考虑再制造投资的闭环供应链网络均衡模型

针对企业投入资金以提高回收产品再制造率的闭环供应链问题，建立了再制造率的投资函数，构建了制造商回收的两层闭环供应链网络。利用均衡理论和变分不等式理论描述决策者的决策行为，在利润最大化的基础上考虑排放最小化。运用修正投影算法，求解出网络中不同回收标准与补贴政策下企业的最优生产决策，并分析企业的投资效率对回收再制造过程的均衡决策的影响。算例结果表明，最低回收标准的上升会减少环境排放，提高回收补贴却会导致排放量的上升，且再制造投资效率越高的企业此效应越明显。

A Closed Loop Supply Chain Network Equilibrium Model with Remanufacturing Investment

With the development of circular economy, enterprises invest more in the recycling of discarded products, saving energy and materials to improve the corporate profits and fulfill social responsibility. To solve the closed-loop supply chain problem of enterprise recycling and remanufacturing, a two-tier closed-loop supply chain network, with the manufacturer recycling and the remanufacturer investing capital to improve the remanufacturing rate of recycled products, is constructed. The investment function of remanufacturing rate is established. The equilibrium theory and variational inequality theory are used to describe the decision-making behavior of the decision-maker. The minimization of emission is considered based on the maximization of profit. By using the modified projection algorithm, the optimal production decision of enterprises under different recovery standards and subsidy policies in the network is solved, and the impact of the investment efficiency of the enterprise on the equilibrium decision-making analyzed. The results show that the increase of the minimum recovery standard will reduce the environmental emissions, while the increase of the recovery subsidy will lead to the increase of the emissions. The higher the efficiency of remanufacturing investment, the more obvious the effect is.