Chen (2013) extended the exiting SBM approaches and developed a joint model (J-SBM) that can (1) simultaneously compute SBM scores for inefficient DMUs and super-efficiency for efficient DMUs, (2) guarantee the reference points generated by the J-SBM are Pareto-efficient, and (3) the J-SBM scores of a DMU are continuous in the input and output space. In this note, we provide a counter example which shows that the reference point generated by the J-SBM might not be Paretoefficient, and the current study has also revised the model (8) proposed by Chen (2013).
Lin, Der-Long; Chyr, Wen-Li; Gan, Guo-Ya; and Lee, Hsuan-Shih
"SUPER-EFFICIENT OR SUPER-INEFFICIENT? INSIGHTS FROM A JOINT COMPUTATION MODEL FOR SLACKS-BASED MEASURE IN DEA: A NOTE,"
Journal of Marine Science and Technology: Vol. 26:
2, Article 3.
Available at: https://jmstt.ntou.edu.tw/journal/vol26/iss2/3