Abstract: In line with the fact that equipment maintenance and spare parts management affect and restrict each other, this paper proposes a joint optimization model of two-phase inspection and spare parts ordering policy considering imperfect inspections based on the delay time theory. The inspection is imperfect, and preventive renewal needs to be carried out once a defect is detected; failure renewal should be performed when the equipment is at fault. With the consideration of the states of the spare parts when the equipment is required to be renewed, the joint optimization model is established based on the renewal reward theory, in which the minimal long-run expected cost per unit time is taken as objective function to optimize the first phase inspection time, the second phase inspection interval and the spare parts ordering time. Finally, an artificial bee colony algorithm is developed to find the optimal solution. The two-phase inspection policy is compared with the periodical inspection policy in the numerical analysis and the results show that the two-phase inspection policy is always superior to the periodical inspection policy; and the effectiveness of the proposed model is verified.

Key words: imperfect inspection, preventive maintenance, spare parts, delay time

摘要： 针对设备维修与备件管理相互影响与制约的问题, 在基于延迟时间理论的基础上, 提出了两阶段点检与备件订购策略联合优化。点检是不完美的, 当点检识别设备的缺陷状态时, 进行预防更新; 设备故障时, 进行故障更新。结合设备更新时备件的状态, 采用更新报酬理论建立了以第一阶段点检时间、第二阶段点检周期和备件订购时间为决策变量, 以最小化单位时间期望成本为目标的模型。最后, 通过人工蜂群算法对模型求解, 并在数值分析中将两阶段点检策略与定期点检策略进行比较, 结果表明:两阶段点检策略始终优于定期点检策略, 验证了所建模型的有效性。

关键词: 不完美检测, 预防性维修, 备件, 延迟时间