Premium
DEA nonradial efficiency based on vector properties
Author(s) -
Gomes Júnior Silvio Figueiredo,
Soares de Mello João Carlos Correia Baptista,
Meza Lidia Angulo
Publication year - 2013
Publication title -
international transactions in operational research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.032
H-Index - 52
eISSN - 1475-3995
pISSN - 0969-6016
DOI - 10.1111/itor.12000
Subject(s) - data envelopment analysis , decision maker , computer science , preference , efficient frontier , work (physics) , index (typography) , mathematical optimization , efficiency , econometrics , mathematics , statistics , economics , operations research , engineering , mechanical engineering , portfolio , estimator , world wide web , financial economics
Abstract 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.