不完备生产与条件维护策略下的生产批量决策研究

构建了不完备生产与条件维护下的生产批量模型，采用威布尔分布的曲线分布宽度描述可靠性的退化性，考虑了曲线分布宽度为等比数列和等差数列2种模型，利用报酬更新理论求解了期望平均总成本的最小值。结果表明，第1种模型的期望平均总成本要高于设备不具有退化性的期望平均总成本，前者的条件维护的阈值、最优生产批量和维护次数都比后者的少；第2种模型的期望平均总成本总体要低于设备不具有退化性的期望平均总成本，前者的条件维护的阈值比后者的少，而前者的维护次数和最优生产批量都比后者的多。研究还发现，公比和公差是影响期望平均总成本的最重要因素，需求是影响条件维护的可靠性阈值的最重要因素。本文的相关启示可为管理者提供决策参考依据。

A Study of EPQ Model Based on Imperfect Production and Conditional Maintenance

An economic production quantity (EPQ) model based on imperfect production and conditional maintenance is constructed. Weibull distribution curve width is used to describe the deterioration of reliability and the renewal theorem adopted to solve the minimum of the expected average total cost of the model. Two models are studied considering the Weibull distribution curve width as geometric progression and arithmetic progression respectively. It indicates that the expected average cost of first model is greater than that of the model with no deterioration but the threshold, and its corresponding value, the optimal quantity and maintenance times are all lower than those of the model with no deterioration. The expected average cost and threshold of second model is lower than that of the model with no deterioration, but the optimal quantity and maintenance times are greater than those of the model with no deterioration. The study also finds that ratio and tolerance are the most important factors affecting expected average cost, while demand is the most important factor affecting the reliability threshold of conditional maintenance. The relevant study can provide managers with decision reference.