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Restricting Multiple-Output Multiple-Input DEA Models by Disaggregating the Output–Input Vector


  • John Salerian


  • Chris Chan


One of the strengths of DEA in the measurement of technical efficiency is that it readily accommodates multiple-output multiple-input production technologies. In doing so, it assumes that each of the inputs is used jointly in the production of each output. In some applied studies, this can be undesirable. We propose a new disaggregated formulation that allows a specific output to be made independent of a specific input, while maintaining the joint production relationship for the other outputs and inputs. We demonstrate the approach by applying it to measure the technical efficiency of national rail systems in 20 countries between 1990 and 1998. Copyright Springer Science+Business Media, Inc. 2005

Suggested Citation

  • John Salerian & Chris Chan, 2005. "Restricting Multiple-Output Multiple-Input DEA Models by Disaggregating the Output–Input Vector," Journal of Productivity Analysis, Springer, vol. 24(1), pages 5-29, September.
  • Handle: RePEc:kap:jproda:v:24:y:2005:i:1:p:5-29
    DOI: 10.1007/s11123-005-3038-4

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    Cited by:

    1. Walheer, Barnabé, 2018. "Disaggregation of the cost Malmquist productivity index with joint and output-specific inputs," Omega, Elsevier, vol. 75(C), pages 1-12.
    2. Silva, Maria Conceição A., 2018. "Output-specific inputs in DEA: An application to courts of justice in Portugal," Omega, Elsevier, vol. 79(C), pages 43-53.
    3. Walheer, Barnabé, 2016. "Growth and convergence of the OECD countries: A multi-sector production-frontier approach," European Journal of Operational Research, Elsevier, vol. 252(2), pages 665-675.
    4. Barnabé Walheer, 2020. "Output, input, and undesirable output interconnections in data envelopment analysis: convexity and returns-to-scale," Annals of Operations Research, Springer, vol. 284(1), pages 447-467, January.
    5. Cherchye, Laurens & Rock, Bram De & Walheer, Barnabé, 2015. "Multi-output efficiency with good and bad outputs," European Journal of Operational Research, Elsevier, vol. 240(3), pages 872-881.
    6. Barnabé Walheer, 2019. "Disaggregation for efficiency analysis," Journal of Productivity Analysis, Springer, vol. 51(2), pages 137-151, June.
    7. Maria Conceição Portela, 2016. "Output-specific inputs in DEA: an application to courts," Working Papers de Gestão (Management Working Papers) 02, Católica Porto Business School, Universidade Católica Portuguesa.
    8. Walheer, Barnabé, 2019. "Aggregating Farrell efficiencies with private and public inputs," European Journal of Operational Research, Elsevier, vol. 276(3), pages 1170-1177.
    9. Walheer, Barnabé, 2018. "Scale efficiency for multi-output cost minimizing producers: The case of the US electricity plants," Energy Economics, Elsevier, vol. 70(C), pages 26-36.
    10. Walheer, Barnabe & Hudik, Marek, 2019. "Reallocation of resources in multidivisional firms: A nonparametric approach," International Journal of Production Economics, Elsevier, vol. 214(C), pages 196-205.
    11. Walheer, Barnabé, 2019. "Malmquist productivity index for multi-output producers: An application to electricity generation plants," Socio-Economic Planning Sciences, Elsevier, vol. 65(C), pages 76-88.
    12. Cherchye, Laurens & De Rock, Bram & Walheer, Barnabé, 2016. "Multi-output profit efficiency and directional distance functions," Omega, Elsevier, vol. 61(C), pages 100-109.
    13. Barnabé Walheer, 2018. "Cost Malmquist productivity index: an output-specific approach for group comparison," Journal of Productivity Analysis, Springer, vol. 49(1), pages 79-94, February.
    14. Roets, Bart & Verschelde, Marijn & Christiaens, Johan, 2018. "Multi-output efficiency and operational safety: An analysis of railway traffic control centre performance," European Journal of Operational Research, Elsevier, vol. 271(1), pages 224-237.


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