Advanced Search
MyIDEAS: Login to save this article or follow this journal

Solving the Discrete Multiple Criteria Problem using Convex Cones

Contents:

Author Info

  • Pekka Korhonen

    (Helsinki School of Economics and Business Administration, Runeberginkatu 14-16, 00100 Helsinki, Finland)

  • Jyrki Wallenius

    (Department of Economics and Management, University of Jyvaskyla, Jyvaskyla, Finland)

  • Stanley Zionts

    (School of Management, State University of New York, Buffalo, New York 14214)

Abstract

An interactive method employing pairwise comparisons of attainable solutions is developed for solving the discrete, deterministic multiple criteria problem assuming a single decision maker who has an implicit quasi-concave increasing utility (or value) function. The method chooses an arbitrary set of positive multipliers to generate a proxy composite linear objective function which is then maximized over the set of solutions. The maximizing solution is compared with several solutions using pairwise judgments asked of the decision maker. Responses are used to eliminate alternatives using convex cones based on expressed preferences, and then a new set of weights is found that satisfies the indicated preferences. The requisite theory and proofs as well as a detailed numerical example are included. In addition, the results of some computational experiments to test the effectiveness of the method are described.

Download Info

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
File URL: http://dx.doi.org/10.1287/mnsc.30.11.1336
Download Restriction: no

Bibliographic Info

Article provided by INFORMS in its journal Management Science.

Volume (Year): 30 (1984)
Issue (Month): 11 (November)
Pages: 1336-1345

as in new window
Handle: RePEc:inm:ormnsc:v:30:y:1984:i:11:p:1336-1345

Contact details of provider:
Postal: 7240 Parkway Drive, Suite 300, Hanover, MD 21076 USA
Phone: +1-443-757-3500
Fax: 443-757-3515
Email:
Web page: http://www.informs.org/
More information through EDIRC

Related research

Keywords: decision analysis; utility/preference: multiattribute; programming: multiple criteria; convex cones;

References

No references listed on IDEAS
You can help add them by filling out this form.

Citations

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

Cited by:
  1. Moshkovich, Helen M. & Mechitov, Alexander I. & Olson, David L., 2002. "Ordinal judgments in multiattribute decision analysis," European Journal of Operational Research, Elsevier, vol. 137(3), pages 625-641, March.
  2. Kallio, Markku & Halme, Merja, 2013. "Cone contraction and reference point methods for multi-criteria mixed integer optimization," European Journal of Operational Research, Elsevier, vol. 229(3), pages 645-653.
  3. Vetschera, Rudolf, 2000. "A multi-criteria agency model with incomplete preference information," European Journal of Operational Research, Elsevier, vol. 126(1), pages 152-165, October.
  4. Ringuest, Jeffrey L. & Graves, Samuel B., 2000. "A sampling-based method for generating nondominated solutions in stochastic MOMP problems," European Journal of Operational Research, Elsevier, vol. 126(3), pages 651-661, November.
  5. Huang, Zhimin & Li, Susan X. & Raghavan, Veeravalli & Bruce Sun, D., 1995. "Proper efficiency and cardinal utilities in multicriteria decision making," European Journal of Operational Research, Elsevier, vol. 82(3), pages 476-489, May.
  6. Lahdelma, Risto & Salminen, Pekka & Kuula, Markku, 2003. "Testing the efficiency of two pairwise comparison methods in discrete multiple criteria problems," European Journal of Operational Research, Elsevier, vol. 145(3), pages 496-508, March.
  7. Koksalan, Murat & Ulu, Canan, 2003. "An interactive approach for placing alternatives in preference classes," European Journal of Operational Research, Elsevier, vol. 144(2), pages 429-439, January.
  8. Vetschera, Rudolf, 1992. "Estimating preference cones from discrete choices: Computational techniques and experiences," Discussion Papers, Series 1 259, University of Konstanz, Department of Economics.
  9. Nowak, Maciej, 2007. "Aspiration level approach in stochastic MCDM problems," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1626-1640, March.
  10. Sun, Minghe & Steuer, Ralph E., 1996. "InterQuad: An interactive quad tree based procedure for solving the discrete alternative multiple criteria problem," European Journal of Operational Research, Elsevier, vol. 89(3), pages 462-472, March.
  11. Lee, Dong-Hee & Kim, Kwang-Jae & Köksalan, Murat, 2011. "A posterior preference articulation approach to multiresponse surface optimization," European Journal of Operational Research, Elsevier, vol. 210(2), pages 301-309, April.
  12. P. Korhonen & J. Karaivanova, 1998. "An Algorithm for Projecting a Reference Direction onto the Nondominated Set of Given Points," Working Papers ir98011, International Institute for Applied Systems Analysis.

Lists

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:inm:ormnsc:v:30:y:1984:i:11:p:1336-1345. 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: (Mirko Janc).

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.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with 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 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.