考虑一个多阶段生产系统,在每个阶段上生产批量被分成若干个子批量进行加工,子批量可以相等也可以不相等,同时每个阶段上在相邻子批量之间可以有空闲。每个阶段上子批量的数目可以不相等。文中首先以系统总变动成本为目标函数对这样一个系统建立对应的模型,提出了求解这一问题的启发式方法,通过数值算例验证了这一方法的有效性。此外,还讨论了重启成本、空闲成本和对应于子批量的调整成本对系统总变动成本、生产批量以及子批量数目的影响。 Consider a multi-stage production system in which production lots are divided into sub-lots for processing, sub-batches can be equal or unequal, and each stage can be idle between adjacent sub-batches. The number of sub-batches at each stage may not be equal. In this paper, we first establish a corresponding model for such a system using the total system variable cost as the objective function, and propose a heuristic method to solve this problem. The numerical example shows the effectiveness of this method. In addition, the impact of restart costs, idle costs, and adjustment costs corresponding to sub-batches on total system cost of change, production lot, and sub-lot quantities is discussed.