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Book ChapterDOI

DEA Cross Efficiency

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TLDR
In this article, a cross efficiency method was developed as a DEA extension to rank DMUs with the main idea being to use DEA to do peer evaluation, rather than in pure self-evaluation mode.
Abstract
Data envelopment analysis (DEA) provides a relative efficiency measure for peer decision making units (DMUs) with multiple inputs and outputs. While DEA has been proven an effective approach in identifying the best practice frontiers, its flexibility in weighting multiple inputs and outputs and its nature of self-evaluation have been criticized. The cross efficiency method was developed as a DEA extension to rank DMUs with the main idea being to use DEA to do peer evaluation, rather than in pure self-evaluation mode. However, cross efficiency scores obtained from the original DEA model are generally not unique, and depend on which of the alternate optimal solutions to the DEA linear programs is used. The current chapter discusses various cross efficiency approaches in dealing with non-unique solutions from DEA

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Citations
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Journal ArticleDOI

Research fronts in data envelopment analysis

TL;DR: This study applies a network clustering method to group the literature through a citation network established from the DEA literature over the period 2000 to 2014, and presents the research fronts, a coherent topic or issue addressed by a group of research articles in recent years.
Journal ArticleDOI

Geometric mean quantity index numbers with Benefit-of-the-Doubt weights

TL;DR: This work proposes to use the budget shares as naturally generated by the linear Benefit-of-the-Doubt model to provide transitive composite indicator orderings in a multilateral setting.
Journal ArticleDOI

Composite indicators as generalized benefit-of-the-doubt weighted averages

TL;DR: It is argued that the choice for a particular version of the generalized weighted average enables to reflect decision makers’ attitudes in the evaluation of composite indicators to reflect country rankings.
Journal ArticleDOI

A supplier performance evaluation framework using single and bi-objective DEA efficiency modelling approach: individual and cross-efficiency perspective

TL;DR: This research evolves two different supplier efficiency measurement models that unify such criterions possessing characteristics of both desirable and undesirable outputs to enable the decision-makers to achieve peer-to-peer evaluation and maximum discrimination amongst suppliers.
Journal ArticleDOI

A slacks-based measure model for calculating cross efficiency in data envelopment analysis

TL;DR: In this paper, the authors proposed a slacks-based measure to calculate efficiency, which is the same as that of the radial measure using the frontier corresponding to a DMU to measure the efficiency of all DMUs.
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.
Journal ArticleDOI

Data Envelopment Analysis: Critique and Extensions

TL;DR: This paper pointed out serious shortcomings in DEA's treatment of price efficiency, illustrates the dangers of misspecification errors in DEA, and suggests extentions of the basic DEA formulation that address these shortcomings.
Journal ArticleDOI

Efficiency and cross-efficiency in DEA: derivations, meanings and uses

TL;DR: A neglected aspect of Data Envelopment Analysis: cross-efficiency is examined, and an intuitive understanding of cross- efficiency is ground in the concept of peer-appraisal, as opposed to self-appRAisal implied by simple efficiency.
Journal ArticleDOI

Preference voting and project ranking using DEA and cross-evaluation

TL;DR: In this article, the authors proposed a cross-evaluation matrix as the summary of a self- and peer-rating process in which the candidates seek to interpret the voters preferences as favourably for themselves, relative to the other candidates, as possible.
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