Cross-efficiency evaluation and improvement in two-stage network data envelopment analysis

Hamid Kiaei, Reza Farzipoor Saen*, Reza Kazemi Matin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


In Network Data Envelopment Analysis models, by considering the internal structure of production units rather than a simple black-box, more inefficiency sources are identified. The objective of this paper is to assess and improve the performance of Decision Making Units with a two-stage network using cross-efficiency approach. The main contributions of this study include; first, a new benevolent method in cross-efficiency evaluation of two-stage network is proposed. Second, we propose a method for setting inputs and outputs target to improve the cross-evaluations by changing inputs of the first stage and outputs of the second stage, simultaneously. A case study validates the discussions.

Original languageEnglish
Article number1
Pages (from-to)281-309
Number of pages29
JournalAnnals of Operations Research
Issue number1-2
Publication statusPublished - Dec 9 2022


  • Cross-efficiency
  • Network data envelopment analysis (NDEA)
  • Ranking
  • Two-stage DEA

ASJC Scopus subject areas

  • Decision Sciences(all)
  • Management Science and Operations Research

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