Optimising proportional weights as a secondary goal in DEA cross-efficiency evaluation

Cross-efficiency evaluation is an alternative approach to rank of decision making units (DMUs) in data envelopment analysis (DEA). This approach introduces a cross-efficiency matrix, in which the units are self and peer evaluated. However, the cross-efficiency scores may not be unique due to the presence of alternate optima. To overcome this shortcoming, the secondary goals have been introduced in the cross-efficiency evaluation. In this paper, we propose the proportional weight assignment technique that makes a selection of weight proportional to its corresponding input or output as a secondary goal in DEA cross-efficiency evaluation. A numerical example is solved by use of the proposed method and its results are compared with other approaches. The results show that our proposed method can be effective and practical.

data envelopment analysis, DEA, cross-efficiency, proportional weights, ranking