Computational and Applied Mathematics

, Volume 36, Issue 1, pp 45–61 | Cite as

A linear relational DEA model to evaluate two-stage processes with shared inputs

  • Mehdi TolooEmail author
  • Ali Emrouznejad
  • Plácido Moreno


Two-stage data envelopment analysis (DEA) efficiency models identify the efficient frontier of a two-stage production process. In some two-stage processes, the inputs to the first stage are shared by the second stage, known as shared inputs. This paper proposes a new relational linear DEA model for dealing with measuring the efficiency score of two-stage processes with shared inputs under constant returns-to-scale assumption. Two case studies of banking industry and university operations are taken as two examples to illustrate the potential applications of the proposed approach.


Data envelopment analysis (DEA) Shared inputs Two-stage processes  IT investment Research income 

Mathematics Subject Classification

90C05 90C30 90C90 



The research was supported by the Czech Science Foundation (GACR project 14-31593S) and through European Social Fund within the project CZ.1.07/2.3.00/20.0296.


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Copyright information

© SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional 2015

Authors and Affiliations

  1. 1.Department of Business AdministrationTechnical University of OstravaOstravaCzech Republic
  2. 2.Aston Business SchoolAston UniversityBirminghamUK
  3. 3.Department of Industrial ManagementUniversity of SevilleSevilleSpain

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