有限耐烦期随机库存系统的最优控制

对供应链内部库存系统进行优化控制是提高供应链协调性的一种重要手段。本文针对实际库存活动中普遍存在的有限耐烦期这种现象,综合考虑顾客退货、库存损失等随机因素对最优库存策略的影响,构造出一种更加贴近实际的随机库存系统最优控制模型,并借助于动态规划原理给出了最优控制律的表达式,然后给出了算例及说明。其结果可为随机库存系统的管理决策提供了理论依据,也可为进一步提高供应链的协调性提供了借鉴。

Optimal Control on Stochastic Inventory Systems with Time- Limited Free Backorders

Exercising optimal control on the internal stochastic inventory systems is essential to elevating the coordination of supply chain.We develop a practical model of optimal control on stochastic inventory system by considering the time-limited free backorders,which is usually a common phenomenon in the practical inventory activities,and the impact on optimal inventory law of stochastic factors,e.g.,return of sold goods,spoilage of stocked items,etc.And then,we obtain the optimal control law explicitly with the aid of dynamic programming.In addition,we give the numerical examples and illustrations.The results of this paper would provide theoretical evidence for making decisions on the inventory management and would make special reference further to elevating the coordination of supply chain.