A generalized lot sizing model for the process cycling problem
针对单机调度问题，提出一个允许缺货以延长生产周期、降低单位时间准备成本的批量模型，帮助在库存水平变化时实现最优库存平衡。
Abstract Most scheduling/lot sizing models for the single‐machine problem assume that aggregate demand equals aggregate production; and that backorders are to be avoided. Where working inventories are low, the scheduler may wish to avoid short production runs and willingly incur some backorder penalties so as to increase the length of production runs and reduce setup costs per unit of time. The model proposed here identifies optimal lot sizes with respect to the backorder/setup cost relationships. Use of the model will result in an optimally balanced inventory even when aggregate inventory levels are changing.