Developing a chance-constrained Free Replicability Hull model for supplier selection

Majid Azadi, Reza Farzipoor Saen*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)


Selecting appropriate suppliers has strategic significance for every company. The Free Replicability Hull (FRH) 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 FRH (CCFRH) model is developed; its deterministic equivalent, which is a nonlinear programme, is also derived. Furthermore, it is shown that the deterministic equivalent of the CCFRH model can be converted into a quadratic programme. In addition, sensitivity analysis of the CCFRH model is discussed with respect to changes in parameters. Finally, a numerical example demonstrates the application of the proposed model.

Original languageEnglish
Pages (from-to)375-394
Number of pages20
JournalInternational Journal of Logistics Systems and Management
Issue number4
Publication statusPublished - Aug 2012


  • Chance-constrained data envelopment analysis
  • Chance-constrained programming
  • DEA
  • Free replicability hull
  • FRH
  • SCM
  • Sensitivity analysis
  • Supplier selection
  • Supply chain management

ASJC Scopus subject areas

  • Management Information Systems
  • Management Science and Operations Research
  • Information Systems and Management

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