Efficiency decomposition for multi-level multi-components production technologies

Antonio Peyrache, Maria C. A. Silva*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


This paper addresses the efficiency measurement of firms composed by multiple components, and assessed at different decision levels. In particular it develops models for three levels of decision/production: the subunit (production division/process), the DMU (firm) and the industry (system). For each level, inefficiency is measured using a directional distance function and the developed measures are contrasted with existing radial models. The paper also investigates how the efficiency scores computed at different levels are related to each other by proposing a decomposition into exhaustive and mutually exclusive components. The proposed method is illustrated using data on Portuguese hospitals. Since most of the topics addressed in this paper are related to more general network structures, avenues for future research are proposed and discussed.

Original languageEnglish
Pages (from-to)273-294
Number of pages22
JournalJournal of Productivity Analysis
Issue number3
Publication statusPublished - Dec 2023


  • Data envelopment analysis
  • Directional distance function
  • Efficiency
  • Multi-components technology


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