Abstract
Cross-evaluation has been touted as a powerful extension of Data Envelopment Analysis that provides, not only a unique ordering among the Decision Making Units (DMUs), but also eliminates unrealistic weighting schemes without requiring the elicitation of weight restrictions from application area experts. The goal of this paper is to prove, in the single-input, multiple-output case, cross-evaluation implicitly uses a single fixed set of weights. We demonstrate how this unseen fixed set of weights may still be unrealistic.
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Baker, R. C. and S. Talluri. (1997). “A Closer Look at the Use of Data Envelopment Analysis for Technology Selection.” Computers & Industrial Engineering 32(1), 101-108.
Charnes, A., W. W. Cooper and E. Rhodes. (1978). “Measuring the Efficiency of Decision Making Units.” European Journal of Operational Research 2(6), 429-444.
Cook, W. D., J. Doyle, R. Green and M. Kress. (1996). “Ranking Players in Multiple Tournaments.” Computers & Operations Research 23(9), 869-880.
Doyle, J. and R. Green. (1994). “Efficiency and Cross-Efficiency in DEA: Derivations, Meanings and Uses.” Journal of the Operational Research Society 45(5), 567-578.
Doyle, J. R. (1995). “Multiattribute Choice for the Lazy Decision Maker: Let the Alternatives Decide!” Organizational Behavior & Human Decision Processes 62(1), 87-100.
Doyle, J. R. and R. H. Green. (1995). “Cross-Evaluation in DEA: Improving Discrimination among DMUs.” INFOR 33(3), 205-222.
Green, R. and J. Doyle. (1995). “On Maximizing Discrimination in Multiple Criteria Decision Making.” Journal of the Operational Research Society 46, 192-204.
Green, R. H., J. R. Doyle and W. D. Cook. (1996). “Preference Voting and Project Ranking Using DEA and Cross-Evaluation.” European Journal of Operational Research 90(3), 461-472.
Oral, M., O. Kettani and P. Lang. (1991). “A Methodology for Collective Evaluation and Selection of Industrial R&D Projects.” Management Science 37(7), 871-885.
Sexton, T. R., R. H. Silkman and A. Hogan. (1986). “Data Envelopment Analysis: Critique and Extensions.” In R. H. Silkman (ed.), Measuring Efficiency: An Assessment of Data Envelopment Analysis. San Francisco: American Evaluation Association, Jossey Bass, Inc. 32.
Talluri, S. and J. Sarkis. (1997). “Extensions in Efficiency Measurement of Alternate Machine Component Grouping Solutions via Data Envelopment Analysis.” IEEE Transactions on Engineering Management 44(4), 299-304.
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Anderson, T.R., Hollingsworth, K. & Inman, L. The Fixed Weighting Nature of A Cross-Evaluation Model. Journal of Productivity Analysis 17, 249–255 (2002). https://doi.org/10.1023/A:1015012121760
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DOI: https://doi.org/10.1023/A:1015012121760