DEA(data envelopment analysis) is a technique for evaluation of relative efficiency of decision making units (DMUs) that have multiple input and output. A DEA model measures the efficiency of a DMU by the relative position of the DMU’s input and output in the production possibility set defined by the input and output of the DMUs being compared. In this paper, we proposed several DEA models measuring the multi-period efficiency of a DMU. First, we defined the input and output data that make a production possibility set as the spanning set. We proposed several spanning sets containing input and output of entire periods for measuring the multi-period efficiency of a DMU. We defined the production possibility sets with the proposed spanning sets and gave DEA models under the production possibility sets. Some models measure the efficiency score of each period of a DMU and others measure the integrated efficiency score of the DMU over the entire period. For the test, we applied the models to the sample data set from a long term university student training project. The results show that the suggested models may have the better discrimination power than CCR based results while the ranking of DMUs is not different.

1. 서 론
2. 생산가능집합
    2.1 생성집합
    2.2 다 기간 성과평가를 위한 생산가능집합
3. DEA 모델 및 다기간 성과평가
4. 적용사례
5. 결 론
Acknowledgement
References

• Kiseong Kim(전북대학교 산업정보시스템공학과 / 일반대학원 산업시스템공학과) | 김기성
• Taehan Lee(전북대학교 산업정보시스템공학과 / 일반대학원 산업시스템공학과) | 이태한 Corresponding author