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Title: Optimal weights in DEA models with weight restrictions
Authors: Podinovski, Victor V.
Keywords: Data envelopment analysis
Multiplier model
Weight restrictions
Production trade-offs
Issue Date: 2016
Publisher: © Elsevier
Citation: PODINOVSKI, V.V., 2016. Optimal weights in DEA models with weight restrictions. European Journal of Operational Research, 254 (3), pp. 916-924.
Abstract: According to a conventional interpretation of a multiplier DEA model, its optimal weights show the decision making unit under the assessment, denoted DMUo, in the best light in comparison to all observed DMUs. For multiplier models with additional weight restrictions such an interpretation is known to be generally incorrect (specifically, if weight restrictions are linked or nonhomogeneous), and the meaning of optimal weights in such models has remained unclear. In this paper we prove that, for any weight restrictions, the optimal weights of the multiplier model show DMUo in the best light in comparison to the entire technology expanded by the weight restrictions. This result is consistent with the fact that the dual envelopment DEA model benchmarks DMUo against all DMUs in the technology, and not only against the observed DMUs. Our development overcomes previous concerns about the use of weight restrictions of certain types in DEA models and provides their rigorous and meaningful interpretation.
Description: This paper was accepted for publication in the journal European Journal of Operational Research and the definitive published version is available at http://dx.doi.org/10.1016/j.ejor.2016.04.035
Version: Accepted for publication
DOI: 10.1016/j.ejor.2016.04.035
URI: https://dspace.lboro.ac.uk/2134/21230
Publisher Link: http://dx.doi.org/10.1016/j.ejor.2016.04.035
ISSN: 1872-6860
Appears in Collections:Published Articles (Business)

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