Scalarization and the Interface with Decision Makers in Interactive Multi Objective Linear Programming

  • Matthijs Kok
Part of the International Centre for Mechanical Sciences book series (CISM, volume 289)


Interactive multi-objective linear programming methods are based on three different types of scalarizing functions. In this note we discuss the amount of information to be given by decision makers for each of these types. We show that in many methods the ability of a decision maker to oversee a large number of stimuli is overestimated.


Decision Maker Interactive Method Linear Programming Method Goal Variable Multiple Objective Linear Programming 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Zionts, S. and J. Wallenius. An interactive multiple objective linear programming method for a class of underlying nonlinear functions, Management Science, 1983, vol. 29, no. 5, p. 519–529.CrossRefMATHMathSciNetGoogle Scholar
  2. 2.
    Spronk, J., Interactive Multiple Goal Programming; Applications to financial Planning, 1981. Martinus Nijhof, Boston.CrossRefGoogle Scholar
  3. 3.
    Chankong, V., and Y.Y. Haimes. The interactive Surrogate-Worth Tradeoff (ISWT) method for multiobjective decision-making, in S. Zionts (ed.), Multiple Criteria Problem Solving,Springer, Berlin, etc., 1978, p. 42–67.Google Scholar
  4. 4.
    Wierzbicki, A.P.. The use of reference objectives in multi objective optimization. Theoretical implications and practical experiences. IIASA, WP 79–66, 1979, Laxenburg, Austria.Google Scholar
  5. 5.
    Steuer, R.E., and E.U. Choo, An interactive weighted Tchebycheff procedure for multiple objective programming, Mathematical Programming, 26, 1983, p. 326–344.CrossRefMATHMathSciNetGoogle Scholar
  6. 6.
    Zeleny, M., Linear Multi-Objective Programming, Springer, Berlin, 1974.CrossRefGoogle Scholar
  7. 7.
    Benayoun, R., Montgolfier, J. de, Tergny, J., and Larichev, 0.I., Linear Programming with multiple objective functions: STEP method (STEM), Mathematical Programming 1, 1971, p. 366–375.CrossRefMATHMathSciNetGoogle Scholar
  8. 8.
    Kok, M. and F.A. Lootsma, 1984. Pairwise-comparison methods in multi-objective programming, with applications in a long-term energy-planning model. Report of the Department of Mathematics and Informatics, 84–19, Delft.Google Scholar
  9. 9.
    Kok, M., The interface with decision makers in interactive multi-objective linear programming methods, Report of the Department of Mathematics and Informatics,1984, Delft.Google Scholar
  10. 10.
    Payne, J.W.. Task complexity and contingent processing in decision making: an information search and protocol analysis, Organizational Behavior and Human Performance, 16, 1976, p. 366–387.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Wien 1985

Authors and Affiliations

  • Matthijs Kok
    • 1
  1. 1.Department of Mathematics and InformaticsDelft University of TechnologyNetherlands

Personalised recommendations