IDEAS home Printed from https://ideas.repec.org/a/ids/ijisen/v29y2018i3p405-412.html
   My bibliography  Save this article

A final note on the ones assignment method and its variants: they do not work

Author

Listed:
  • Eric Landquist
  • Curtis Reigle
  • Francis J. Vasko

Abstract

A recent paper presented a new algorithm, called the ones assignment method, for solving the assignment problem. This method is similar to the Hungarian method, but seeks to create, through division, ones in each row and column (instead of zeros as in the Hungarian method) of the assignment matrix. Subsequent steps are analogous to the Hungarian method. Several other researchers have suggested modifications to the ones assignment method in an effort to overcome flaws in the original method. In this brief paper, we provide a trivial assignment problem and show that neither the ones assignment method nor any of its variants are able to find the optimal solution to this problem which is obvious on inspection. We further argue that any further modifications to this or any similar method will likewise prove to be ineffective.

Suggested Citation

  • Eric Landquist & Curtis Reigle & Francis J. Vasko, 2018. "A final note on the ones assignment method and its variants: they do not work," International Journal of Industrial and Systems Engineering, Inderscience Enterprises Ltd, vol. 29(3), pages 405-412.
    • Handle: RePEc:ids:ijisen:v:29:y:2018:i:3:p:405-412
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=93048
    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.

    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:ijisen:v:29:y:2018:i:3:p:405-412. 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=188 .

    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.