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构建了碳排放限额和碳限额与交易政策下的两类分布式鲁棒优化模型,当市场需求分布的期望和方差已知且制造商生产过程产生碳排放时,求解了制造商的最优生产和减排投资策略.将两类碳政策下的分布式鲁棒优化模型分别与无碳约束的情形进行比较,结果表明:在两类碳政策下减排投资有利于制造商获得更高的利润,并且减排投资在碳限额与交易政策下能够降低碳排放量而在碳排放限额政策下对控制碳排放量没有效果;与碳排放限额政策相比,碳限额与交易政策能够实现高利润低排放;碳排放限额政策下制造商的利润不高于无碳约束的情形,而在碳限额与交易政策下当碳配额满足一定条件时制造商的利润大于无碳约束的情形.最后利用数值算例验证了理论结果同时通过碳系数的变化检验了两类碳政策的鲁棒性.
Two kinds of distributed robust optimization models under the carbon emission quota, the carbon quota and the trading policy are constructed. When the expectation and variance of the market demand distribution are known and the carbon emissions of the manufacturer’s production process are known, the optimal production of the manufacturer And emission reduction investment strategy.Comparing the distributed robust optimization models under two kinds of carbon policies with the carbon-free constraints respectively, the results show that under the two types of carbon policies, investment in emission reduction will help manufacturers to obtain higher profits , And reducing investment in carbon credits and trading policies can reduce carbon emissions with no effect on controlling carbon emissions under the carbon emission allowance policy; carbon credits and trading policies can achieve high profit margins compared to carbon allowance policies The profit of the manufacturer under the carbon emission allowance policy is not higher than that of the carbon-free constraint, while the profit of the manufacturer is larger than the carbon-free constraint under the carbon quota and trading under the carbon quota and trading policy. Example shows that the theoretical results verify the robustness of two types of carbon policies through the change of carbon coefficient.