Efficiency and Cross-efficiency in DEA: Derivations, Meanings and Uses

Evaluation of decision-making units based on the weight-optimized DEA model

“…However, Doyle and Green [17] pointed out that the peer-evaluation mode is also important and common, and proposed the cross-efficiency evaluation model. The main idea of the cross-efficiency evaluation is to use the DEA in the peer evaluation mode instead of the self-evaluation mode.…”

“…Maddahi et al [32] used the optimization of proportional weights as the secondary goal. Among secondary goal cross-efficiency DEA models, the most commonly used ones are the benevolent and aggressive models developed by Doyle and Green [17]. The main idea of the benevolent (respectively, aggressive) model is to select for each DMU a set of optimal weights that makes all the other DMUs' crossefficiency scores as large (respectively, small) as possible, keeping its own score optimal.…”

“…The main idea of the benevolent (respectively, aggressive) model is to select for each DMU a set of optimal weights that makes all the other DMUs' crossefficiency scores as large (respectively, small) as possible, keeping its own score optimal. Doyle and Green's [17] model was then extended by Liang et al [26] with a variety of secondary objective functions being integrated into the cross-efficiency DEA framework. Apart from using secondary goal cross-efficiency DEA models to deal with the nonuniqueness problem, there are also several other methods.…”

Regional Spanish Tourism Competitiveness. A DEA-MONITUR approach

“…There are different techniques and proposals based on: (1) cross-efficiency DEA models (Sexton et al 1986, Doyle, Green 1994, Adler et al 2002; (2) super-efficiency models (Andersen, Petersen 1993, Zhu 1996, Seiford, Zhu 1998; and (3) virtual efficiency models (Bazargan, Vasigh 2003, Martín, Román 2006, Barzegarinegad et al 2014, Martín et al 2017). …”

A peeling DEA-game cross efficiency procedure to classify suppliers

“…Scholars have proposed different approaches and methods to improve the discriminating capability of DEA and generate full rankings among alternatives [10,11]. The approach based on the calculation of the crossefficiency scores of DMUs is effective to improve the discriminating capability of DEA and does not need introducing any subjectivity in the ranking procedure as a consequence of weighting schemes provided by expert judgment [12,13].…”