Efficiency intervals, rank intervals and dominance relations of decision-making units with fixed-sum outputs

How to evaluate the performance of decision-making units (DMUs) with fixed-sum outputs is a timely and challenging question in data envelopment analysis (DEA). Two major challenges are (1) how determine common equilibrium efficient frontier (2) deal multiple feasible frontiers. This paper first uses simple dataset illustrate possibility frontiers corresponding differences DMUs’ efficiencies rankings resulting from these We address by considering all develop several models obtain efficiency intervals, ranking intervals dominance relations for DMUs outputs. proposed approach two numerical examples show that it gives more informative results than previous DEA approaches. For example, there interesting between under outputs; yet do not exist when no In addition, ranges can be narrowed accounting policy suggestions such as adjustment constraints DMUs.