Most of the data envelopment analysis (DEA) models evaluate the relative efficiency of a decision making unit (DMU) based on the assumption that inputs in a specific period are consumed to produce the output in the same period of time. However, there may be some time lag between the consumption of input resources and the production of outputs. A few models to handle the concept of the time lag effect have been proposed. This paper suggests a new multi-period input DEA model considering the consistent time lag effects. Consistency of time lag effect means that the time delay for the same input factor or output factor are consistent throughout the periods. It is more realistic than the time lag effect for the same output or input factor can vary over the periods. The suggested model is an output-oriented model in order to adopt the consistent time lag effect. We analyze the results of the suggested model and the existing multi period input model with a sample data set from a long-term national research and development program in Korea. We show that the suggested model may have the better discrimination power than existing model while the ranking of DMUs is not different by two nonparametric tests.

1. Introduction
2. Existing Time Lag Models and Consistent Time Lag Model
3. Multi-Period Input Model with a Consistent Time Lag Effect
    3.1 Consistent Time Lag Effect
    3.2 Multi-Period Input Model with a Consistent Time Lag
4. Case Example
5. Conclusion
References

• Byungho Jeong(Dept. of Industrial and Information Systems Engineering, Chonbuk National University) | 정병호
• Yanshuang Zhang(Hangzhou College of Commerce, Zhejiang Gongshang University) | 장연상
• Taehan Lee(Dept. of Industrial and Information Systems Engineering, Chonbuk National University) | 이태한 Corresponding Author