一类单一变质性物品存贮系统的最优脉冲控制模型

变质是存贮管理实践中常见的现象,变质损失影响着最优订货策略的确定·在定常需求率、常数变质率、短缺量完全拖后以及使用(s,S)策略补充库存物品的假设下,借助于最优脉冲控制的最大值原理,确定出一类单一变质物品存贮系统的最优脉冲控制,从而得出该类系统的最优脉冲控制模型,使得经营周期[0,T]内系统总的利润最大,为确定变质性物品的最优库存管理策略提供了理论依据·

Optimal Impulsive Control Model for a Sort of Inventory System with Single Deteriorating Item

Under the assumption of constant rate of demand, constant rate of deteriorating,shortage backlogging completely and replenishing the inventory by using ( s,S ) policy, with the aid of maximum principle for optimal impulsive control,the optimal impulsive control for a sort of inventory system with single deteriorating item was obtained. The optimal impulsive control model,was established. The maximal profit of system was obtained by the control model during operating duration .This provides a theoretical foundation for deciding the optimal policy of inventory system with deteriorating items.