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Theory of binary-valued data envelopment analysis: an application in assessing the sustainability of suppliers
journal contributionposted on 2022-03-15, 00:00 authored by B Karimi, Majid Azadi, R Farzipoor Saen, S Fosso Wamba
PurposeThe objective of this study is to present a binary-valued data envelopment analysis (DEA) theory. The authors’ proposed approach, for the first time, combines binary-valued and integer-valued theories concurrently in the DEA context. To do so, new production possibility sets (PPSs) with some distinguished features are developed.Design/methodology/approachThe authors address integer inputs and outputs in the proposed approach by introducing a new PPS.FindingsTo take into account the binary data, the authors develop axiomatic DEA principles. The binary production principles guarantee any combination of convexity and feasibility. Furthermore, the authors develop a new DEA model to consider integer and real data. A case study is presented to show the usefulness of the developed models. Using the proposed models, the authors obtained benchmarks to solve the sustainable supplier selection problems.Originality/value(1) For the first time, binary-valued and integer-valued theories are presented in an integrated DEA model. (2) To deal with the pure binary data, a new PPS is proposed. (3) To consider real, integer and binary data, a new PPS is introduced. (4) New technologies are developed to propose feasible solutions. (5) The proposed models can project inefficient decision-making units (DMUs) on efficiency frontier given binary, integer and real data. (6) A case study is given for the performance evaluation of sustainable suppliers.
JournalIndustrial Management and Data Systems
Pagination682 - 701
Publication classificationC1 Refereed article in a scholarly journal
Binary-valued dataCHAINComputer ScienceComputer Science, Interdisciplinary ApplicationsCONGESTIONData envelopment analysis (DEA)EFFICIENCYEfficiency measurementEngineeringEngineering, IndustrialINTEGER DATAInteger-valued dataMANAGEMENTMODELMULTIOBJECTIVE OPTIMIZATIONPERFORMANCE EVALUATIONScience & TechnologySELECTIONSustainable suppliersTechnology