Most data envelopment analysis (DEA) studies on scale elasticity (SE) and returns to scale (RTS) of efficient units arise from the traditional definitions of them in economics, which is based on measuring radial changes in outputs caused by the simultaneous change in all inputs. In actual multiple inputs/outputs activities, the goals of expanding inputs are not only to obtain increases in outputs, but also to expect the proportions of such increases consistent with the management preference of decision-makers. However, the management preference is usually not radial changes in outputs. With the latter goal into consideration, this paper proposes the directional SE and RTS in a general formula for multi-output activities, and offers a DEA-based model for the formula of directional SE at any point on the DEA frontier, which is straightforward and requires no simplifying assumptions. Finally, the empirical part employs the data of 16 basic research institutions in Chinese Academy of Sciences (CAS) to illustrate the superiority of the proposed theories and methods.
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DOI : 10.1051/ro/2021131
Keywords: Data envelopment analysis, returns to scale, management preference, directional scale elasticity
@article{RO_2021__55_5_2861_0,
author = {Ren, Tiantian and Zhou, Zhongbao and Li, Ruiyang and Liu, Wenbin},
title = {Directional scale elasticity considering the management preference of decision-makers},
journal = {RAIRO. Operations Research},
pages = {2861--2881},
year = {2021},
publisher = {EDP-Sciences},
volume = {55},
number = {5},
doi = {10.1051/ro/2021131},
mrnumber = {4318745},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ro/2021131/}
}
TY - JOUR AU - Ren, Tiantian AU - Zhou, Zhongbao AU - Li, Ruiyang AU - Liu, Wenbin TI - Directional scale elasticity considering the management preference of decision-makers JO - RAIRO. Operations Research PY - 2021 SP - 2861 EP - 2881 VL - 55 IS - 5 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/ro/2021131/ DO - 10.1051/ro/2021131 LA - en ID - RO_2021__55_5_2861_0 ER -
%0 Journal Article %A Ren, Tiantian %A Zhou, Zhongbao %A Li, Ruiyang %A Liu, Wenbin %T Directional scale elasticity considering the management preference of decision-makers %J RAIRO. Operations Research %D 2021 %P 2861-2881 %V 55 %N 5 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/ro/2021131/ %R 10.1051/ro/2021131 %G en %F RO_2021__55_5_2861_0
Ren, Tiantian; Zhou, Zhongbao; Li, Ruiyang; Liu, Wenbin. Directional scale elasticity considering the management preference of decision-makers. RAIRO. Operations Research, Tome 55 (2021) no. 5, pp. 2861-2881. doi: 10.1051/ro/2021131
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