Cross-efficiency evaluation with directional distance functions

José Ruiz

European Journal of Operational Research, 2013, vol. 228, issue 1, 181-189

Abstract: This paper extends the cross-efficiency evaluation for use with directional distance functions. Cross-efficiency evaluation has been developed with oriented Data Envelopment Analysis (DEA) models, so the extension proposed here is aimed at providing a peer-evaluation of decision making units (DMUs) based on measures that account for the inefficiency both in inputs and in outputs simultaneously. We explore the duality relations regarding the models of directional distance functions and define the cross-efficiencies on the basis of the equivalences with some fractional programming problems. Finally, we address in this new context the problem with the alternate optima for the weights and propose some models that implement different alternative secondary goals.

Keywords: Cross-efficiency evaluation; Data envelopment analysis; Directional distance functions (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (23)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:228:y:2013:i:1:p:181-189

DOI: 10.1016/j.ejor.2013.01.030

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