A Note on Assemble-to-Order Systems with Batch Ordering
研究按订单装配系统中的库存控制，在组件采用(R, nQ)补货策略且客户订单为多元复合泊松过程时，证明了库存位置向量在一般条件下具有均匀均衡分布，从而将单产品理论推广到多组件系统，并可用于计算订单满足率等关键绩效指标。
We study an assemble-to-order inventory system. The stocks are held for components, with final products assembled only when customer orders are realized. Customer orders form a multivariate compound Poisson process, component replenishment leadtimes are constant, and demands in excess of inventory on hand are backlogged. The component inventories are controlled by (R, nQ) policies. We show that under certain general conditions the inventory position vector has a uniform equilibrium distribution. This result generalizes the corresponding single-item theory considerably. It allows us to express the key performance measures of the system, such as order fill rates and average order-based backorders, as the averages of their counterparts in the base-stock systems.