The Fixed Weighting Nature of A Cross-Evaluation Model

Authors: Anderson T.R.¹; Hollingsworth K.²; Inman L.³

Source: Journal of Productivity Analysis, Volume 17, Number 3, May 2002 , pp. 249-255(7)

Publisher: Springer

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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.

Keywords: data envelopment analysis; cross-efficiency

Language: English

Document Type: Regular paper

Affiliations: 1: Engineering and Technology Management Department, Portland State University, Portland, OR 97207-0751 tima@etm.pdx.edu http://www.etm.pdx.edu 2: Division of Economics and Business Administration, Morehouse College, 830 Westview Drive, SW, Atlanta, GA 30314, USA khollingsworth@morehouse.edu 3: Engineering and Technology Management Department, Portland State University, Portland, OR 97207-0751 lanei@etm.pdx.edu http://www.etm.pdx.edu

Publication date: 2002-05-01