带有环境指示因子的闭环供应链网络均衡的互补模型研究  

Research on the Complementarity Model of Closed-Loop Supply Chain Network Equilibrium with Environmental Indicators

作　　者：李鹏宇[1] 徐士琴[1] 韩继业[2] LI Peng-yu;XU Shi-qin;HAN Ji-ye(School of Business,Renmin University of China,Beijing 100872,China;Institute of Applied Mathematics,Chinese Academy of Sciences,Beijing 100080,China)

机构地区：[1]中国人民大学商学院,北京100872 [2]中国科学院应用数学研究所,北京100080

出　　处：《运筹与管理》2021年第5期38-45,共8页Operations Research and Management Science

基　　金：国家自然科学基金资助项目(71372157)。

摘　　要：以非线性互补理论为基本工具,提出带有环境指示因子且由原料供应商、制造商、零售商、需求市场及回收中心组成的闭环供应链网络均衡。鉴于对可持续发展的日益关注,环境保护部门通过实施对制造商的排放进行惩罚的机制以遏制其污染行为,同时通过对回收中心的回收实行奖励的机制以激励其回收行为。排放惩罚与回收奖励应大于相应的影子价格,这些影子价格作为环境指示因子由模型决定且有益于政府部门制定相应环保政策。在描述不同决策者优化行为的基础上推导最优性条件,得到对应于闭环供应链网络均衡问题的非线性互补模型,证明解的存在性进而构造数值算例以验证模型的合理性。In this paper,we propose a closed-loop supply chain network equilibrium model with environmental indicators through nonlinear complementarity theory,which is composed of raw material suppliers,manufacturers,retailers,demand markets and recovery centers.In view of sustainable development,the Ministry of Environmental Protection legislates by imposing emission penalties to prevent the manufacturers from violating laws and regulations but offering premiums to stimulate the recovery centers to recycle used products.The penalties and premiums should be greater than the corresponding shadow prices as environmental indicators determined by the model,which is constructive for decision making of the authorities.We describe their behavior,derive optimality conditions and establish the corresponding nonlinear complementarity model in accordance with the closed-loop supply chain network equilibrium conditions.Based on the existence of solution to the model under reasonable assumptions,a numerical example is provided for illustration.

关 键 词：闭环供应链 网络均衡 互补模型 环境指示因子 

分 类 号：O221[理学—运筹学与控制论]