DEA nonradial efficiency based on vector properties

Classic data envelopment analysis (DEA) models determine the efficiency of productive units, called decision making units (DMUs). DEA uses as its methodology the equiproportional reduction of inputs or increase of outputs and the finding of a single target for each DMU. This target does not incorpor...

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Bibliographic Details
Published in:International transactions in operational research 2013-05, Vol.20 (3), p.341-364
Main Authors: Gomes Júnior, Silvio Figueiredo, Soares de Mello, João Carlos Correia Baptista, Meza, Lidia Angulo
Format: Article
Language:English
Subjects:
alternative targets
Computational efficiency
Computing time
Data envelopment analysis
Decision making
Decision making units
Efficiency
Mathematical analysis
Mathematical models
nonradial projection
Operations research
Projection
Studies
vectorial efficiency
Vectors (mathematics)
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Summary:Classic data envelopment analysis (DEA) models determine the efficiency of productive units, called decision making units (DMUs). DEA uses as its methodology the equiproportional reduction of inputs or increase of outputs and the finding of a single target for each DMU. This target does not incorporate the preference of the decision maker. Later works propose obtaining alternative targets based on nonradial projections on the efficiency frontier that are obtained through nonproportional variations of inputs or outputs. However, the efficiencies are not calculated for these alternative targets. This impedes a comparison among the DMUs. Thus, diverse nonradial efficiency indexes have been proposed based on mathematical averages or weighted averages that do not consider the vectorial characteristics of the efficiency. In this work, we present a nonradial efficiency index based on the initial concept of efficiency associated with each alternative (nonradial) target obtained through a multiobjective model of an inefficient DMU.
ISSN:0969-6016
1475-3995
DOI:10.1111/itor.12000