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

Research paper by J-P Boussemart, W Briec, H Leleu

Indexed on: 07 Nov '07Published on: 07 Nov '07Published in: Journal of the Operational Research Society


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.