Efficiency is the main issue in any data envelopment analysis. Realizing output by a minimum of input or reaching a maximum of output by a given input is the credo, scale effects often are only a sort of accessory. In modern economics scale effects play a prominent role, however. What is the right size of a decision making unit (DMU) and how to proceed there. Returns to scale inform a DMU about its hitherto disregard of scale effects and show the way towards its ideal activity size. Combining efficiency aspects and scaling effects leads to a new DEA-best practice criterion of DMUs and gives them a profound orientation of their current position. This combination turns out to be the relation of weighted outputs to weighted inputs – in optimal prices under variable returns to scale (VRS). It is the VRS-productivity. For DMUs with increasing returns to scale the recommended growth path is in accordance with economic rationales, for decreasing returns to scale the recommended shrinking path uncovers severe flaws in VRS-models and needs adjustment. All theoretical considerations are illustrated by little numerical examples. A real world application of 37 Brazilian banks demonstrates the benefits of the new concept.
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DOI : 10.1051/ro/2022038
Keywords: Data envelopment analysis, variable returns to scale, efficiency, scaling effects, best practice ranking
@article{RO_2022__56_2_795_0,
author = {R\"odder, Wilhelm and Dellnitz, Andreas and Litzinger, Sebastian},
title = {Combining efficiency and scaling effects in activity analysis: towards an improved best practice criterion},
journal = {RAIRO. Operations Research},
pages = {795--812},
year = {2022},
publisher = {EDP-Sciences},
volume = {56},
number = {2},
doi = {10.1051/ro/2022038},
zbl = {1492.90087},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ro/2022038/}
}
TY - JOUR AU - Rödder, Wilhelm AU - Dellnitz, Andreas AU - Litzinger, Sebastian TI - Combining efficiency and scaling effects in activity analysis: towards an improved best practice criterion JO - RAIRO. Operations Research PY - 2022 SP - 795 EP - 812 VL - 56 IS - 2 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/ro/2022038/ DO - 10.1051/ro/2022038 LA - en ID - RO_2022__56_2_795_0 ER -
%0 Journal Article %A Rödder, Wilhelm %A Dellnitz, Andreas %A Litzinger, Sebastian %T Combining efficiency and scaling effects in activity analysis: towards an improved best practice criterion %J RAIRO. Operations Research %D 2022 %P 795-812 %V 56 %N 2 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/ro/2022038/ %R 10.1051/ro/2022038 %G en %F RO_2022__56_2_795_0
Rödder, Wilhelm; Dellnitz, Andreas; Litzinger, Sebastian. Combining efficiency and scaling effects in activity analysis: towards an improved best practice criterion. RAIRO. Operations Research, Tome 56 (2022) no. 2, pp. 795-812. doi: 10.1051/ro/2022038
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