Developing an output-oriented super slacks-based measure model with an application to third-party reverse logistics providers

Majid Azadi, Reza Farzipoor Saen*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)


Outsourcing is an increasingly significant topic pursued via corporations seeking enhanced efficiency. Third-party reverse logistics involves the employ of external firms to carry out some or all of the firm’s logistics activities. Output-oriented super slacks-based measure (SBM) model is one of the models in data envelopment analysis (DEA). In many real-world applications, data are often stochastic. A successful approach to address uncertainty in data is to replace deterministic data via random variables, leading to chance-constrained DEA. In this paper, a chance-constrained output-oriented super SBM model is developed and also its deterministic equivalent, which is a nonlinear program, is derived. Furthermore, it is shown that the deterministic equivalent of the stochastic output-oriented super SBM model can be converted into a quadratic program. In addition, sensitivity analysis of the stochastic output-oriented super SBM model is discussed with respect to changes on parameters. Finally, a numerical example demonstrates the application of the proposed model.

Original languageEnglish
Pages (from-to)267-277
Number of pages11
JournalJournal of Multi-Criteria Decision Analysis
Issue number5-6
Publication statusPublished - 2011


  • Chance-constrained data envelopment analysis (ccdea)
  • Output-oriented super sbm
  • Third-party reverse logistics (3pl) providers

ASJC Scopus subject areas

  • General Decision Sciences
  • Strategy and Management

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