考虑排放许可与交易的生产优化

Optimal Production Policy with Emission Permits and Trading

本文旨在研究排放许可与交易机制对排放依赖性企业生产策略的影响。生产商可通过三种渠道获得排放许可:政府配额、市场交易和净化处理,并在不同渠道间取得平衡。本文分析了净化处理成本的特点,分别对确定净化水平与可控净化水平情况展开讨论,建立企业生产优化模型,得到了有排放限额下的最优生产策略。通过分析模型,得到了优先选择净化处理的充分必要条件,即"存在净化空间";此外还证实了最优策略的唯一存在性。最后通过数值分析说明了本文模型的应用,并采用灵敏度分析对参数影响加以分析。

The paper focuses on the impact of emission permits and trading on the production policy for emission-dependent firms. The firm might obtain emission permits in three different ways, i.e. government quota, market trade and purifying, and making a tradeoff between them. The characteristic of purifying cost is analyzed, based on it the cases of deterministic and variable purifying levels are investigated respectively. Then, an optimal production model with emission permits and trading is established. Additionally, a sufficient and necessary condition that the firm would prefer purification to trading is proposed, i.e. the so-called purifying domain is nonempty. Moreover, the existence and uniqueness of the optimal policy is guaranteed. Finally, a typical numerical example is employed to show the application of the model.