Journal article
A note on imposing strong complementary slackness conditions in DEA
Times Cited: 9


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EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
Publication Details
Author list: Krivonozhko VE, Forsund FR, Lychev AV
Publisher: Elsevier
Publication year: 2012
Volume number: 220
Issue number: 3
Start page: 716
End page: 721
Number of pages: 6
ISSN: 0377-2217
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Abstract
A new DEA model has been introduced recently combining the primal and the dual models in order to impose strong complementary slackness conditions. It was claimed that a reference set that contains the maximum number of efficient units can then be determined. The model is very interesting as a theoretical idea. However, not only does the computational burden increase significantly, but it seems also that the basic matrices may be inherently ill-conditioned, leading to erroneous results. Numerical experiments have been carried out on two real datasets of medium size with 163 and 920 units. These experiments, using well known reliable software, show pervasive existence of ill-conditioned matrices leading to obviously wrong estimates of efficiency scores, and units declared as efficient reference units while actually being inefficient. (C) 2012 Elsevier B.V. All rights reserved.

Keywords
BCC model, Data envelopment analysis, DEA/SCSC model, Strong complementary slackness conditions

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Last updated on 2019-17-09 at 00:00