The passenger amount of air transportation increased up to eight times during past 30 years. Due to the dramatically growth of aviation, CO
2 emissions from aircraft engine doubled during this period. Rapid growth of aviation sector would cause climate change, local air pollution and noise problem. In order to mitigate these environmental impacts of aviation, optimal aircraft operation is necessary. The goal for the research is set to formulate optimization model which can consider these environmental impact and to evaluate the mitigation by applying the model to domestic lines of Japan. This paper describes the airline fleet assignment problem including externalities of environmental impacts. The model explores optimal aircraft type, which minimizes social cost that is the sum of total operating cost and external cost of CO
2 and NO
x emissions. The results show optimal fleet assignment can mitigate environmental impact in some degree. However, it might be almost impossible to achieve the reduction target only by optimal fleet assignment.
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