IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v317y2024i2p563-577.html
   My bibliography  Save this article

Individualized second stage corrections in data envelopment analysis

Author

Listed:
  • Afsharian, Mohsen
  • Kamali, Sara
  • Ahn, Heinz
  • Bogetoft, Peter

Abstract

In the context of two-stage data envelopment analysis (DEA) for efficiency correction, we shift the focus from the common central tendency orientation in its second stage to an individually oriented procedure. We propose to evaluate the influence of contextual variables on each unit's performance relative to the other operating units. This results in an alternative approach in which the second stage inherits the principal property of DEA in the first stage of putting each individual unit in its best possible light. We demonstrate the applicability of our approach using data from the energy sector in the domain of incentive regulation, where operators are natural monopolies. In such systems of incentives, ensuring fair performance evaluations is crucial, given the influence of contextual variables beyond management control. Our approach contributes to efficiency correction procedures under these circumstances. The results not only encourage operators to economize costs and improve service quality but also motivate them to, for example, minimize environmental impact of operations, adopt eco-friendly technologies, and invest in renewable energy sources.

Suggested Citation

  • Afsharian, Mohsen & Kamali, Sara & Ahn, Heinz & Bogetoft, Peter, 2024. "Individualized second stage corrections in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 317(2), pages 563-577.
  • Handle: RePEc:eee:ejores:v:317:y:2024:i:2:p:563-577
    DOI: 10.1016/j.ejor.2024.04.008
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221724002674
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ejor.2024.04.008?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Banker, Rajiv D. & Chang, Hsihui, 2006. "The super-efficiency procedure for outlier identification, not for ranking efficient units," European Journal of Operational Research, Elsevier, vol. 175(2), pages 1311-1320, December.
    2. Hawdon, David, 2003. "Efficiency, performance and regulation of the international gas industry--a bootstrap DEA approach," Energy Policy, Elsevier, vol. 31(11), pages 1167-1178, September.
    3. Jamasb, Tooraj & Pollitt, Michael & Triebs, Thomas, 2008. "Productivity and efficiency of US gas transmission companies: A European regulatory perspective," Energy Policy, Elsevier, vol. 36(9), pages 3398-3412, September.
    4. Léopold Simar & Paul Wilson, 2011. "Two-stage DEA: caveat emptor," Journal of Productivity Analysis, Springer, vol. 36(2), pages 205-218, October.
    5. Per Andersen & Niels Christian Petersen, 1993. "A Procedure for Ranking Efficient Units in Data Envelopment Analysis," Management Science, INFORMS, vol. 39(10), pages 1261-1264, October.
    6. Haas, David A. & Murphy, Frederic H., 2003. "Compensating for non-homogeneity in decision-making units in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 144(3), pages 530-544, February.
    7. Subhash C. Ray, 1991. "Resource-Use Efficiency in Public Schools: A Study of Connecticut Data," Management Science, INFORMS, vol. 37(12), pages 1620-1628, December.
    8. Johnson, Andrew L. & Kuosmanen, Timo, 2012. "One-stage and two-stage DEA estimation of the effects of contextual variables," European Journal of Operational Research, Elsevier, vol. 220(2), pages 559-570.
    9. Peter Bogetoft, 1997. "DEA-based yardstick competition: The optimality of best practice regulation," Annals of Operations Research, Springer, vol. 73(0), pages 277-298, October.
    10. Rajiv D. Banker & Ram Natarajan, 2008. "Evaluating Contextual Variables Affecting Productivity Using Data Envelopment Analysis," Operations Research, INFORMS, vol. 56(1), pages 48-58, February.
    11. Mohsen Afsharian & Heinz Ahn & Emmanuel Thanassoulis, 2024. "Incentivizing centrally regulated units to improve performance: Pitfalls and requirements," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 75(2), pages 395-409, February.
    12. Timothy J. Coelli & D.S. Prasada Rao & Christopher J. O’Donnell & George E. Battese, 2005. "An Introduction to Efficiency and Productivity Analysis," Springer Books, Springer, edition 0, number 978-0-387-25895-9, January.
