IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v16y1968i3p682-687.html
   My bibliography  Save this article

Letter to the Editor—An Algorithm for Ranking all the Assignments in Order of Increasing Cost

Author

Listed:
  • Katta G. Murty

    (University of California, Berkeley, California)

Abstract

The Hungarian method gives an efficient algorithm for finding the minimal cost assignment. However, in some cases it may be useful to determine the second minimal assignment (i.e., the best assignment after excluding the minimal cost assignment) and in general the k th minimal assignment for k = 1, 2, …. These things can easily be determined if all the assignments can be arranged as a sequence in increasing order of cost. This paper describes an efficient algorithm for such a ranking of all the assignments. The maximum computational effort required to generate an additional assignment in the sequence is that of solving at most ( n − 1) different assignment problems, one each of sizes 2, 3, …, n .

Suggested Citation

  • Katta G. Murty, 1968. "Letter to the Editor—An Algorithm for Ranking all the Assignments in Order of Increasing Cost," Operations Research, INFORMS, vol. 16(3), pages 682-687, June.
    • Handle: RePEc:inm:oropre:v:16:y:1968:i:3:p:682-687
    DOI: 10.1287/opre.16.3.682
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.16.3.682
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.16.3.682?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
    ---><---

    Citations

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


    Cited by:

    1. Kai Watermeyer & Jürgen Zimmermann, 2020. "A branch-and-bound procedure for the resource-constrained project scheduling problem with partially renewable resources and general temporal constraints," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 42(2), pages 427-460, June.
    2. Gustavo Angulo & Shabbir Ahmed & Santanu S. Dey & Volker Kaibel, 2015. "Forbidden Vertices," Mathematics of Operations Research, INFORMS, vol. 40(2), pages 350-360, February.
    3. Molitor, P. & Jäger, G. & Goldengorin, B., 2005. "Some basics on tolerances," Research Report 05A13, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    4. Cowell, Robert G., 2013. "A simple greedy algorithm for reconstructing pedigrees," Theoretical Population Biology, Elsevier, vol. 83(C), pages 55-63.
    5. Christian Roed Pedersen & Lars Relund Nielsen & Kim Allan Andersen, 2008. "The Bicriterion Multimodal Assignment Problem: Introduction, Analysis, and Experimental Results," INFORMS Journal on Computing, INFORMS, vol. 20(3), pages 400-411, August.
    6. Jamal Ouenniche & Prasanna K. Ramaswamy & Michel Gendreau, 2017. "A dual local search framework for combinatorial optimization problems with TSP application," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(11), pages 1377-1398, November.
    7. B. I. Goldengorin & D. S. Malyshev & P. M. Pardalos & V. A. Zamaraev, 2015. "A tolerance-based heuristic approach for the weighted independent set problem," Journal of Combinatorial Optimization, Springer, vol. 29(2), pages 433-450, February.

    More about this item

    Statistics

    Access and download statistics

    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:inm:oropre:v:16:y:1968:i:3:p:682-687. 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    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.