An Enhanced Russell Measure of Super-Efficiency for Ranking Efficient Units in Data Envelopment Analysis | Science Publications

American Journal of Applied Sciences

Ali Ashrafi¹  Azmi B. Jaafar¹  Lai S. Lee¹  Mohd R.A. Bakar¹ 

关键词: Data envelopment analysis;    Decision Making Units (DMUs);    super-efficiency;    ranking efficient units;    Enhanced Russell Measure (ERM);   

DOI  :  10.3844/ajassp.2011.92.96

学科分类：自然科学（综合）

来源: Science Publications

【 摘 要 】

Problem statement: Conventional Data Envelopment Analysis (DEA) helps decision makers to discriminate between efficient and inefficient Decision Making Units (DMUs). However, DEA does not provide more information about the efficient DMUs. Super-efficiency DEA model can be used in ranking the performance of efficient DMUs. Because of the possible infeasibility of radial super-efficiency DEA model, the ranking has been limited to the model under the assumption of Constant Returns to Scale (CRS). Approach: This study proposes a super-efficiency model based on the Enhanced Russell Measure (ERM) of efficiency. This is a non-radial measure and appropriate for ranking the efficient DMUs when inputs and outputs may change non-proportionally. Results: Theoretical results show that the new super-efficiency model is always feasible under the assumption of non-CRS. Also, numerical examples from the literature are provided to test the new super-efficiency approach. Conclusion: This study provides a non-radial measure of super-efficiency based on the ERM model to discriminate among the efficient DMUs resulting different efficiency scores greater than one. Unlike the traditional radial super-efficiency models, the proposed method is always feasible.

【 授权许可】

Unknown