DEA on relaxed convexity assumptions

DEA on relaxed convexity assumptions

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Article ID: iaor1997762
Country: United States
Volume: 42
Issue: 3
Start Page Number: 457
End Page Number: 465
Publication Date: Mar 1996
Journal: Management Science
Authors:
Keywords: programming: mathematical
Abstract:

In a recent paper, Petersen proposed to relax the convexity assumptions invoked in traditional Data Envelopment Analysis (DEA). Unfortunately, the new approach is not consistent with the relaxed assumptions. Also, the efficiency evaluations in input and output spaces are based on different technological assumptions. The aim of this paper is to clarify which assumptions are actually involved and to develop modifications such that the input and output based measures are consistent. In effect, a family of DEA methods based on relaxed convexity assumptions is identified.

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