    13. Afsharian, Mohsen & Bogetoft, Peter, 2020. "Identifying production units with outstanding performance," European Journal of Operational Research, Elsevier, vol. 287(3), pages 1191-1194.
    14. Banker, Rajiv & Natarajan, Ram & Zhang, Daqun, 2019. "Two-stage estimation of the impact of contextual variables in stochastic frontier production function models using Data Envelopment Analysis: Second stage OLS versus bootstrap approaches," European Journal of Operational Research, Elsevier, vol. 278(2), pages 368-384.
    15. Kuosmanen, Timo & Saastamoinen, Antti & Sipiläinen, Timo, 2013. "What is the best practice for benchmark regulation of electricity distribution? Comparison of DEA, SFA and StoNED methods," Energy Policy, Elsevier, vol. 61(C), pages 740-750.
    16. da Silva, Aline Veronese & Costa, Marcelo Azevedo & Lopes, Ana Lúcia Miranda & do Carmo, Gabriela Miranda, 2019. "A close look at second stage data envelopment analysis using compound error models and the Tobit model," Socio-Economic Planning Sciences, Elsevier, vol. 65(C), pages 111-126.
    17. McDonald, John, 2009. "Using least squares and tobit in second stage DEA efficiency analyses," European Journal of Operational Research, Elsevier, vol. 197(2), pages 792-798, September.
    18. Afsharian, Mohsen & Ahn, Heinz & Thanassoulis, Emmanuel, 2019. "A frontier-based system of incentives for units in organisations with varying degrees of decentralisation," European Journal of Operational Research, Elsevier, vol. 275(1), pages 224-237.
    19. Varmaz, Armin & Varwig, Andreas & Poddig, Thorsten, 2013. "Centralized resource planning and Yardstick competition," Omega, Elsevier, vol. 41(1), pages 112-118.
    20. Zhu, Joe, 2001. "Super-efficiency and DEA sensitivity analysis," European Journal of Operational Research, Elsevier, vol. 129(2), pages 443-455, March.
    21. Veronese da Silva, Aline & Costa, Marcelo Azevedo & Lopes-Ahn, Ana Lúcia, 2022. "Accounting multiple environmental variables in DEA energy transmission benchmarking modelling: The 2019 Brazilian case," Socio-Economic Planning Sciences, Elsevier, vol. 80(C).
    22. Hoff, Ayoe, 2007. "Second stage DEA: Comparison of approaches for modelling the DEA score," European Journal of Operational Research, Elsevier, vol. 181(1), pages 425-435, August.
    23. Dyson, R. G. & Allen, R. & Camanho, A. S. & Podinovski, V. V. & Sarrico, C. S. & Shale, E. A., 2001. "Pitfalls and protocols in DEA," European Journal of Operational Research, Elsevier, vol. 132(2), pages 245-259, July.
    24. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    25. Simar, Leopold & Wilson, Paul W., 2007. "Estimation and inference in two-stage, semi-parametric models of production processes," Journal of Econometrics, Elsevier, vol. 136(1), pages 31-64, January.
    26. Rajiv D. Banker & Richard C. Morey, 1986. "Efficiency Analysis for Exogenously Fixed Inputs and Outputs," Operations Research, INFORMS, vol. 34(4), pages 513-521, August.
    27. Afsharian, Mohsen & Podinovski, Victor V., 2018. "A linear programming approach to efficiency evaluation in nonconvex metatechnologies," European Journal of Operational Research, Elsevier, vol. 268(1), pages 268-280.
    28. Cleveland, William S. & Devlin, Susan J. & Grosse, Eric, 1988. "Regression by local fitting : Methods, properties, and computational algorithms," Journal of Econometrics, Elsevier, vol. 37(1), pages 87-114, January.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Touati-Tliba, Mohamed, 2024. "Comparative performance of Algeria's education districts: The Influence of colonial legacy through cultural capital," Socio-Economic Planning Sciences, Elsevier, vol. 91(C).
    2. Lee, Boon L. & Wilson, Clevo & Simshauser, Paul & Majiwa, Eucabeth, 2021. "Deregulation, efficiency and policy determination: An analysis of Australia's electricity distribution sector," Energy Economics, Elsevier, vol. 98(C).
    3. An, Qingxian & Tao, Xiangyang & Chen, Xiaohong, 2023. "Nested frontier-based best practice regulation under asymmetric information in a principal–agent framework," European Journal of Operational Research, Elsevier, vol. 306(1), pages 269-285.
