Alternative secondary goals in DEA cross-efficiency evaluation

As an extension to data envelopment analysis (DEA), cross-efficiency evaluation not only provides a ranking among the decision-making units (DMUs) but also eliminates unrealistic DEA weighting schemes without requiring a priori information on weight restrictions. A factor that possibly reduces the u...

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Bibliographic Details
Published inInternational journal of production economics Vol. 113; no. 2; pp. 1025 - 1030
Main Authors Liang, Liang, Wu, Jie, Cook, Wade D., Zhu, Joe
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 01.06.2008
Elsevier
Elsevier Sequoia S.A
SeriesInternational Journal of Production Economics
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Summary:As an extension to data envelopment analysis (DEA), cross-efficiency evaluation not only provides a ranking among the decision-making units (DMUs) but also eliminates unrealistic DEA weighting schemes without requiring a priori information on weight restrictions. A factor that possibly reduces the usefulness of the cross-efficiency evaluation method is that the cross-efficiency scores may not be unique due to the presence of alternate optima. As a result, it is recommended that secondary goals be introduced in cross-efficiency evaluation. This paper seeks to extend the model of Doyle and Green [1994. Efficiency and cross efficiency in DEA: Derivations, meanings and the uses. Journal of the Operational Research Society 45 (5), 567–578], by introducing a number of different secondary objective functions. The models are illustrated with examples.
ISSN:0925-5273
1873-7579
DOI:10.1016/j.ijpe.2007.12.006