Infeasibility Of Super-Efficiency Data Envelopment Analysis Models

Lawrence M. Seiford · Joe Zhu

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Efficiency Analysis Using DEA Multi-Criteria Decision Making Optimization and Mathematical Programming

Abstract

The paper investigates the infeasibility of super-efficiency data envelopment analysis (DEA) models in which the unit under evaluation is excluded from the reference set. Necessary and sufficient conditions are provided for infeasibility of the super-efficiency DEA measures. By the returns to scale (RTS) classifications obtained from the standard DEA model, we can further locate the position of the unit under evaluation when infeasibility occurs. It is shown that the ranking of the total set of efficient DMUs is impossible because of the infeasibility of super-efficiency DEA models. Also we are able to identify the endpoint positions of the extreme efficient units. The results are useful for sensitivity analysis of efficiency classifications.

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References

1978Measuring the efficiency of decision making units 1984Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis 1993A Procedure for Ranking Efficient Units in Data Envelopment Analysis 1990Recent developments in DEA 1996Data envelopment analysis: The evolution of the state of the art (1978?1995)1992Estimation of returns to scale using data envelopment analysis 1990Translation invariance in data envelopment analysis

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2004Data Envelopment Analysis 2001Evaluation of deregulated airline networks using data envelopment analysis combined with principal component analysis with an application to Western Europe 2005The super-efficiency procedure for outlier identification, not for ranking efficient units 2014Trajectories of efficiency measurement: A bibliometric analysis of DEA and SFA 2015Research fronts in data envelopment analysis 2001Sensitivity and Stability Analysis in DEA: Some Recent Developments

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