    4. Veronese da Silva, Aline & Costa, Marcelo Azevedo & Lopes-Ahn, Ana Lúcia, 2022. "Accounting multiple environmental variables in DEA energy transmission benchmarking modelling: The 2019 Brazilian case," Socio-Economic Planning Sciences, Elsevier, vol. 80(C).
    5. Daniel Santín & Gabriela Sicilia, 2015. "Measuring the efficiency of public schools in Uruguay: main drivers and policy implications," Latin American Economic Review, Springer;Centro de Investigaciòn y Docencia Económica (CIDE), vol. 24(1), pages 1-28, December.
    6. José Manuel Cordero & Cristina Polo & Daniel Santín & Gabriela Sicilia, 2016. "Monte-Carlo Comparison of Conditional Nonparametric Methods and Traditional Approaches to Include Exogenous Variables," Pacific Economic Review, Wiley Blackwell, vol. 21(4), pages 483-497, October.
    7. Huguenin, Jean-Marc, 2015. "Adjusting for the environment in DEA: A comparison of alternative models based on empirical data," Socio-Economic Planning Sciences, Elsevier, vol. 52(C), pages 41-54.
    8. António J. R. Santos & Sérgio P. Santos & Carla A. F. Amado & Efigénio L. Rebelo & Júlio C. Mendes, 2020. "Labor inspectorates’ efficiency and effectiveness assessment as a learning path to improve work-related accident prevention," Annals of Operations Research, Springer, vol. 288(2), pages 609-651, May.
    9. Amir Moradi-Motlagh & Ali Emrouznejad, 2022. "The origins and development of statistical approaches in non-parametric frontier models: a survey of the first two decades of scholarly literature (1998–2020)," Annals of Operations Research, Springer, vol. 318(1), pages 713-741, November.
    10. Agrell, Per J. & Brea-Solís, Humberto, 2017. "Capturing heterogeneity in electricity distribution operations: A critical review of latent class modelling," Energy Policy, Elsevier, vol. 104(C), pages 361-372.
    11. Liu, John S. & Lu, Louis Y.Y. & Lu, Wen-Min, 2016. "Research fronts in data envelopment analysis," Omega, Elsevier, vol. 58(C), pages 33-45.
    12. Afsharian, Mohsen & Bogetoft, Peter, 2020. "Identifying production units with outstanding performance," European Journal of Operational Research, Elsevier, vol. 287(3), pages 1191-1194.
    13. da Silva, Aline Veronese & Costa, Marcelo Azevedo & Lopes, Ana Lúcia Miranda & do Carmo, Gabriela Miranda, 2019. "A close look at second stage data envelopment analysis using compound error models and the Tobit model," Socio-Economic Planning Sciences, Elsevier, vol. 65(C), pages 111-126.
    14. Mai, Nhat Chi, 2015. "Efficiency of the banking system in Vietnam under financial liberalization," OSF Preprints qsf6d, Center for Open Science.
    15. da Silva, Aline Veronese & Costa, Marcelo Azevedo & Ahn, Heinz & Lopes, Ana Lúcia Miranda, 2019. "Performance benchmarking models for electricity transmission regulation: Caveats concerning the Brazilian case," Utilities Policy, Elsevier, vol. 60(C), pages 1-1.
    16. Weekx, Simon & Buyle, Sven, 2023. "The effect of airline dominance on airport performance: Empirical evidence from medium-sized European airports," Journal of Air Transport Management, Elsevier, vol. 107(C).
    17. Po-Chi Chen & Ching-Cheng Chang & Chih-Li Lai, 2014. "Incentive regulation and performance measurement of Taiwan’s incineration plants: an application of the four-stage DEA method," Journal of Productivity Analysis, Springer, vol. 41(2), pages 277-290, April.
    18. Johnson, Andrew L. & Kuosmanen, Timo, 2012. "One-stage and two-stage DEA estimation of the effects of contextual variables," European Journal of Operational Research, Elsevier, vol. 220(2), pages 559-570.
    19. Berger, Michael & Sommersguter-Reichmann, Margit & Czypionka, Thomas, 2020. "Determinants of soft budget constraints: how public debt affects hospital performance in Austria," LSE Research Online Documents on Economics 116865, London School of Economics and Political Science, LSE Library.
    20. da Silva e Souza, Geraldo & Gomes, Eliane Gonçalves, 2015. "Management of agricultural research centers in Brazil: A DEA application using a dynamic GMM approach," European Journal of Operational Research, Elsevier, vol. 240(3), pages 819-824.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:317:y:2024:i:2:p:563-577. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.