In this paper, we explore the impact of carbon trading on the safety stock placement optimization in multi-echelon supply chains. The carbon emission in each stage of the supply chain is measured through a function of the service time quoted by the stage as a key variable. Adopting the guaranteed service time modelling framework, we develop a safety stock placement model under the carbon cap-and-trade policy to study the complex trade-off among the carbon cap, the carbon price, and the service time. Based on the different relationship between the unit purchasing and selling carbon prices, we derive the tractable formulations of the proposed model using successive mixed-integer programming approximations. A series of observations through the model implementation on a real-world chain data from Willems (2008) are summarized to understand how the carbon cap and price can affect a firm’s safety stock placement and carbon emissions.

中文翻译：

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在有保障的服务供应链中通过碳限额与交易进行库存放置


在本文中，我们探讨了碳交易对多级供应链安全库存配置优化的影响。供应链每个阶段的碳排放量是通过该阶段引用的服务时间的函数作为关键变量来衡量的。采用保证服务时间建模框架，我们在碳限额与交易政策下开发了一个安全库存配售模型，以研究碳限额、碳价格和服务时间之间的复杂权衡。基于单位购买碳价格和销售碳价格之间的不同关系，我们使用连续的混合整数规划近似推导出所提模型的可处理公式。总结了通过在 Willems （2008） 的真实链数据上实施模型实现的一系列观察结果，以了解碳上限和价格如何影响公司的安全库存配置和碳排放。