This study investigates the effect of stochastic breakdowns, overtime, and rework on the inventory replenishment decision. The overtime capacity and inevitable situations during the manufacturing process, such as the production of imperfect items and random breakdowns, are often considered in advance by production manager to smoothen fabrication schedules, maintain the desired quality, and reduce the impact from undesirable interruptions. This study builds a model to characterize these real features of a manufacturing process and derive the total relevant expenses of the system. Although a closed-form solution is unobtainable, a recursive algorithm is proposed to help find the optimal runtime for the batch fabrication plan. A numerical illustration shows how the proposed procedure and algorithm function. It also demonstrates the ability of the proposed model to reveal diverse crucial information regarding the individual and combined influences of deviations in overtime factors, the mean-time-to-failure, and rework- related variables, on the optimal replenishment runtime, total operating expenses, and different cost contributors. The research results will facilitate better decision-making aimed at increasing the competitive advantages of a manufacturing firm.

这项研究调查了随机故障，加班和返工对库存补充决策的影响。生产经理通常会事先考虑制造过程中的加班能力和不可避免的情况，例如生产不完善的物品和随机击穿，以使制造进度更加顺畅，保持所需的质量，并减少不希望有的中断带来的影响。这项研究建立了一个模型来表征制造过程的这些实际特征，并得出系统的总相关费用。尽管无法获得封闭形式的解决方案，但提出了一种递归算法来帮助找到批生产计划的最佳运行时间。数值图示说明了建议的过程和算法如何运行。它还证明了所提出模型的能力，可以揭示关于最佳补给时间，总运营费用的关于加班因素，平均故障时间和返工相关变量的个体影响和综合影响的各种关键信息。 ，以及不同的费用来源。研究结果将有助于做出更好的决策，以提高制造公司的竞争优势。