In this paper, an integer linear programming formulation is developed according to the characteristics of reverse logistics of the automobile parts while the integration of a reverse logistics network is considered. Based on the forward supply chain model, the paper builds a multi-period, multicommodity and closed loop of an auto supply network. The model aims to pursue minimization of the total cost. Finally, the model is validated and solved by using Lingo. Meanwhile, a comparison of the total cost of two different cases is presented and the model is proved to be scientific and effective by a representative supply chain case.
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