IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v39y1992i1p115-135.html
   My bibliography  Save this article

A multi‐run interactive method for bicriterion optimization problems

Author

Listed:
  • Wan S. Shin
  • Jung J. Lee

Abstract

This article introduces a new conceptual and methodological framework for the use of decision makers and their interactions with the computer in bicriterion decision making. The new method, called the multirun interactive method, attempts to estimate the prior of the decision maker on his uncertain preference nature using the minimum cross‐entropy principle. A computational study is performed with four hypothesized prior distributions under various interaction conditions. Other important aspects related to the method, such as implementation of the method, decision making under certainty, decision making with multiple decision makers, and bicriterion integer programming, are also discussed.

Suggested Citation

  • Wan S. Shin & Jung J. Lee, 1992. "A multi‐run interactive method for bicriterion optimization problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(1), pages 115-135, February.
  • Handle: RePEc:wly:navres:v:39:y:1992:i:1:p:115-135
    DOI: 10.1002/1520-6750(199202)39:13.0.CO;2-7
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/1520-6750(199202)39:13.0.CO;2-7
    Download Restriction: no

    File URL: https://libkey.io/10.1002/1520-6750(199202)39:13.0.CO;2-7?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
    ---><---

    References listed on IDEAS

    as
    1. Peter A. Morris, 1983. "An Axiomatic Approach to Expert Resolution," Management Science, INFORMS, vol. 29(1), pages 24-32, January.
    2. S. Sadagopan & A. Ravindran, 1982. "Interactive solution of bi‐criteria mathematical programs," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 29(3), pages 443-459, September.
    3. Richard E. Wendell, 1980. "Multiple Objective Mathematical Programming with Respect to Multiple Decision-Makers," Operations Research, INFORMS, vol. 28(5), pages 1100-1111, October.
    4. Gerald W. Evans, 1984. "An Overview of Techniques for Solving Multiobjective Mathematical Programs," Management Science, INFORMS, vol. 30(11), pages 1268-1282, November.
    5. Gary Klein & H. Moskowitz & A. Ravindran, 1986. "Comparative evaluation of prior versus progressive articulation of preference in bicriterion optimization," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 33(2), pages 309-323, May.
    6. Pekka Korhonen & Herbert Moskowitz & Jyrki Wallenius & Stanley Zionts, 1986. "An interactive approach to multiple criteria optimization with multiple decision‐makers," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 33(4), pages 589-602, November.
    7. Peter A. Morris, 1977. "Combining Expert Judgments: A Bayesian Approach," Management Science, INFORMS, vol. 23(7), pages 679-693, March.
    8. Stanley Zionts & Jyrki Wallenius, 1976. "An Interactive Programming Method for Solving the Multiple Criteria Problem," Management Science, INFORMS, vol. 22(6), pages 652-663, February.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. J. Fülöp & L. D. Muu, 2000. "Branch-and-Bound Variant of an Outcome-Based Algorithm for Optimizing over the Efficient Set of a Bicriteria Linear Programming Problem," Journal of Optimization Theory and Applications, Springer, vol. 105(1), pages 37-54, April.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Rafael Lazimy, 2013. "Interactive Polyhedral Outer Approximation (IPOA) strategy for general multiobjective optimization problems," Annals of Operations Research, Springer, vol. 210(1), pages 73-99, November.
    2. Jason R. W. Merrick, 2008. "Getting the Right Mix of Experts," Decision Analysis, INFORMS, vol. 5(1), pages 43-52, March.
    3. Gass, Saul I. & Roy, Pallabi Guha, 2003. "The compromise hypersphere for multiobjective linear programming," European Journal of Operational Research, Elsevier, vol. 144(3), pages 459-479, February.
    4. Ali E. Abbas, 2009. "A Kullback-Leibler View of Linear and Log-Linear Pools," Decision Analysis, INFORMS, vol. 6(1), pages 25-37, March.
    5. Wang, W., 1997. "Subjective estimation of the delay time distribution in maintenance modelling," European Journal of Operational Research, Elsevier, vol. 99(3), pages 516-529, June.
    6. Weyant John, 2014. "Integrated assessment of climate change: state of the literature," Journal of Benefit-Cost Analysis, De Gruyter, vol. 5(3), pages 377-409, December.
    7. Pekka Korhonen & Jyrki Wallenius, 1988. "A pareto race," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(6), pages 615-623, December.
    8. Bigun, Elizabeth Saers, 1995. "Risk analysis of catastrophes using experts' judgements: An empirical study on risk analysis of major civil aircraft accidents in Europe," European Journal of Operational Research, Elsevier, vol. 87(3), pages 599-612, December.
    9. R. Ramesh & Mark H. Karwan & Stanley Zionts, 1989. "Interactive multicriteria linear programming: An extension of the method of Zionts and Wallenius," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(3), pages 321-335, June.
    10. Irene Valsecchi, 2013. "The expert problem: a survey," Economics of Governance, Springer, vol. 14(4), pages 303-331, November.
    11. Bolger, Donnacha & Houlding, Brett, 2017. "Deriving the probability of a linear opinion pooling method being superior to a set of alternatives," Reliability Engineering and System Safety, Elsevier, vol. 158(C), pages 41-49.
    12. James E. Smith & Detlof von Winterfeldt, 2004. "Anniversary Article: Decision Analysis in Management Science," Management Science, INFORMS, vol. 50(5), pages 561-574, May.
    13. Robert T. Clemen & Robert L. Winkler, 1999. "Combining Probability Distributions From Experts in Risk Analysis," Risk Analysis, John Wiley & Sons, vol. 19(2), pages 187-203, April.
    14. Mehrez, A. & Yuan, Y. & Gafni, A., 1995. "The search for information -- A patient perspective on multiple opinions," European Journal of Operational Research, Elsevier, vol. 85(2), pages 244-262, September.
    15. Jason R. W. Merrick & J. Rene van Dorp & Amita Singh, 2005. "Analysis of Correlated Expert Judgments from Extended Pairwise Comparisons," Decision Analysis, INFORMS, vol. 2(1), pages 17-29, March.
    16. Hans Gersbach & Markus Müller, 2010. "Flexible pensions for politicians," Public Choice, Springer, vol. 145(1), pages 103-124, October.
    17. Kaliszewski, Ignacy & Michalowski, Wojtek, 1999. "Searching for psychologically stable solutions of multiple criteria decision problems," European Journal of Operational Research, Elsevier, vol. 118(3), pages 549-562, November.
    18. Thomas L. Saaty, 2013. "The Modern Science of Multicriteria Decision Making and Its Practical Applications: The AHP/ANP Approach," Operations Research, INFORMS, vol. 61(5), pages 1101-1118, October.
    19. Francisco J. André & Laura Riesgo, 2006. "A Duality Procedure to Elicit Nonlinear Multiattribute Utility Functions," Working Papers 06.02, Universidad Pablo de Olavide, Department of Economics.
    20. Mateos, A. & Jimenez, A. & Rios-Insua, S., 2006. "Monte Carlo simulation techniques for group decision making with incomplete information," European Journal of Operational Research, Elsevier, vol. 174(3), pages 1842-1864, November.

    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:wly:navres:v:39:y:1992:i:1:p:115-135. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc 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 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1520-6750 .

    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.