缺货量部分拖后订货的易变质物品的库存模型

研究了时变需求下,缺货量可以部分拖后订货的易变质物品的库存问题.有关易变质物品的库存问题研究,往往假设未被满足的需求可以全部拖后订货,同时在计算总成本时忽视了销售损失成本和采购成本,这导致模型与实际情况具有较大的差距.在总成本中计入销售损失成本和采购成本,通过假定未被满足的需求拖后订货率线性取决于缺货周期内排队等待的队伍中总的顾客数目,并将物品的常数需求函数扩展到时变凹函数,建立了有限时域内易变质物品的补货时间安排模型.给出了求解模型的算法和数值算例,得到最优订购策略.

Inventory Model of Deteriorating Items with Stock-Out Partial Backlogging

An inventory model is developed for deteriorating items during stock-out which is partial backlogging.In the earlier researches on inventory of deteriorating items,the unsatisfied demand was usually assumed that it is completely due to backlog,and the purchase cost and the cost of lost sales were ignored in calculating the total cost,thus resulting in a big gap between the inventory model and reality.The backlogging rate of unsatisfied demand linearly depending on the total number of customers in the waiting line is used to present the condition during stock-out and both the purchase cost and the cost of lost sales are included in the total cost,then an optimal inventory model is developed by extending the constant demand function of goods into time-varying concave demand function.A simple algorithm is also provided to find the optimal ordering policy for this model.Further,a numerical example is given to illustrate the results.