Efficiency and benchmarking with directional distances: a data driven approach

Daraio, Cinzia;Simar, Léopold
(2014) , 33 pages

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  • Daraio, CinziaUniversity of Rome "La Sapienza", Italy
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Abstract
In efficiency analysis the assessment of the performance of Decision Making Units (DMUs) relays on the selection of the direction along which the distance from the effi- cient frontier is measured. Directional Distance Functions (DDFs) represent a flexible way to gauge the inefficiency of DMUs. Permitting the selection of a direction towards the efficient frontier is often useful in empirical applications. As a matter of fact, many papers in the literature have proposed specific DDFs suitable for different contexts of application. Nevertheless, the selection of a direction implies the choice of an effi- ciency target which is imposed to all the analyzed DMUs. Moreover, there exist many situations in which there is no a priori economic or managerial rationale to impose a subjective efficiency target. In this paper we propose a data-driven approach to find out an “objective” direction along which to gauge the inefficiency of each DMU. Our approach permits to take into account for the heterogeneity of DMUs and their diverse contexts that may influence their input and/or output mixes. Our method is also a data driven technique for benchmarking each DMU. We describe how to implement our framework and illustrate its usefulness with simulated and real datasets.
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Citations

Daraio, C., & Simar, L. (2014). Efficiency and benchmarking with directional distances: a data driven approach (ISBA Discussion Paper 2014/16). https://hdl.handle.net/2078.5/196494