变质产品在延期支付和现金折扣下的订购决策模型

Ordering policy for deteriorating items with permissible delay in payment and cash discount

已有的确定性变质产品订购模型通常不考虑缺货并瞬时补货,但事实上库存往往是边补充边消耗的,即非瞬时补货,并且允许缺货。对此,本文基于允许缺货发生但短缺量部分延期供给的假定,以零售商平均总费用最小为目标,建立考虑延期支付和现金折扣协调机制的库存模型,并给出了最优解的求解算法。

The existing ordering models for deteriorating items usually do not consider shortage and the replenishment is instantaneous. However,in the real life,the replenishment and consumption often occur simultaneously,i. e. non-instantaneous replenishment and allowable shortage. Based on the assumption of allowable shortage but partial backlogging,a new optimal ordering policy considering permissible delay in payments and cash discount is developed. And a simple method is given for finding the optimal solution.