Two-stage network data envelopment analysis (DEA) is widely used to evaluate efficiency of different organizations with multiple operations processes or hierarchical structures. Although existing two-stage network DEA assumes two-stage systems resolve the inherent conflicts between two stages, the coordination effect between the two stages is usually ignored. Recently, the relation of two-stage network DEA to traditional “black box” DEA has been studied from the perspective of system coordination. A coordination efficiency was defined and measured by a DEA-based approach based on simple two-stage network systems. In this paper, we propose an extended DEA-based approach for measuring the coordination efficiency for general two-stage network systems. The paper shows that the coordination efficiency based on the multiplier DEA and envelopment DEA approaches is equivalent to each other under both constant returns to scale (CRS) and variable returns to scale (VRS) assumptions. The proposed approach is verified via two numerical examples finally.
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DOI : 10.1051/ro/2022180
Keywords: Data envelopment analysis (DEA), general two-stage network system, coordination efficiency, multiplier DEA model, envelopment DEA model
@article{RO_2022__56_6_3801_0,
author = {Zhao, Tianyi and Xie, Jianhui and Chen, Ya and Liang, Liang},
title = {Coordination efficiency for general two-stage network system},
journal = {RAIRO. Operations Research},
pages = {3801--3815},
year = {2022},
publisher = {EDP-Sciences},
volume = {56},
number = {6},
doi = {10.1051/ro/2022180},
mrnumber = {4504415},
zbl = {1536.90120},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ro/2022180/}
}
TY - JOUR AU - Zhao, Tianyi AU - Xie, Jianhui AU - Chen, Ya AU - Liang, Liang TI - Coordination efficiency for general two-stage network system JO - RAIRO. Operations Research PY - 2022 SP - 3801 EP - 3815 VL - 56 IS - 6 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/ro/2022180/ DO - 10.1051/ro/2022180 LA - en ID - RO_2022__56_6_3801_0 ER -
%0 Journal Article %A Zhao, Tianyi %A Xie, Jianhui %A Chen, Ya %A Liang, Liang %T Coordination efficiency for general two-stage network system %J RAIRO. Operations Research %D 2022 %P 3801-3815 %V 56 %N 6 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/ro/2022180/ %R 10.1051/ro/2022180 %G en %F RO_2022__56_6_3801_0
Zhao, Tianyi; Xie, Jianhui; Chen, Ya; Liang, Liang. Coordination efficiency for general two-stage network system. RAIRO. Operations Research, Tome 56 (2022) no. 6, pp. 3801-3815. doi: 10.1051/ro/2022180
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