A Deterministic Inventory System with an Inventory-Level-Dependent Demand Rate
研究了需求率随库存水平变化的确定性库存系统，用微积分和可分离规划求解最优订货水平和订货点，并给出数值例子和敏感性分析。
This analysis is concerned with the continuous, deterministic case of an inventory system in which the demand rate of an item is of a polynomial functional form, dependent on the inventory level. Differential and integral calculus are used to find the inventory function with respect to time. From this, the objective function (to maximize average profit per unit time) is developed. For the continuous, multiperiod situation, a non-linear programming algorithm—separable programming—is utilized to determine the optimal order level (the quantity to order up to) and the order point (the quantity at which an order is placed). A numeric example and a sensitivity analysis are also presented.