统计过程控制（SPC）与视情维修整合的问题. 首先，应用均值-残差联合控制图监控系统的质量状态，根据质量状态采取相应的维修策略，在此基础上，分析SPC与视情维修策略整合的可能场景，并根据全概率公式给出了每个场景发生的概率；其次，考虑人力成本、生产率以及停时损失，根据更新理论构建了SPC与视情维修整合的数学模型；然后，针对具体实例，将构建的模型与单独的维修策略模型和采用经验法则选取控制图的设计参数模型进行了比较分析，结果表明构建的模型在节约成本方面有着明显的优势；最后，运用部分析因设计对过程参数、时间参数和成本参数进行了敏感性分析.

Integration SPC and condition-based maintenance for two-stage series repairable systems

For two-stage series repairable systems, considering random shift, a problem of integrating statistical process control (SPC) and condition-based maintenance is discussed. Firstly, the mean-residual joint control chart is used to monitor the equipment and provides signals indicating equipment deterioration, and appropriate maintenance is performed. This leads to different scenarios. According to the law of total probability decomposition, the probability of occurrence associated with each scenario can be calculated. Secondly, taking into account manpower, cost of loss production and production rate, a procedure for calculating average cost per time is presented according to renew theory. Then, a numerical example is given to illustrate the application of the proposed integrated model. The results show that the integrated model outperforms the maintenance model and the model using rules of thumb. Finally, a sensitivity analysis is conducted to develop insights into process parameter, time parameters and cost parameters that influence the integration efforts.