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

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
Publication Date: 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 programming, Super-efficiency, Input relaxation, Sensitivity analysis

JOURNALS

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

Leave a Comment

Your email address will not be published. Required fields are marked *