Abstract: The optimal inventory policy for a dual-channel supply chain problem with learning effects is considered in this paper. Distributor satisfies the downstream customer's demands of both traditional channel and internet channel in a finite planning horizon. The sell price of each channel is assumed to be a non-decreasing linear function of time. When learning effect of fixed set-up cost is incorporated into a supply chain system with a constant probability,a mixed-integer constraint optimization model for non-perishable items and a unconstrained optimization model for perishable items are established. The objectives of two models are maximizing the total profits. By analyzing the optimal properties for each model,it is proved that the optimal inventory policy is unique by using the technique of relaxing the number of replenishments to continuous variable. In addition,the solving method of the optimal inventory policy for each model is proposed and both of these models are compared. Finally,some numerical examples are provided to illustrate above theoretical models and the numerical results also show that more profit can be obtained when learning effect is incorporated into the supply chain system.

Key words: supply chain, learning effect, dual channel, optimal policy