Linear programming solutions and distance functions under a constant returns to scale technology

Linear programming solutions and distance functions under a constant returns to scale technology

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Article ID: iaor200940042
Country: United Kingdom
Volume: 60
Issue: 1
Start Page Number: 72
End Page Number: 78
Publication Date: Jan 2009
Journal: Journal of the Operational Research Society
Authors: , ,
Keywords: programming: linear
Abstract:

In this paper, we investigate the various relationships among the linear programming solutions of data envelopment analysis (DEA) models under a constant returns to scale technology. We derive the analytical relationships among the efficiency measures and the activity variables for four separate models: the input–based, the output–based, the hyperbolic, and the proportional distance functions. We apply our results in order to derive a test of consistency that can be used in assessing the returns to scale among differing DEA models.

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