Maintaining the Regular Ultra Passum Law in data envelopment analysis

Ole Bent Olesen, John Ruggiero

Research output: Contribution to journalJournal articleResearchpeer-review


The variable returns to scale data envelopment analysis (DEA) model is developed with a maintained hypothesis of convexity in input-output space. This hypothesis is not consistent with standard microeconomic production theory that posits an S-shape for the production frontier, i.e. for production technologies that obey the Regular Ultra Passum Law. Consequently, measures of technical efficiency assuming convexity are biased downward. In this paper, we provide a more general DEA model that allows the S-shape.

Original languageEnglish
JournalEuropean Journal of Operational Research
Issue number3
Pages (from-to)798–809
Publication statusPublished - 16. Jun 2014


  • Convex hull estimation
  • Data envelopment analysis (DEA)
  • Isoquant estimation
  • S-shaped production function


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