An Inventory Model with Limited Production Capacity and Uncertain Demands I. The Average-Cost Criterion
研究了单品种、周期性盘点、需求不确定且每期生产能力有限的库存问题，证明了修正的基库存策略在平均成本准则下的最优性，并给出了最优基库存水平的特征。
This paper considers a single-item, periodic-review inventory model with uncertain demands. In contrast to prior treatments of this problem we assume a finite production capacity per period. Assuming stationary data, a convex one-period cost function and a discrete demand distribution, we show (under a few additional unrestrictive assumptions) that a modified base-stock policy is optimal under the average-cost criterion; in addition, we characterize the optimal base-stock level.