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Corrigendum to “Super efficiencies or super inefficiencies? Insights from a joint computation model for slacks-based measures in DEA” [Eur. J. Oper. Res. 226 (2013) 258–267]
European Journal of Operational Research 234 (2014) 921
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European Journal of Operational Research journal homepage: www.elsevier.com/locate/ejor
Corrigendum
Corrigendum to ‘‘Super efficiencies or super inefficiencies? Insights from a joint computation model for slacks-based measures in DEA’’ [Eur. J. Oper. Res. 226 (2013) 258–267] Chien-Ming Chen ⇑ Nanyang Business School, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798, Singapore
It is with sincere regret that the following errors occurred. In Section 2.1, the objective function of (1) should read as Pm 1 1m s =x Psi¼1 þi ki . Similarly, Eq. (6) on p. 261 in the same min qk ¼ 1 1þ s s =ykr r¼1 r Pm 1 1 s =xki section should read as qk ¼ 1mPsi¼1 þi . 1þ s
s r¼1 r
=ykr
On p. 260, the last sentence of the second from the last paragraph should read as ‘‘. . .so for DMU E, its optimal choice is to move to the right of E’’. In the third paragraph of Section 4 on p. 265, the first sentence should read as ‘‘. . .and that J-SBM can be used to uncover a region in the input–output space, where a super-inefficient
DOI of original article: http://dx.doi.org/10.1016/j.ejor.2012.10.031
⇑ Tel.: +65 67906248; fax: +65 67922313. E-mail address: [email protected]
0377-2217/$ - see front matter Ó 2013 Elsevier B.V. All rights reserved. http://dx.doi.org/10.1016/j.ejor.2013.12.001
DMU would appear S-SBM super-efficient because the S-SBM model cannot account for the slacks associated with weak efficiency.’’ Finally, Theorem 6 states that the J-SBM model is continuous in the input-output space. The result may not hold true when the reference point (i.e., Eq. (11) on p. 263) changes to another frontier point under the variation of inputs and/or outputs, but this issue can be easily corrected by constraining the reference point to be fixated on a specific strongly Pareto-efficient point. The author would like to apologise for any inconvenience caused.
Contents lists available at ScienceDirect
European Journal of Operational Research journal homepage: www.elsevier.com/locate/ejor
Corrigendum
Corrigendum to ‘‘Super efficiencies or super inefficiencies? Insights from a joint computation model for slacks-based measures in DEA’’ [Eur. J. Oper. Res. 226 (2013) 258–267] Chien-Ming Chen ⇑ Nanyang Business School, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798, Singapore
It is with sincere regret that the following errors occurred. In Section 2.1, the objective function of (1) should read as Pm 1 1m s =x Psi¼1 þi ki . Similarly, Eq. (6) on p. 261 in the same min qk ¼ 1 1þ s s =ykr r¼1 r Pm 1 1 s =xki section should read as qk ¼ 1mPsi¼1 þi . 1þ s
s r¼1 r
=ykr
On p. 260, the last sentence of the second from the last paragraph should read as ‘‘. . .so for DMU E, its optimal choice is to move to the right of E’’. In the third paragraph of Section 4 on p. 265, the first sentence should read as ‘‘. . .and that J-SBM can be used to uncover a region in the input–output space, where a super-inefficient
DOI of original article: http://dx.doi.org/10.1016/j.ejor.2012.10.031
⇑ Tel.: +65 67906248; fax: +65 67922313. E-mail address: [email protected]
0377-2217/$ - see front matter Ó 2013 Elsevier B.V. All rights reserved. http://dx.doi.org/10.1016/j.ejor.2013.12.001
DMU would appear S-SBM super-efficient because the S-SBM model cannot account for the slacks associated with weak efficiency.’’ Finally, Theorem 6 states that the J-SBM model is continuous in the input-output space. The result may not hold true when the reference point (i.e., Eq. (11) on p. 263) changes to another frontier point under the variation of inputs and/or outputs, but this issue can be easily corrected by constraining the reference point to be fixated on a specific strongly Pareto-efficient point. The author would like to apologise for any inconvenience caused.