An input relaxation model for evaluating congestion in fuzzy DEA


  • Hooshang Kheirollahi Young Researchers and Elite Club, Sanandaj Branch, Islamic Azad University
  • Peyman Hessari Department of Mathematical Sciences, Ulsan National Institute of Science and Technology
  • Vincent Charles CENTRUM Católica Graduate Business School, Pontificia Universidad Católica del Perú
  • Rasoul Chawshini Kurdestan Electricity Power Distribution Company


This paper develops a BCC input relaxation model for identifying input
congestion as a severe form of inefficiency of decision-making units in fuzzy data envelopment analysis. The possibility approach is presented to obtain the models equivalent to fuzzy models. We use a one-model approach to determine input congestion based on the BCC input relaxation model. A numerical example is given to illustrate the proposed model and identify the congestion with precise and imprecise data. The proposed model is also used to determine the congestion in 16 hospitals using four fuzzy inputs and two fuzzy outputs with a symmetrical triangular membership function. 

Author Biography

Vincent Charles, CENTRUM Católica Graduate Business School, Pontificia Universidad Católica del Perú

Dr. V. Charles is the Director of Research and a Distinguished Research Professor at CENTRUM Católica Graduate Business School, PUCP, Lima, Peru. He is an Honorary Professor at MSM, The Netherlands, an Associate Staff at CLAS, University of Malaya, Malaysia, and a PDRF from NUS, Singapore. He is a certified Six Sigma Master Black Belt. He holds executive certificates from HBS, MIT, and RSS. His research interests include performance measurement and management, under deterministic, stochastic, and ambiguous business environments; also, quantitative analytics-oriented studies for the betterment of the community. He has 18 years of academic and consultancy experience and has published over 100 research papers and books. He holds international honors and awards, among which: the most innovative study to Peru’s Think-Tank of the Year to measure regional competitiveness; the highly commended award of Emerald/CLADEA and the intellectual contribution award of CENTRUM for three and six consecutive years, respectively. He is the Editor-in-Chief of JCC: The Business and Economics Research Journal.






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