Journal ArticleDOI
A procedure for ranking efficient units in data envelopment analysis
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In this paper, a modified version of DEA based upon comparison of efficient DMUs relative to a reference technology spanned by all other units is developed, which provides a framework for ranking efficient units and facilitates comparison with rankings based on parametric methods.Abstract:
Data Envelopment Analysis DEA evaluates the relative efficiency of decision-making units DMUs but does not allow for a ranking of the efficient units themselves. A modified version of DEA based upon comparison of efficient DMUs relative to a reference technology spanned by all other units is developed. The procedure provides a framework for ranking efficient units and facilitates comparison with rankings based on parametric methods.read more
Citations
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Journal ArticleDOI
A multivariate statistical approach to reducing the number of variables in data envelopment analysis
Larry Jenkins,Murray Anderson +1 more
TL;DR: This paper describes a systematic statistical method for deciding which of the original correlated variables can be omitted with least loss of information, and which should be retained.
Journal ArticleDOI
Chapter 5 Duality, classification and slacks in DEA
TL;DR: Seven theorems are presented which expand understanding of the theoretical structure of the Charnes-Cooper-Rhodes (CCR) model of Data Envelopment Analysis, especially with respect to slacks and the underlying structure of facets and faces, and are a basis for new algorithms which will provide optimal primal and dual solutions.
Journal ArticleDOI
Sensitivity and Stability Analysis in DEA: Some Recent Developments
TL;DR: The newer analytical methods described in this paper make it possible to determineranges within which all data may be varied for any DMU before a reclassification from efficient to inefficient status occurs.
Journal ArticleDOI
Robustness of the efficient DMUs in data envelopment analysis
TL;DR: In this paper, sensitivity analysis of the CCR model in data envelopment analysis (DEA) is studied by means of modified versions of CCR models based on evaluation of a decision making unit (DMU) relative to a reference set grouped by all other DMUs.
Journal ArticleDOI
Data envelopment analysis vs. principal component analysis: An illustrative study of economic performance of Chinese cities
TL;DR: Two approaches in aggregating multiple inputs and multiple outputs in the evaluation of decision making units (DMUs), data envelopment analysis (DEA) and principal component analysis (PCA) are compared.
References
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Journal ArticleDOI
Measuring the efficiency of decision making units
TL;DR: A nonlinear (nonconvex) programming model provides a new definition of efficiency for use in evaluating activities of not-for-profit entities participating in public programs and methods for objectively determining weights by reference to the observational data for the multiple outputs and multiple inputs that characterize such programs.
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Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis
TL;DR: The CCR ratio form introduced by Charnes, Cooper and Rhodes, as part of their Data Envelopment Analysis approach, comprehends both technical and scale inefficiencies via the optimal value of the ratio form, as obtained directly from the data without requiring a priori specification of weights and/or explicit delineation of assumed functional forms of relations between inputs and outputs as mentioned in this paper.
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Measuring the technical efficiency of production
Rolf Färe,C. A. Knox Lovell +1 more
TL;DR: The purpose of this paper is to specify a set of properties such an efficiency measure should satisfy, to show that the widely used measure proposed by Farrell does not satisfy them, and to introduce a new measure that does satisfy these properties.
Journal ArticleDOI
Polyhedral Cone-Ratio DEA Models with an illustrative application to large commercial banks
TL;DR: Polyhedral Cone-Ratio Data Envelopment Analysis Models generalizing the CCR Ratio Model are developed for situations with a finite number of DMUs and employing polyhedral cones of virtual multipliers as discussed by the authors.