TY - JOUR

T1 - Robustness of efficiency scores in data envelopment analysis with interval scale data

AU - Nasrabadi, Nasim

AU - Dehnokhalaji, Akram

AU - Korhonen, Pekka

AU - Lokman, Banu

AU - Wallenius, Jyrki

N1 - Funding Information:
We wish to thank the reviewers for useful suggestions and comments, which greatly improved our paper.
Publisher Copyright:
© 2021 The Authors

PY - 2022/3/16

Y1 - 2022/3/16

N2 - Our paper focuses on a robustness analysis of efficiency scores in the context of Data Envelopment Analysis (DEA) assuming interval scale data, as defined in A. Dehnokhalaji, P. J. Korhonen, M. Köksalan, N. Nasrabadi and J. Wallenius, “Efficiency Analysis to incorporate interval scale data”, European Journal of Operational Research 207 (2), 2010, pp. 1116–1121. We first show that the definition of the efficiency score used in our paper is a well-defined measure according to Aparicio and Pastor (J. Aparicio and J. T. Pastor, “A well-defined efficiency measure for dealing with closest targets in DEA”, Applied Mathematics and Computation 219 (17), 2013, pp. 9142–9154.). Next, we characterize how robust the efficiency scores are with respect to improvements and deteriorations of inputs and outputs. We illustrate our analysis with two examples: a simple numerical example and a more complex example using real-world data.

AB - Our paper focuses on a robustness analysis of efficiency scores in the context of Data Envelopment Analysis (DEA) assuming interval scale data, as defined in A. Dehnokhalaji, P. J. Korhonen, M. Köksalan, N. Nasrabadi and J. Wallenius, “Efficiency Analysis to incorporate interval scale data”, European Journal of Operational Research 207 (2), 2010, pp. 1116–1121. We first show that the definition of the efficiency score used in our paper is a well-defined measure according to Aparicio and Pastor (J. Aparicio and J. T. Pastor, “A well-defined efficiency measure for dealing with closest targets in DEA”, Applied Mathematics and Computation 219 (17), 2013, pp. 9142–9154.). Next, we characterize how robust the efficiency scores are with respect to improvements and deteriorations of inputs and outputs. We illustrate our analysis with two examples: a simple numerical example and a more complex example using real-world data.

KW - DEA

KW - Efficiency measure

KW - Interval scale data

KW - Robustness and sensitivity analysis

KW - Stability

UR - http://www.scopus.com/inward/record.url?scp=85111046448&partnerID=8YFLogxK

U2 - 10.1016/j.ejor.2021.06.049

DO - 10.1016/j.ejor.2021.06.049

M3 - Article

AN - SCOPUS:85111046448

VL - 297

SP - 1151

EP - 1161

JO - European Journal of Operational Research

JF - European Journal of Operational Research

SN - 0377-2217

ER -