Some alternative models for DEA cross-efficiency evaluation

Cross-efficiency evaluation is an effective method for ranking decision-making units (DMUs) in data envelopment analysis (DEA) and can be performed with different formulations (aggressive or benevolent), secondary goals, and models. This paper proposes some new alternative models for DEA cross-efficiency evaluation to provide more methodological options for the decision maker (DM) to choose from. The proposed new alternative models are illustrated with two numerical examples. The results are believed to be more realistic than those obtained by the alternative secondary goals suggested by Liang et al. [Liang, L., Wu, J., Cook, W.D. and Zhu, J., 2008a. Alternative secondary goals in DEA cross-efficiency evaluation. International Journal of Production Economics 113 (2), 1025-1030].