考虑碳交易的供应链环境下产品定价与产量决策研究

研究了一个由多个供应商、多个制造商和多个市场组成的三级供应链系统中产品的最优定价与产量决策问题。供应链系统中的各方通过一个碳交易中心组成一个碳交易市场。基于供应链子网及碳交易子网构建了一个超网络模型。假定供应商为高排放型，是碳交易市场上的买家，制造商为低排放型，是卖家，探讨了超网络中各决策者达到均衡时企业的最优产品定价及产量决策。基于n维实数空间，对变分不等式目标函数解的存在性、唯一性及最优解的充要条件给予了详细的证明。基于修正投影算法通过数值例子对模型进行求解，对比分析了有、无碳交易两种情况下供应链各参与方及系统的整体绩效，得出了一些管理学上的见解及对政府政策上的建议。

Research on Product Pricing and Production Decision-making under the Supply Chain Environment Considering the Carbon-trading Mechanism

Assuming that a local government has launched a regional carbon trading market on the purpose of maximizing the profit of the whole production system which is under supervision, a variational inequality is used to construct a supernetwork framework including a supply chain subnetwork and a carbon trading subnetwork. It is assumed that the supplier always play the role of buyer and the manufacturer as the seller in carbon market. The profit-maximized subjective function of each firm in is formulated based and their optimal pricing and production decisions are discussed on the network which also contains a self-benefited carbon trading center. Based on this specific problem and combined with previous work, the proof of the existence, uniqueness and sufficient and necessary conditions of the optimal solution are comprehensively provided. A Korpelevich modified projection algorithm is addressed for solving the problem. With a numerical example, a convergent result is found out. With a comparison analysis between the scenarios of "participating in trading" and "not participating in trading", the result shows some valuable managerial insights on the decision making of the company and the government under the low-carbon environment.