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Network DEA smallest improvement approach

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  • Lozano, Sebastián
  • Khezri, Somayeh

Abstract

In this paper the smallest improvement DEA approach to general networks of processes is proposed. The corresponding projection direction is endogenously computed by the model so that the relative distance to the frontier is minimal. Both the cooperative and the non-cooperative scenarios for the intermediate products are considered. For the cooperative case, the computed inefficiency score can be decomposed into the sum of the inefficiency scores of the different processes. For the non-cooperative scenario, an alternative decomposition based on the inefficiency of the different intermediate products is also presented. The proposed approach has been validated on different network DEA configurations.

Suggested Citation

  • Lozano, Sebastián & Khezri, Somayeh, 2021. "Network DEA smallest improvement approach," Omega, Elsevier, vol. 98(C).
    • Handle: RePEc:eee:jomega:v:98:y:2021:i:c:s0305048319305389
    DOI: 10.1016/j.omega.2019.102140
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    Cited by:

    1. Esteve, Miriam & Aparicio, Juan & Rodriguez-Sala, Jesus J. & Zhu, Joe, 2023. "Random Forests and the measurement of super-efficiency in the context of Free Disposal Hull," European Journal of Operational Research, Elsevier, vol. 304(2), pages 729-744.
    2. Tatiana Bencova & Andrea Bohacikova, 2022. "DEA in Performance Measurement of Two-Stage Processes: Comparative Overview of the Literature," Economic Studies journal, Bulgarian Academy of Sciences - Economic Research Institute, issue 5, pages 111-129.
    3. Kadziński, Miłosz & Stamenković, Mladen & Uniejewski, Maciej, 2022. "Stepwise benchmarking for multiple criteria sorting," Omega, Elsevier, vol. 108(C).
    4. Sebastián Lozano & Gabriel Villa, 2023. "Multiobjective centralized DEA approach to Tokyo 2020 Olympic Games," Annals of Operations Research, Springer, vol. 322(2), pages 879-919, March.
    5. Ren, Xian-tong & Fukuyama, Hirofumi & Yang, Guo-liang, 2022. "Eliminating congestion by increasing inputs in R&D activities of Chinese universities," Omega, Elsevier, vol. 110(C).
    6. Lozano, Sebastián, 2023. "Bargaining approach for efficiency assessment and target setting with fixed-sum variables," Omega, Elsevier, vol. 114(C).
    7. Kao, Chiang, 2022. "A maximum slacks-based measure of efficiency for closed series production systems," Omega, Elsevier, vol. 106(C).
    8. Hamid Kiaei & Reza Farzipoor Saen & Reza Kazemi Matin, 2023. "Cross-efficiency evaluation and improvement in two-stage network data envelopment analysis," Annals of Operations Research, Springer, vol. 321(1), pages 281-309, February.

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