DEA Super Efficiency Evaluation Model Based on the Complete Envelopment Frontier

To give a fair,reasonable and full ranking for all decision making units,the paper advances a super efficiency DEA model based on the complete envelopment frontier.Firstly the paper discusses the relationship between the envelopment frontier and DEA efficiency score,proposes the concept of the complete envelopment frontier,and demonstrates the difference and relationship among the best practice frontier,the worst practice frontier and the complete envelopment frontier in the iso-output chart.Subsequently the paper develops the DEA super efficiency model based on the worst practice frontier.Finally the paper advances the CEF(complete envelopment frontier)-based on super efficiency DEA model,and in the model the goal function consists of the best and worst efficiency scores.The proposed approach can be used in ranking all DMUs,considering the weight system that the DMU prefers most and least simultaneously.The proposed approach can be used in various real world applications since it can obtain reasonable ranking results.