One of interesting subjects in Data Envelopment Analysis (DEA) is estimation of congestion of Decision Making Units (DMUs). Congestion is evidenced when decreases (increases) in some inputs result in increases (decreases) in some outputs without worsening (improving) any other input/output. Most of the existing methods for measuring the congestion of DMUs utilize the traditional definition of congestion and assume that inputs and outputs change with the same proportion. Therefore, the important question that arises is whether congestion will occur or not if the decision maker (DM) increases or decreases the inputs dis-proportionally. This means that, the traditional definition of congestion in DEA may be unable to measure the congestion of units with multiple inputs and outputs. This paper focuses on the directional congestion and proposes methods for recognizing the directional congestion using DEA models. To do this, we consider two different scenarios: (i) just the input direction is available. (ii) none of the input and output directions are available. For each scenario, we propose a method consists in systems of inequalities or linear programming problems for estimation of the directional congestion. The validity of the proposed methods are demonstrated utilizing two numerical examples.
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DOI : 10.1051/ro/2019092
Keywords: Data envelopment analysis (DEA), directional congestion, decision making units
@article{RO_2021__55_S1_S571_0,
author = {Khezri, Somayeh and Dehnokhalaji, Akram and Hosseinzadeh Lotfi, Farhad},
title = {A full investigation of the directional congestion in data envelopment analysis},
journal = {RAIRO. Operations Research},
pages = {S571--S591},
year = {2021},
publisher = {EDP-Sciences},
volume = {55},
doi = {10.1051/ro/2019092},
mrnumber = {4223084},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ro/2019092/}
}
TY - JOUR AU - Khezri, Somayeh AU - Dehnokhalaji, Akram AU - Hosseinzadeh Lotfi, Farhad TI - A full investigation of the directional congestion in data envelopment analysis JO - RAIRO. Operations Research PY - 2021 SP - S571 EP - S591 VL - 55 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/ro/2019092/ DO - 10.1051/ro/2019092 LA - en ID - RO_2021__55_S1_S571_0 ER -
%0 Journal Article %A Khezri, Somayeh %A Dehnokhalaji, Akram %A Hosseinzadeh Lotfi, Farhad %T A full investigation of the directional congestion in data envelopment analysis %J RAIRO. Operations Research %D 2021 %P S571-S591 %V 55 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/ro/2019092/ %R 10.1051/ro/2019092 %G en %F RO_2021__55_S1_S571_0
Khezri, Somayeh; Dehnokhalaji, Akram; Hosseinzadeh Lotfi, Farhad. A full investigation of the directional congestion in data envelopment analysis. RAIRO. Operations Research, Tome 55 (2021), pp. S571-S591. doi: 10.1051/ro/2019092
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