IDEAS home Printed from https://ideas.repec.org/h/spr/lnechp/978-3-540-85646-7_8.html
   My bibliography  Save this book chapter

Computational Results for Four Exact Methods to Solve the Three-Objective Assignment Problem

In: Multiobjective Programming and Goal Programming

Author

Listed:
  • Przybylski Anthony

    (FRE CNRS 2729—Université de Nantes)

  • Gandibleux Xavier

    (FRE CNRS 2729—Université de Nantes)

  • Matthias Ehrgott

    (University of Auckland)

Abstract

Most of the published exact methods for solving multi-objective combinatorial optimization problems implicitely use properties of the bi-objective case and cannot easily be generalized to more than two objectives. Papers that deal ex-plicitely with three (or more) objectives are relatively rare and often recent. Very few experimental results are known for these methods and no comparison has been done. We have recently developed a generalization of the two phase method that we have applied to the three-objective assignment problem. In order to evaluate the performance of our method we have implemented three exact methods found in the literature. We provide an analysis of the performance of each method and explain the main difficulties observed in their application to the three-objective assignment problem.

Suggested Citation

  • Przybylski Anthony & Gandibleux Xavier & Matthias Ehrgott, 2009. "Computational Results for Four Exact Methods to Solve the Three-Objective Assignment Problem," Lecture Notes in Economics and Mathematical Systems, in: Vincent Barichard & Matthias Ehrgott & Xavier Gandibleux & Vincent T'Kindt (ed.), Multiobjective Programming and Goal Programming, pages 79-88, Springer.
    • Handle: RePEc:spr:lnechp:978-3-540-85646-7_8
    DOI: 10.1007/978-3-540-85646-7_8
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Citations

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


    Cited by:

    1. Kirlik, Gokhan & Sayın, Serpil, 2014. "A new algorithm for generating all nondominated solutions of multiobjective discrete optimization problems," European Journal of Operational Research, Elsevier, vol. 232(3), pages 479-488.
    2. Angelo Aliano Filho & Antonio Carlos Moretti & Margarida Vaz Pato & Washington Alves Oliveira, 2021. "An exact scalarization method with multiple reference points for bi-objective integer linear optimization problems," Annals of Operations Research, Springer, vol. 296(1), pages 35-69, January.
    3. Klamroth, Kathrin & Stiglmayr, Michael & Sudhoff, Julia, 2023. "Ordinal optimization through multi-objective reformulation," European Journal of Operational Research, Elsevier, vol. 311(2), pages 427-443.

    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:spr:lnechp:978-3-540-85646-7_8. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.