基于微分变分不等式的再制造闭环供应链网络动态模型

Dynamic model of closed-loop supply chain network with product remanufacturing based on differential variational inequality

针对一段时间内具有再制造的闭环供应链网络的博弈均衡状态问题,首先利用博弈理论,构建了具有多制造商(再制造商)及多零售商(回收商)的再制造闭环供应链网络动态模型,制造商(再制造商)及零售商(回收商)之间从事微分Nash博弈.然后,利用微分变分不等式的方法得到了制造商(再制造商),零售商(回收商)及整个闭环供应链网络的均衡条件.进而,在正则条件下分析了闭环供应链网络动态模型解的存在性条件.仿真算例验证了模型的合理性和有效性.

According to the equilibrium problem among a dynamic closed-loop supply chain network with product remanufacturing,this paper establishes a dynamic closed-loop supply chain network using the game theory,in which the network is consisted of multi-manufacturers(remanufacturers) and multiretailers(recyclers).In the model,the manufacturers(remanufacturers) and retailers(recyclers) engage in differential Nash games.Then the equilibrium conditions of manufacturers(remanufacturers) and retailers(recyclers) as well as the closed-loop supply chain network are formulated as differential variational inequalities.Furthermore,the existence of solution to the dynamic closed-loop supply chain network is analyzed under the regular conditions.Finally,the rationality of the model is illustrated by a numerical example.