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Mathematical Problems in Engineering
Volume 2017 (2017), Article ID 1619798, 13 pages
Research Article

A Revised Model of the Neutral DEA Model and Its Extension

School of Management, Northwestern Polytechnical University, Xi’an 710072, China

Correspondence should be addressed to Li-Fang Wang

Received 11 February 2017; Accepted 30 March 2017; Published 13 June 2017

Academic Editor: Vladimir Turetsky

Copyright © 2017 Peng Liu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The neutral data envelopment analysis (DEA) model is an alternative way to determine the weights in DEA cross-efficiency evaluation, while avoiding the difficulty in making a choice between the aggressive and benevolent formulations. However, the weights determined by the neutral model merely make the efficiency of part output bigger than other sets of weights. The neutral model is not able to make the efficiency of each output of the DMU biggest among the favorable weights. This neutral model is not purely “neutral” and not most favorable to the DMU. We proposed a revised model for the neutral model. Based on the idea that the DMU should choose a set of weights to maximize its own efficiency, this paper proposes a new cross-efficiency model. The weights determined by the two models are neutral, neither aggressive nor benevolent.