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Sensitivity and Stability of the Classifications of Returns to Scale in Data Envelopment Analysis

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  • Lawrence Seiford
  • Joe Zhu

Abstract

Sensitivity of the returns to scale (RTS) classifications in data envelopment analysis is studied by means of linear programming problems. The stability region for an observation preserving its current RTS classification (constant, increasing or decreasing returns to scale) can be easily investigated by the optimal values to a set of particular DEA-type formulations. Necessary and sufficient conditions are determined for preserving the RTS classifications when input or output data perturbations are non-proportional. It is shown that the sensitivity analysis method under proportional data perturbations can also be used to estimate the RTS classifications and discover the identical RTS regions yielded by the input-based and the output-based DEA methods. Thus, our approach provides information on both the RTS classifications and the stability of the classifications. This sensitivity analysis method can easily be applied via existing DEA codes. Copyright Kluwer Academic Publishers 1999

Suggested Citation

  • Lawrence Seiford & Joe Zhu, 1999. "Sensitivity and Stability of the Classifications of Returns to Scale in Data Envelopment Analysis," Journal of Productivity Analysis, Springer, vol. 12(1), pages 55-75, August.
    • Handle: RePEc:kap:jproda:v:12:y:1999:i:1:p:55-75
    DOI: 10.1023/A:1007803207538
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    References listed on IDEAS

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    8. Sueyoshi, Toshiyuki & Sekitani, Kazuyuki, 2007. "The measurement of returns to scale under a simultaneous occurrence of multiple solutions in a reference set and a supporting hyperplane," European Journal of Operational Research, Elsevier, vol. 181(2), pages 549-570, September.
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    11. Taleb, Mushtaq & Khalid, Ruzelan & Ramli, Razamin & Ghasemi, Mohammad Reza & Ignatius, Joshua, 2022. "An integrated bi-objective data envelopment analysis model for measuring returns to scale," European Journal of Operational Research, Elsevier, vol. 296(3), pages 967-979.
    12. Wijesiri, Mahinda & Yaron, Jacob & Meoli, Michele, 2015. "Performance of microfinance institutions in achieving the poverty outreach and financial sustainability: When age and size matter?," MPRA Paper 69821, University Library of Munich, Germany.
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