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

doi:10.12005/orms.2021.0142

运筹与管理 ›› 2021, Vol. 30 ›› Issue (5): 38-45.DOI: 10.12005/orms.2021.0142

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

李鹏宇¹, 徐士琴¹, 韩继业²

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

收稿日期:2016-02-27 出版日期:2021-05-25
作者简介:李鹏宇(1982-),男,北京人,博士研究生,研究方向:产业经济创新。
基金资助:
国家自然科学基金资助项目(71372157)

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

LI Peng-yu¹, XU Shi-qin¹, HAN Ji-ye²

1. School of Business, Renmin University of China, Beijing 100872, China;
2. Institute of Applied Mathematics, Chinese Academy of Sciences, Beijing 100080, China

Received:2016-02-27 Online:2021-05-25

摘要/Abstract

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。

关键词: 闭环供应链, 网络均衡, 互补模型, 环境指示因子

Abstract: In this paper, we propose a closed-loop supply chain network equilibrium model with environmentalindicators 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.

Key words: closed-loop supply chain, network equilibrium, complementarity model, environmental indicators

中图分类号:

O221

李鹏宇, 徐士琴, 韩继业. 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[J]. 运筹与管理, 2021, 30(5): 38-45.

LI Peng-yu, XU Shi-qin, HAN Ji-ye. Research on the Complementarity Model of Closed-Loop Supply Chain Network Equilibrium with Environmental Indicators[J]. Operations Research and Management Science, 2021, 30(5): 38-45.

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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

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