The hyperbolic-oriented efficiency measure as a remedy to infeasibility of super efficiency models

Andrew Johnson and L F McGinnis
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L F McGinnis: Georgia Institute of Technology

Journal of the Operational Research Society, 2009, vol. 60, issue 11, 1511-1517

Abstract: Abstract The infeasibility problem in traditional super efficiency models has been well established. A generalization of traditional input- or output-oriented super efficiency models, the directional distance function also suffers from infeasibility and related problems. The hyperbolic-oriented efficiency measure provides an alternative to the input-oriented, output-oriented, and directional efficiency measures in super efficiency models and it has the distinct advantage of eliminating the infeasibility problem for positive input/output data. We also show that using a hyperbolic orientation in a super efficiency model allows us to find feasible solutions for certain cases when the requirement for all data to be positive is relaxed. Further we demonstrate the hyperbolic orientated super efficiency method in an outlier detection application. Together, these results establish the use of the hyperbolic orientation in super efficiency analysis as a realistic alternative in practice.

Keywords: data envelopment analysis; hyperbolic distance function; super efficiency; outlier (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (12)

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DOI: 10.1057/jors.2009.71

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