Abstract: Based on the hypothesis of time-dependent partial backlogging,the effect of the waiting time between the next replenishment and the satisfaction of the backlogging demand on the rate of partial backlog-grog was investigated in this paper. Then the backlogging rate influenced by the replenishment capacity and the total of backlogging demand was proposed. Based on this new standpoint,an EOQ model of replenishment with the replenishment capacity affecting the partial backlogging was built up.At last,an emulator was performed and the results showed:improving the replenishment capacity could reduce the replenishment times to a lower constant level;this effect may increase the waiting time before the next replenishment,but it could decrease the waiting time after the start of reple山shment;so the trend of the lostsales varying with the replenishment capacity was not very distinct at the medium level of the replenishment capacity;However,the more adequate replenishment capacity could reduce the number of lostsales and improve the rate of partial backlogging during shortage period than the less one.

Key words: EOQ model, replenishment capacity, partial backlogging, waiting time, deterioration