A new robust optimization approach to common weights formulation in DEA

Maziar Salahi, Mehdi Toloo*, Narges Torabi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

Flexibility in selecting the weights of inputs and outputs in data envelopment analysis models and uncertainty associated with the data might lead to unreliable efficiency scores. In this paper, to avoid these problems, first, we discuss robust Charnes, Cooper, Rhodes (CCR) model under Bertsimas and Sim approach. Then, the robust CCR solutions are used to find robust common set of weights under norm-1 and Bertsimas and Sim approach. Finally, on two numerical real-world examples, the performance of the proposed approach is compared by a similar recent approach from the literature to show the advantages of the new method and its applicability.

Original languageEnglish
Pages (from-to)1390-1402
Number of pages13
JournalJournal of the Operational Research Society
Volume72
Issue number6
DOIs
Publication statusPublished - 2021

Keywords

  • Data envelopment analysis
  • common set of weights
  • robust optimization
  • uncertainty

ASJC Scopus subject areas

  • Modelling and Simulation
  • Strategy and Management
  • Statistics, Probability and Uncertainty
  • Management Science and Operations Research

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