Modely analýzy obalu dat s fixním součtem výstupů

Traditional data envelopment analysis (DEA) models do not consider any relations with respect to the sum of values of outputs. In many real applications, the sum of outputs is predetermined and cannot be changed. In this paper, main models considering fixed-sum outputs are formulated and discussed t...

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Main Author: Josef Jablonský
Format: Article
Language:ces
Published: Vydavatelství ZČU v Plzni 2022-12-01
Series:Trendy v podnikání
Subjects:
Online Access:https://drive.google.com/file/d/1rvVl2lf7B_qxeIIahUofniYUPrppi-kS/view
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author Josef Jablonský
author_facet Josef Jablonský
author_sort Josef Jablonský
collection DOAJ
description Traditional data envelopment analysis (DEA) models do not consider any relations with respect to the sum of values of outputs. In many real applications, the sum of outputs is predetermined and cannot be changed. In this paper, main models considering fixed-sum outputs are formulated and discussed their properties. They usually proceed in two steps. The first step consists in deriving a new efficient frontier, usually called equilibrium efficient frontier. This frontier is computed in such a way that the values offixed-sum outputs for all units are modified to reach maximum efficiency of all units. In the second step, the efficiency score of the original units is derived with respect to the new frontier. This characteristic allows complete ranking of the units. The results of the model are illustrated on the evaluation of efficiency ofcountries attending Winter Olympic Games 2022. They are compared with traditional DEA models.
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spelling doaj.art-d0e4c0040c384234aacc25e6cd713c232023-06-18T15:25:09ZcesVydavatelství ZČU v PlzniTrendy v podnikání2788-00792022-12-011223542https://doi.org/10.24132/jbt.2022.12.2.35_42Modely analýzy obalu dat s fixním součtem výstupůJosef Jablonskýhttps://orcid.org/0000-0003-0606-354XTraditional data envelopment analysis (DEA) models do not consider any relations with respect to the sum of values of outputs. In many real applications, the sum of outputs is predetermined and cannot be changed. In this paper, main models considering fixed-sum outputs are formulated and discussed their properties. They usually proceed in two steps. The first step consists in deriving a new efficient frontier, usually called equilibrium efficient frontier. This frontier is computed in such a way that the values offixed-sum outputs for all units are modified to reach maximum efficiency of all units. In the second step, the efficiency score of the original units is derived with respect to the new frontier. This characteristic allows complete ranking of the units. The results of the model are illustrated on the evaluation of efficiency ofcountries attending Winter Olympic Games 2022. They are compared with traditional DEA models. https://drive.google.com/file/d/1rvVl2lf7B_qxeIIahUofniYUPrppi-kS/viewdata envelopment analysisfixed-sum outputsrankingefficiency
spellingShingle Josef Jablonský
Modely analýzy obalu dat s fixním součtem výstupů
Trendy v podnikání
data envelopment analysis
fixed-sum outputs
ranking
efficiency
title Modely analýzy obalu dat s fixním součtem výstupů
title_full Modely analýzy obalu dat s fixním součtem výstupů
title_fullStr Modely analýzy obalu dat s fixním součtem výstupů
title_full_unstemmed Modely analýzy obalu dat s fixním součtem výstupů
title_short Modely analýzy obalu dat s fixním součtem výstupů
title_sort modely analyzy obalu dat s fixnim souctem vystupu
topic data envelopment analysis
fixed-sum outputs
ranking
efficiency
url https://drive.google.com/file/d/1rvVl2lf7B_qxeIIahUofniYUPrppi-kS/view
work_keys_str_mv AT josefjablonsky modelyanalyzyobaludatsfixnimsouctemvystupu