IDEAS home Printed from https://ideas.repec.org/a/ids/ijidsc/v7y2015i2p99-114.html
   My bibliography  Save this article

Developing selective proportionality on the FDH models: new insight on the proportionality axiom

Author

Listed:
  • Mohsen Afsharian
  • Heinz Ahn
  • Mohammadreza Alirezaee

Abstract

In many cases of DEA-based efficiency measurement systems, only a set of outputs has to be assumed to be proportional to a set of inputs. The assumption of constant returns to scale (CRS) is required with respect to the selected sets of inputs and outputs, preserving the variable returns to scale (VRS) assumption for the remaining factors. In such situations, neither CRS nor VRS-based models can provide valid results. In contrast to that, the selective proportionality axiom allows applying any desired combination of CRS and VRS. This paper proposes free disposal hull (FDH) technologies which incorporate the selective proportionality axiom. The considered technologies do not restrict themselves to convex technologies and are built solely on minimal axioms of non-emptiness and free disposability. The resulting FDH models are formulated as linear programming problems which are not only simple to solve but also provide an intuitive interpretation corresponding to the results. An illustrative numerical example is presented to explain the properties and features of the suggested FDH models.

Suggested Citation

  • Mohsen Afsharian & Heinz Ahn & Mohammadreza Alirezaee, 2015. "Developing selective proportionality on the FDH models: new insight on the proportionality axiom," International Journal of Information and Decision Sciences, Inderscience Enterprises Ltd, vol. 7(2), pages 99-114.
    • Handle: RePEc:ids:ijidsc:v:7:y:2015:i:2:p:99-114
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=68754
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

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

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Zohreh Moghaddas & Alireza Amirteimoori & Reza Kazemi Matin, 2022. "Selective proportionality and integer-valued data in DEA: an application to performance evaluation of high schools," Operational Research, Springer, vol. 22(4), pages 3435-3459, September.
    2. Mehdiloo, Mahmood & Podinovski, Victor V., 2021. "Strong, weak and Farrell efficient frontiers of technologies satisfying different production assumptions," European Journal of Operational Research, Elsevier, vol. 294(1), pages 295-311.
    3. 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.
    4. 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.

    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:ids:ijidsc:v:7:y:2015:i:2:p:99-114. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Sarah Parker (email available below). General contact details of provider: http://www.inderscience.com/browse/index.php?journalID=306 .

    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.