中文摘要：

近年来,在工程机械和建筑设备等行业,出现了经销商从事再制造的实际案例。基于此,研究经销商从事再制造的多周期闭环供应链网络均衡问题。在每个规划期末,经销商承担废旧产品的回收,然后将一部分转卖给制造商,剩余部分用于自身的再制造;此外,考虑制造商能够在设计阶段确定产品的可再制造水平。利用变分不等式和拉格朗日对偶理论获得各层成员的Nash均衡条件,进而建立整个闭环供应链网络的均衡模型。通过修正投影收缩算法求解,结合算例分析经销商的再制造转化率和经销商销售给制造商的废旧品比例对各成员利润和再制造设计水平的影响。结果表明：在大多数情况下,经销商从事再制造对其自身有利,制造商利润降低,需要设计适当的机制实现系统的帕累托改进;随着再制造转化率的提高,经销商的收益逐渐改善,制造商的利润增加缓慢。

英文摘要：

Recently, in the industries of engineering machinery and construction equipment, a few distributors begins to engage in remanufacturing. Based on this, the multi-period closed-loop supply chain（CLSC） network equilibrium problem is studied when the distributors remanufacture the end-of-life（EOL） products. The distributors collect the EOL products at the end of each period and sell a part of them to the manufacturers. The remainder of EOL products is used for remanufacturing themselves. In addition, it is assumed that the manufacturers can select the remanufacturability level in the phase of product design. Using the variational inequalities and Lagrange duality theory, the Nash equilibrium conditions of various players are obtained, and then the equilibrium model is established. The model is solved by modified projection contraction algorithm. Then numerical examples are provided to analyze the impact of remanufacturing conversion rate of the distributors and the ratio of the EOL products sold from the distributors to the manufacturers on the profits of various players and remanufacturablity level. The results show that in most cases the distributors’ remanufacturing benefit themselves and the whole CLSC network, but the manufacturers’ profits decrease, therefore a suitable profit allocation mechanism should be designed to implement Pareto improvement; when the conversion rate increases, the higher of the conversion rate value is, the better the distributors are. However, the manufacturers’ profits increase slowly.