Future planning for benchmarking and ranking sustainable suppliers using goal programming and robust double frontiers DEA

Hadi Shabanpour, Saeed Yousefi, Reza Farzipoor Saen*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

38 Citations (Scopus)


Decision-making for selecting sustainable suppliers has become an intricate duty. To rank sustainable suppliers and select benchmarks this paper proposes an efficiency improvement plan. Two levels of improvement plans including goals and benchmarks are presented for the suppliers. To this end, the first-level goals are obtained using goal programming (GP) and data envelopment analysis (DEA). Since inputs and outputs of the first-level goals might be imprecise, robust Charnes-Cooper-Rhodes (CCR) model is run. As a result, the benchmarks of the second-level are obtained. Then, a robust CCR inefficiency model is applied for ranking the suppliers. In fact, such a ranking capability is made by creating double-frontiers including CCR efficiency and inefficiency frontiers. Accordingly, the suppliers are ranked using the first-level goals. In the new ranking, uncertainty of the goals is considered by running robust optimization technique. The proposed approach provides technical and planning capabilities which are demonstrated by a case study.

Original languageEnglish
Pages (from-to)129-143
Number of pages15
JournalTransportation Research Part D: Transport and Environment
Publication statusPublished - Jan 1 2017


  • Benchmarking
  • Data envelopment analysis
  • Double frontiers
  • Efficiency evaluation
  • Goal programming
  • Robust DEA
  • Sustainable suppliers

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Transportation
  • Environmental Science(all)

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