IDEAS home Printed from https://ideas.repec.org/p/ant/wpaper/2010023.html
   My bibliography  Save this paper

Sequential versus simultaneous application of multi-objective optimization and multi-criteria decision making: An empirical investigation

Author

Listed:
  • SÖRENSEN, Kenneth
  • SPRINGAEL, Johan
  • BUSSCHAERT, Sylvie

Abstract

The multi-objective optimization paradigm prescribes that a multi-objective optimization problem should be solved in two steps executed in sequence. First an approximation of the Pareto set is determined, that contains as many non-dominated solutions as possible. Secondly, a solution is chosen among these Pareto-optimal solutions. Although a large majority of papers on multi-objective optimization focuses exclusively on the first step, the second step is equally important: a decision maker generally can only implement a single solution and will need a way to select one according to his preferences. In this paper, we empirically test the soundness of the sequential approach to multiobjective optimization and provide convincing evidence that it can be outperformed by a simultaneous approach, in which the decision maker’s preferences are taken into account during the multi-objective optimization. To this end, we develop a simple tabu search algorithm for the multi-objective knapsack problem and combine it with the promethee multicriteria decision making method, both sequentially and simultaneously. The results of both approaches are compared both in terms of computing times and solution quality. The simultaneous approach is shown to strongly outperform the sequential one.

Suggested Citation

  • SÖRENSEN, Kenneth & SPRINGAEL, Johan & BUSSCHAERT, Sylvie, 2010. "Sequential versus simultaneous application of multi-objective optimization and multi-criteria decision making: An empirical investigation," Working Papers 2010023, University of Antwerp, Faculty of Applied Economics.
  • Handle: RePEc:ant:wpaper:2010023
    as

    Download full text from publisher

    File URL: https://repository.uantwerpen.be/docman/irua/629f5c/5631e884.pdf
    Download Restriction: no

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:ant:wpaper:2010023. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Joeri Nys). General contact details of provider: http://edirc.repec.org/data/ftufsbe.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.