碳排放约束下动态定价与批量的联合决策

Coordination of dynamic pricing and lot sizing with carbon emission limit

文章把碳足迹引入到产品动态定价与批量问题的联合决策中,针对碳排放量总量限制、允许交易碳排放许可权和征收碳排放税3种情形分别建立了混合整数规划数学模型,提出了一种基于动态规划的启发式算法。实验结果表明:在碳排放量总量限制情形,碳排放定额对利润和碳排放量有着重要影响;在允许交易碳排放许可权情形,碳排放定额不影响碳排放量,但生产计划和碳排放交易价格显著地影响利润和碳排放量;在征收碳排放税情形,提高单位碳排放税会促使企业利润和碳排量都大幅度下降。

The carbon footprint is introduced into the coordination of dynamic pricing of product and lot sizing. The mixed integer programming mathematical models are established under three circumstances respectively, that is, total carbon emission limit, carbon emission trading and carbon emission tax. And a heuristic algorithm based on the dynamic programming is also developed. The experimental results are as follows： under the circumstance of total carbon emission limit, the carbon cap has a great effect on the profit and the amount of carbon emissiom under the circumstance of carbon emis sion trading, the amount of carbon emission is not affected by the carbon cap while the profit and the amount of carbon emission are greatly affected by the product plan and the price of carbon emission trading; under the circumstance of carbon emission tax, the profit of the firm and the amount of car bon emission decrease dramatically with the increase of carbon emission tax per unit.