The maximum and minimum number of efficient units in data envelopment analysis with interval data

The maximum and minimum number of efficient units in data envelopment analysis with interval data

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Article ID: iaor2007487
Country: Netherlands
Volume: 163
Issue: 2
Start Page Number: 919
End Page Number: 930
Publication Date: Apr 2005
Journal: Applied Mathematics and Computation
Authors: ,
Abstract:

In original data envelopment analysis (DEA) models, inputs and outputs are measured by exact values on a ratio scale. Cooper et al. recently addressed the problem of imprecise data in DEA, in its general form. In this case, units do not have constant efficiency score and their efficiency score depends on the choice of data of units. Therefore, it is attractive to know upper and lower bounds for the number of efficient units. In this paper, we concentrate on DEA with interval data and describe which data settings of units produce the maximum number of efficient units, then we discuss about the minimum number of efficient units.

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