Data Envelopment Analysis Journal > Vol 1 > Issue 2

Sensitivity Analysis of Input Relaxation Super Efficiency Measure in Data Envelopment Analysis

M. Khodabakhshi, Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Iran, S. Rashidi, Department of Mathematics, Faculty of Sciences, Lorestan University, Iran, M. Asgharian, Department of Mathematics and Statistics, McGill University, Canada, L. Neralić, Faculty of Economics & Business, University of Zagreb, Croatia, lneralic@efzg.hr
 
Suggested Citation
M. Khodabakhshi, S. Rashidi, M. Asgharian and L. Neralić (2015), "Sensitivity Analysis of Input Relaxation Super Efficiency Measure in Data Envelopment Analysis", Data Envelopment Analysis Journal: Vol. 1: No. 2, pp 113-134. http://dx.doi.org/10.1561/103.00000009

Published: 30 Jul 2015
© 2015 M. Khodabakhshi, S. Rashidi, M. Asgharian and L. Neralić
 
Subjects
Performance measurement,  Productivity measurement and analysis,  Nonparametric methods,  Optimization,  Operations Research
 
Keywords
Linear programmingSuper-efficiencyInput relaxationSensitivity analysis
 

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In this article:
1. Introduction
2. Preliminaries
3. Sensitivity Analysis of Input Relaxation Super Efficiency Measure
4. Closing Remarks
Acknowledgement
References

Abstract

Sensitivity analysis is an essential part of studying efficiency in data envelopment analysis (DEA). One appealing approach to sensitivity analysis allows simultaneous data perturbation in all DMUs. We present this type of sensitivity analysis for super-efficiency measures when some input relaxation is permissible. We also study sensitivity analysis in the worst-case scenario where the efficiency, based on the relaxed inputs, of an evaluating unit is worsening while the efficiencies of the other DMUs are improving. Necessary and sufficient conditions for preserving a DMU's efficiency classification are developed when various data changes are applied to all DMUs.

DOI:10.1561/103.00000009