Periodic Review Inventory Systems with Continuous Demand and Discrete Order Sizes
研究需求连续但订货量必须为整数的库存系统，发现无固定成本时最优策略简单，有固定成本时可能反直觉，并给出整数限制导致的成本上界及次优策略。
We study a single product inventory system with nonnegative setup cost in which the demand is a continuous random variable but orders are restricted to be integer valued. Optimal policies, when there are no setup costs, have a nice form. However, we show that, when the setup costs are nonzero, optimal policies may have a very counterintuitive form without any particular structure. We obtain a bound for the increase in costs resulting from the restriction of orders to be integers and define a suboptimal policy whose performance is within that bound.