Approximations for a Lost-Sales Production/Inventory Control Model with Service Level Constraints
研究一种单产品生产/库存模型，其中生产率可动态调整以应对随机需求波动，针对两临界点控制规则推导出实现预设服务水平的切换水平近似公式，数值实验表明近似效果良好。
This paper deals with a one-product production/inventory model, where the production rate can be dynamically adjusted in order to cope with random fluctuations in demand. The inventory level is controlled by using one of two possible production rates where under each production rate the production is continually added to the inventory. The demand process for the product is described by a compound Poisson process. Also, excess demand is lost. In accordance with common practice we consider service measures as the average number of lost-sales occurrences per unit time and the fraction of demand that is lost. For a two-critical-number control rule we derive practically useful approximations for the switch-over level in order to achieve a prespecified service level. Numerical experiments reveal that the approximations are quite accurate.