Ranking models in data envelopment analysis

Traditional data envelopment analysis models split decision making units into two basic groups, efficient and inefficient. They are based on solving linear optimization problems and currently they represent very popular tool for efficiency and performance evaluation. Efficiency scores of inefficient...

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Main Author: Josef Jablonský
Format: Article
Language:ces
Published: Vydavatelství ZČU v Plzni 2017-12-01
Series:Trendy v podnikání
Subjects:
Online Access:http://www.fek.zcu.cz/tvp/doc/akt/4-2016-clanek-5.pdf
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author Josef Jablonský
author_facet Josef Jablonský
author_sort Josef Jablonský
collection DOAJ
description Traditional data envelopment analysis models split decision making units into two basic groups, efficient and inefficient. They are based on solving linear optimization problems and currently they represent very popular tool for efficiency and performance evaluation. Efficiency scores of inefficient units allows their ranking but efficient units cannot be ranked directly because of their maximum efficiency score. The paper presents the most popular ranking models (Andersen and Petersen model, Tone’s SBM model and cross efficiency evaluation) and discusses their advantages and drawbacks. All presented models are illustrated on an example with academic background - evaluation of academic departments that consumes several resources (academic staff and sum of salaries) and produces outputs as direct or indirect teaching, research outputs, etc. Computational aspects of all presented models are discussed.
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spelling doaj.art-d8533d4261074167817ded2e9c3934f62023-08-02T07:41:02ZcesVydavatelství ZČU v PlzniTrendy v podnikání1805-06032017-12-01643642Ranking models in data envelopment analysisJosef Jablonský Traditional data envelopment analysis models split decision making units into two basic groups, efficient and inefficient. They are based on solving linear optimization problems and currently they represent very popular tool for efficiency and performance evaluation. Efficiency scores of inefficient units allows their ranking but efficient units cannot be ranked directly because of their maximum efficiency score. The paper presents the most popular ranking models (Andersen and Petersen model, Tone’s SBM model and cross efficiency evaluation) and discusses their advantages and drawbacks. All presented models are illustrated on an example with academic background - evaluation of academic departments that consumes several resources (academic staff and sum of salaries) and produces outputs as direct or indirect teaching, research outputs, etc. Computational aspects of all presented models are discussed.http://www.fek.zcu.cz/tvp/doc/akt/4-2016-clanek-5.pdfData envelopment analysisefficiencysuper-efficiencyranking
spellingShingle Josef Jablonský
Ranking models in data envelopment analysis
Trendy v podnikání
Data envelopment analysis
efficiency
super-efficiency
ranking
title Ranking models in data envelopment analysis
title_full Ranking models in data envelopment analysis
title_fullStr Ranking models in data envelopment analysis
title_full_unstemmed Ranking models in data envelopment analysis
title_short Ranking models in data envelopment analysis
title_sort ranking models in data envelopment analysis
topic Data envelopment analysis
efficiency
super-efficiency
ranking
url http://www.fek.zcu.cz/tvp/doc/akt/4-2016-clanek-5.pdf
work_keys_str_mv AT josefjablonsky rankingmodelsindataenvelopmentanalysis