4.7 Article

Procedures for ranking technical and cost efficient units: With a focus on nonconvexity

Journal

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
Volume 300, Issue 1, Pages 269-281

Publisher

ELSEVIER
DOI: 10.1016/j.ejor.2021.10.023

Keywords

Data envelopment analysis; Free disposal hull; Technical efficiency; Cost efficiency; Super-efficiency

Funding

  1. Czech Science Foundation [GA.CR 19-13946S]

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This contribution extends the literature on super-efficiency by focusing on ranking cost-efficient observations. It opens up a new topic by shifting the focus to ranking cost-efficient observations. The study also examines the effect of nonconvexity on super-efficiency notions.
This contribution extends the literature on super-efficiency by focusing on ranking cost-efficient observations. To the best of our knowledge, the focus has always been on technical super-efficiency and this focus on ranking cost-efficient observations may well open up a new topic. Furthermore, since the convexity axiom has both an impact on technical and cost efficiency, we pay a particular attention to the effect of nonconvexity on both super-efficiency notions. Apart from a numerical example, we use a secondary data set guaranteeing replication to illustrate these efficiency and super-efficiency concepts. Two empirical conclusions emerge. First, the cost super-efficiency notion ranks differently from the technical super-efficiency concept. Second, both cost and technical super-efficiency notions rank differently under convex and nonconvex technologies.(c) 2021 Elsevier B.V. All rights reserved.

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