Few studies have investigated the integration of triple components including statistical process monitoring (SPM), maintenance policy (MP), and economic production quantity (EPQ). Of those, no research is found to monitor autocorrelated data. Moreover, although delayed monitoring (DM) policy was proposed for an integrated model of SPM and MP, it has not been extended by considering EPQ. We propose an integrated model of triple components subject to some constraints, in which the following features are considered: (1) DM policy that postpones the monitoring action until a determinable time to avoid the possible unnecessary costs, and (2) autocorrelation that, if ignored, can lead to a significant influence on the statistical performance of traditional control charts. ARMA control chart is used to monitor the autocorrelated data. Due to the complexity of the model, a particle swarm optimization algorithm is applied to obtain optimal solution(s). An industrial example, some comparisons and sensitivity analysis are provided for more investigations.

很少有研究调查包括统计过程监控 (SPM)、维护政策 (MP) 和经济生产数量 (EPQ) 在内的三重组件的集成。其中，没有发现监测自相关数据的研究。此外，虽然为 SPM 和 MP 的集成模型提出了延迟监测 (DM) 政策，但尚未通过考虑 EPQ 对其进行扩展。我们提出了一个受一些约束的三元组件的集成模型，其中考虑了以下特征：（1）将监控操作推迟到可确定的时间以避免可能的不必要成本的 DM 策略，以及（2）自相关，如果忽略，会对传统控制图的统计性能产生重大影响。ARMA 控制图用于监控自相关数据。由于模型的复杂性，应用粒子群优化算法来获得最优解。一个工业例子，提供了一些比较和敏感性分析以供更多调查。