研究了闭环供应链网络双渠道均衡问题,其中制造/再制造工厂存在产能约束,通过分销/回收中心实体链和通过电子商务直销渠道,将其产品经由零售商/回收点销售给存在限制性价格上限的消费市场.借助变分不等式理论,建立了闭环供应链网络双渠道均衡模型,设计了求解均衡解的对数二次逼近的预测校正算法.从数值算例分析得到: 消费市场中的商品会发生短缺,由于限制性价格上限的存在,当存在产能约束时情况会更为严重.另外,制造/再制造工厂加入直销渠道会增加制造/再制造工厂、零售商/回收点及闭环供应链的利润,但会减小分销/回收中心的利润.

A dual channel equilibrium model of a competitive closed-loop supply chain network with random demands is developed, with both physical and electronic transactions. The competitive dual channel closed-loop supply chain network is comprised by noncooperative manufacture/remanufacturing firms with production capacity constraints, distribution/recycling centers, retailers/recovery points with random market demand as well a binding price ceiling
of the goods. With the help of variational inequality theory, the network structure of the closed-loop supply chain is identified and the dual channel equilibrium conditions are derived. An algorithm for solving the equilibrium pattern is designed by logarithmic-quadratic proximal prediction-correction method. Numerical examples were given to show the impact of produc- tion capacity constrains and price ceiling on the network equilibrium pattern. The results show
that a shortage of the good arises when the government imposes a binding price ceiling on competitive markets, which is more serious in the existence of production capacity constraints. The profit of manufacture/remanufacturing firms, retailers/recovery points and supply chain is increased by adding a direct channel. However, the profit of distribution/recycling centers is decreased.