田志勇，周丽，袁瑞萍

（北京物资学院信息学院，北京101149）

摘要：考虑报童订货、销售和剩余存货处理活动产生的碳足迹，针对碳限制和交易机制，将报童问题分为商品市场和碳交易市场，分别设置相关参数和变量，将碳足迹融入报童问题，构建了考虑碳足迹的报童模型。通过模型分析，研究了重要商品市场参数和碳交易市场参数对决策变量和目标函数的影响。通过与传统报童模型的比较，发现碳限制和交易机制下报童订货量要低于传统报童模型，在实现减排目的的同时也降低了经济活动。但这并不意味着报童一定以牺牲经济利益为代价，报童经济利益是提高还是降低取决于碳配额和碳交易价格。最后，论文通过数值计算验证了分析结论，并提供了一系列具有实用价值的管理洞察。

关键字：碳限制和交易；碳足迹；报童模型；订货量

The Newsvendor Problem under Carbon Cap-and-trade Mechanism

TIAN Zhi-yong，ZHOU Li，YUAN Rui-ping

（School of Information,Beijing wuzi university, Beijing 101149, China）

Abstract: The newsvendor model with carbon footprint under the carbon cap-and-trade mechanism are built by considering the carbon footprint generated from ordering, sales and handling overage stocks. In the model, newsvendor markets is classified as goods market and carbon market, and it sets up the related parameters and variables for each market. Through model analyzing, it researches the effect of the important parameters of goods market and carbon market on decision variables and objective function. The results show the order quantity of carbon cap-and-trade is lower than that of classical model. This means it realizes emission abatement with reducing economic activities. But this does not mean the newsvendor must be done at the cost of economic profits. Whether the economic profits of the newsvendor increase or not depends on carbon allowance and price. At the end, the paper provides a series of interesting management insights through numerical examples, which test and verify the analytical results above too.

Keyword:carbon cap-and-trade; carbon footprint; newsvendor model; order quantity