A Geometrical Approach for Generalizing the Production Possibility Set in DEA

Consider a Data Envelopment Analysis (DEA) study with n Decision Making Units (DMUs) and a model with m inputs plus outputs. The data for this study are a point set, {a¹, ..., $a^n $ ], in $R^m $ . A DMU is efficient if its data point is located on the efficient frontier portion of the boundary of a...

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Bibliographische Detailangaben
Veröffentlicht in:	The Journal of the Operational Research Society. - Taylor & Francis, Ltd.. - 60(2009), 11, Seite 1546-1555
1. Verfasser:	Dulá, J. H. (VerfasserIn)
Format:	Online-Aufsatz
Sprache:	English
Veröffentlicht:	2009
Zugriff auf das übergeordnete Werk:	The Journal of the Operational Research Society
Schlagworte:	Data Envelopment Analysis convex analysis polyhedral set theory Business Information science Behavioral sciences Mathematics Philosophy Applied sciences


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100	1		\|a Dulá, J. H. \|e verfasserin \|4 aut
245	1	2	\|a A Geometrical Approach for Generalizing the Production Possibility Set in DEA
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520			\|a Consider a Data Envelopment Analysis (DEA) study with n Decision Making Units (DMUs) and a model with m inputs plus outputs. The data for this study are a point set, {a¹, ..., $a^n $ ], in $R^m $ . A DMU is efficient if its data point is located on the efficient frontier portion of the boundary of an empirical production possibility set, a polyhedral envelopment hull described by the data. From this perspective, DEA efficiency is a purely geometric concept that can be applied to general point sets to identify records with extreme properties. The generalized approach permits new applications for nonparametric frontiers. Examples of such applications are fraud detection, auditing, security, and appraisals. We extend the concept of DEA efficiency to frontier outliers in general envelopment hulls.
540			\|a Copyright 2009 Operational Research Society Ltd
650		4	\|a Data Envelopment Analysis
650		4	\|a convex analysis
650		4	\|a polyhedral set theory
650		4	\|a Business \|x Business economics \|x Commercial production \|x Production management \|x Production possibilities
650		4	\|a Information science \|x Data products \|x Datasets
650		4	\|a Business \|x Business economics \|x Commercial production \|x Production factors \|x Production efficiency
650		4	\|a Behavioral sciences \|x Psychology \|x Cognitive psychology \|x Decision theory \|x Operations research
650		4	\|a Mathematics \|x Pure mathematics \|x Geometry \|x Geometric shapes \|x Polytopes \|x Polyhedrons
650		4	\|a Philosophy \|x Applied philosophy \|x Philosophy of mathematics \|x Mathematical concepts
650		4	\|a Mathematics \|x Pure mathematics \|x Geometry \|x Non Euclidean geometry \|x Hyperplanes
650		4	\|a Mathematics \|x Applied mathematics \|x Statistics \|x Applied statistics \|x Descriptive statistics \|x Statistical distributions \|x Outliers
650		4	\|a Mathematics \|x Pure mathematics \|x Linear algebra \|x Vector analysis \|x Mathematical vectors
650		4	\|a Applied sciences \|x Research methods \|x Modeling
650		4	\|a Business \|x Business economics \|x Commercial production \|x Production management \|x Production possibilities
650		4	\|a Information science \|x Data products \|x Datasets
650		4	\|a Business \|x Business economics \|x Commercial production \|x Production factors \|x Production efficiency
650		4	\|a Behavioral sciences \|x Psychology \|x Cognitive psychology \|x Decision theory \|x Operations research
650		4	\|a Mathematics \|x Pure mathematics \|x Geometry \|x Geometric shapes \|x Polytopes \|x Polyhedrons
650		4	\|a Philosophy \|x Applied philosophy \|x Philosophy of mathematics \|x Mathematical concepts
650		4	\|a Mathematics \|x Pure mathematics \|x Geometry \|x Non Euclidean geometry \|x Hyperplanes
650		4	\|a Mathematics \|x Applied mathematics \|x Statistics \|x Applied statistics \|x Descriptive statistics \|x Statistical distributions \|x Outliers
650		4	\|a Mathematics \|x Pure mathematics \|x Linear algebra \|x Vector analysis \|x Mathematical vectors
650		4	\|a Applied sciences \|x Research methods \|x Modeling
655		4	\|a research-article
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773	1	8	\|g volume:60 \|g year:2009 \|g number:11 \|g pages:1546-1555
856	4	0	\|u https://www.jstor.org/stable/40295717 \|3 Volltext
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