Abstract: The customers'sensitivity to the waiting time and the quantity of backlogged items under the stock-out period have a strong effect on the rate of partial backlogging. Based on this the application situation of different replenishment polities was researched It shows:(s,S) replenishment policy are more suitable to the inventory system with the high unit cost for backlogged items and lost sales;(t,S) replenishment policy and (t,s,S) replenishment policy are more suitable to the inventory system with the high unit cost for backlogged items and lost sales. In the inventory system with the high unit cost for backlogged items and lost sales,(t,S) replenishment policy is more suitable to the inventory system when the customers' sensitivity to the quantity of the backlogged items is lower,or else (t,s,S) replenishment policy is more suitable;and the customers'sensitivity to the waiting time down't have a significant effect on the application situation of the replenishment policies.

Key words: replenishment policy, partial backlogging, waiting time, customers’sensitivity