Strict vs. weak ordinal relations for multipliers in Data Envelopment Analysis

Strict vs. weak ordinal relations for multipliers in Data Envelopment Analysis

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Article ID: iaor199285
Country: United States
Volume: 37
Issue: 6
Start Page Number: 733
End Page Number: 738
Publication Date: Jun 1991
Journal: Management Science
Authors: , ,
Keywords: programming: fractional, statistics: data envelopment analysis
Abstract:

In a recent paper, Golany proposes an interesting extension of Data Envelopment Analysis to the situation where ordinal relations among weights corresponding to certain dimensions exist. However, the development of the extended model contains mathematical errors and the proposed equivalence is incorrect. The authors establish the correct model equivalence and prove that weak ordinal relations require a nonstandard DEA model. They also show that the case of strict ordinal relations can be handled with the standard DEA model. These results hold for the CCR, BCC, additive, and multiplicative models and for relations involving both input and output multipliers.

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