Abstract
A dynamic closed-loop supply chain model with product remanufacturing is proposed. In the closed-loop supply chain system, used-product return rate has dynamic characteristics. The collecting efforts in this period would directly affect the return rate to increase or decrease compared to the last period. By build the differential equation about product return rate, whose variation velocity is determined by investment in the reverse channel, dynamic model of manufacturer collecting used product is developed. The optimal control strategies of both manufacturer and retailer are found by the differential game approach. The optimal strategies and optimal profit of both manufacturer and retailer are analyzed.
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