TY - JOUR
T1 - In the determination of the most efficient decision making unit in data envelopment analysis
T2 - A comment
AU - Salahi, Maziar
AU - Toloo, Mehdi
N1 - Funding Information:
The first author's research was supported by University of Guilan. The research of the second author was supported by the European Social Fund within the project CZ.1.07/2.3.00/20.0296 as well as the Czech Science Foundation through project No. 16-17810S. All supports is acknowledged.
Publisher Copyright:
© 2016 Elsevier Ltd
PY - 2017/2/1
Y1 - 2017/2/1
N2 - In order to deal with finding the most efficient unit problem, Lam (2015) recently built a new integrated mixed integer linear programming model which is nearly close to the super-efficiency model. The suggested model involves a non-Archimedean epsilon as the lower bound for the input and output weights. Selecting a suitable value for epsilon is a challenging issue in DEA (Data Envelopment Analysis). Lam (2015) suggested a value for epsilon which guarantees the feasibility of his model; however, this paper illustrates that the model may fail to find the most efficient unit due to unsuitable selected value for epsilon. To cope with this issue, a new model is formulated which provides the maximum epsilon value for the model of Lam (2015). The built model guarantees that when epsilon is maximum, then Lam's model gives exactly one DMU (Decision Making Unit) as the most efficient unit with the maximum discrimination distance from the other DMUs.
AB - In order to deal with finding the most efficient unit problem, Lam (2015) recently built a new integrated mixed integer linear programming model which is nearly close to the super-efficiency model. The suggested model involves a non-Archimedean epsilon as the lower bound for the input and output weights. Selecting a suitable value for epsilon is a challenging issue in DEA (Data Envelopment Analysis). Lam (2015) suggested a value for epsilon which guarantees the feasibility of his model; however, this paper illustrates that the model may fail to find the most efficient unit due to unsuitable selected value for epsilon. To cope with this issue, a new model is formulated which provides the maximum epsilon value for the model of Lam (2015). The built model guarantees that when epsilon is maximum, then Lam's model gives exactly one DMU (Decision Making Unit) as the most efficient unit with the maximum discrimination distance from the other DMUs.
KW - Data envelopment analysis
KW - Mixed integer linear programming model
KW - Most efficient DMU
KW - Non-Archimedean epsilon
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U2 - 10.1016/j.cie.2016.12.032
DO - 10.1016/j.cie.2016.12.032
M3 - Article
AN - SCOPUS:85008426449
SN - 0360-8352
VL - 104
SP - 216
EP - 218
JO - Computers and Industrial Engineering
JF - Computers and Industrial Engineering
ER -