Abstract In several production systems, buffer stocks are built between consecutive machines to ensure the continuity of supply during interruptions of service caused by breakdowns or planned maintenance actions. However, in previous research, maintenance planning is performed individually without considering buffer stocks. In order to balance the trade-offs between them, in this study, an integrated model of buffer stocks and imperfective preventive maintenance for a production system is proposed. This paper considers a repairable machine subject to random failure for a production system by considering buffer stocks. First, the random failure rate of a machine becomes larger with the increase of the number of random failures. Thus, the renewal process is used to describe the number of random failures. Then, by considering the imperfect maintenance action reduced the age of the machine partially, a mathematical model is developed in order to determine the optimal values of the two decision variables which characterize the proposed maintenance strategy and which are: the size of the buffer stock and the maintenance interval. The optimal values are those which minimize the average total cost per time unit including maintenance cost, inventory holding cost and shortage cost, and satisfy the availability constraint. Finally, a heuristic procedure is used to solve the proposed model, and one experiment is used to evaluate the performance of the proposed methods for joint optimization between buffer stocks and maintenance policy. The results show that the proposed methods have a better performance for the joint optimization problem and can be able to obtain a relatively good solution in a short computation time.

中文翻译：

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具有中间缓冲的生产系统多目标不完善维护优化

摘要 在一些生产系统中，在连续机器之间建立缓冲库存，以确保在因故障或计划维护操作导致服务中断期间供应的连续性。然而，在之前的研究中，维护计划是单独执行的，没有考虑缓冲库存。为了平衡它们之间的权衡，在本研究中，提出了一种生产系统的缓冲库存和不完善预防性维护的集成模型。本文通过考虑缓冲库存来考虑生产系统随机故障的可修复机器。首先，机器的随机故障率随着随机故障次数的增加而变大。因此，更新过程用于描述随机失败的次数。然后，通过考虑不完善的维护操作会部分降低机器的使用年限，开发了一个数学模型，以确定表征所提出的维护策略的两个决策变量的最佳值，它们是：缓冲库存的大小和维护间隔。最优值是使单位时间的平均总成本（包括维护成本、库存持有成本和短缺成本）最小并满足可用性约束的那些值。最后，使用启发式程序来求解所提出的模型，并使用一项实验来评估所提出的缓冲库存和维护策略联合优化方法的性能。