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A Tradeoff Cut Approach to Multiple Objective Optimization

Author

Listed:
  • K. Musselman

    (Pritsker & Associates, West Lafayette, Indiana)

  • Joseph Talavage

    (Purdue University, West Lafayette, Indiana)

Abstract

There is a need to develop user-oriented math programming techniques for resolution of decision problems in which several objectives must be considered. One approach, the Geoffrion-Dyer-Feinberg algorithm, allows interaction between the computer and the decision maker during the solution process. The interactive approach is adopted in this paper. However, our approach focuses on reducing the feasible region of the decision space rather than improving the stored image of the overall preference function. In so doing, the problem is reduced to a series of pairwise tradeoffs between the objectives. This obviates the need for any type of choice among vectors on the part of the decision maker and stays reasonably within his capability to supply necessary information for problem solution.

Suggested Citation

  • K. Musselman & Joseph Talavage, 1980. "A Tradeoff Cut Approach to Multiple Objective Optimization," Operations Research, INFORMS, vol. 28(6), pages 1424-1435, December.
    • Handle: RePEc:inm:oropre:v:28:y:1980:i:6:p:1424-1435
    DOI: 10.1287/opre.28.6.1424
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    Cited by:

    1. Asim Roy & Jyrki Wallenius, 1991. "Nonlinear and unconstrained multiple‐objective optimization: Algorithm, computation, and application," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(4), pages 623-635, August.
    2. 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.
    3. Aksoy, Yasemin & Butler, Timothy W. & Minor, Elliott D., 1996. "Comparative studies in interactive multiple objective mathematical programming," European Journal of Operational Research, Elsevier, vol. 89(2), pages 408-422, March.
    4. Kalu, Timothy Ch. U., 1999. "An algorithm for systems welfare interactive goal programming modelling," European Journal of Operational Research, Elsevier, vol. 116(3), pages 508-529, August.
    5. Vieira, D.A.G. & Lisboa, A.C., 2019. "A cutting-plane method to nonsmooth multiobjective optimization problems," European Journal of Operational Research, Elsevier, vol. 275(3), pages 822-829.

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