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Super-efficiency and stability intervals in additive DEA

Author

Listed:
  • M C Gouveia

    (1] ISCAC, Quinta Agrícola, Coimbra, Portugal[2] INESC Coimbra, Coimbra, Portugal)

  • L C Dias

    (1] INESC Coimbra, Coimbra, Portugal[2] Faculty of Economics, University of Coimbra, Coimbra, Portugal)

  • C H Antunes

    (1] INESC Coimbra, Coimbra, Portugal[2] DEEC-FCT Universidade de Coimbra-Pólo II, Coimbra, Portugal)

Abstract

This study addresses the problem of finding the range of efficiency for each Decision Making Unit (DMU) considering uncertain data. Uncertainty in the DMU coefficients in each factor (input or output) is captured through interval coefficients (ie, these are uncertain but bounded). A two-phase additive Data Envelopment Analysis model for performance evaluation is used, which is adapted to include the concept of super-efficiency to provide a robustness analysis of the DMUs in face of uncertain information, assessing whether each DMU is surely efficient, potentially efficient, or surely inefficient for the uncertainty intervals specified. Another contribution is to present how a maximal stability hyper-rectangle can be computed for each DMU such that its efficiency status does not change when the coefficients vary within that interval.

Suggested Citation

  • M C Gouveia & L C Dias & C H Antunes, 2013. "Super-efficiency and stability intervals in additive DEA," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 64(1), pages 86-96, January.
    • Handle: RePEc:pal:jorsoc:v:64:y:2013:i:1:p:86-96
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    Citations

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    Cited by:

    1. Henriques, C.O. & Gouveia, C.M. & Tenente, M. & da Silva, P.P., 2022. "Employing Value-Based DEA in the eco-efficiency assessment of the electricity sector," Economic Analysis and Policy, Elsevier, vol. 73(C), pages 826-844.
    2. Henriques, C.O. & Gouveia, M.C., 2022. "Assessing the impact of COVID-19 on the efficiency of Portuguese state-owned enterprise hospitals," Socio-Economic Planning Sciences, Elsevier, vol. 84(C).
    3. Anna Labijak-Kowalska & Miłosz Kadziński, 2023. "Exact and stochastic methods for robustness analysis in the context of Imprecise Data Envelopment Analysis," Operational Research, Springer, vol. 23(1), pages 1-34, March.
    4. Henriques, C.O. & Chavez, J.M. & Gouveia, M.C. & Marcenaro-Gutierrez, O.D., 2022. "Efficiency of secondary schools in Ecuador: A value based DEA approach," Socio-Economic Planning Sciences, Elsevier, vol. 82(PA).
    5. Miłosz Kadziński & Krzysztof Ciomek & Paweł Rychły & Roman Słowiński, 2016. "Post factum analysis for robust multiple criteria ranking and sorting," Journal of Global Optimization, Springer, vol. 65(3), pages 531-562, July.
    6. Labijak-Kowalska, Anna & Kadziński, Miłosz & Dias, Luis C., 2024. "Robustness analysis for imprecise additive value efficiency analysis with an application to evaluation of special economic zones in Poland," Socio-Economic Planning Sciences, Elsevier, vol. 92(C).
    7. Gouveia, M.C. & Henriques, C.O. & Dias, L.C., 2023. "Eco-efficiency changes of the electricity and gas sectors across 28 European countries: A value-based data envelopment analysis productivity approach," Socio-Economic Planning Sciences, Elsevier, vol. 87(PB).
    8. Catarina Alexandra Neves Proença & Maria Elisabete Duarte Neves & Maria Castelo Baptista Gouveia & Mara Teresa Silva Madaleno, 2023. "Technological, healthcare and consumer funds efficiency: influence of COVID-19," Operational Research, Springer, vol. 23(2), pages 1-42, June.
    9. Gouveia, M.C. & Dias, L.C. & Antunes, C.H. & Boucinha, J. & Inácio, C.F., 2015. "Benchmarking of maintenance and outage repair in an electricity distribution company using the value-based DEA method," Omega, Elsevier, vol. 53(C), pages 104-114.
    10. M. C. Gouveia & L. C. Dias & C. H. Antunes & M. A. Mota & E. M. Duarte & E. M. Tenreiro, 2016. "An application of value-based DEA to identify the best practices in primary health care," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(3), pages 743-767, July.
    11. Maria Gouveia & Carla Henriques & Ana Amaro, 2022. "Is the Cohesion Policy Efficient in Supporting the Transition to a Low-Carbon Economy? Some Insights with Value-Based Data Envelopment Analysis," Sustainability, MDPI, vol. 14(18), pages 1-24, September.
    12. Maria Elisabete Duarte Neves & Maria Do Castelo Gouveia & Catarina Alexandra Neves Proença, 2020. "European Bank’s Performance and Efficiency," JRFM, MDPI, vol. 13(4), pages 1-17, April.
    13. Gouveia, M.C. & Henriques, C.O. & Costa, P., 2021. "Evaluating the efficiency of structural funds: An application in the competitiveness of SMEs across different EU beneficiary regions," Omega, Elsevier, vol. 101(C).

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