DEA with Common Set of Weights Based on a Multi Objective Fractional Programming problem

Data envelopment analysis operates as a tool to appraise the relative efficiency of a set of homogenous decision making units. DEA allows each DMU to take its optimal weight in comparison to other DMUs while a similar condition is considered for other units. This feature threats the comparability of different units because different weighting schemes are used for different DMUs. In this paper, a model is presented to determine a common set of weights to calculate DMUs efficiency. This model is developed based on a multi objective fractional linear programming model that considers the original DEA s results as ideal solution and seeks a set of common weights to evaluate DMUs and increases the model s discrimination power. A numerical example is solved and the proposed method s results are compared to some previous methods. This Comparison has shown the proposed method s advantages in ranking DMUs.