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Equivalence of Balance Points and Pareto Solutions in Multiple-Objective Programming

Author

Listed:
  • M. Ehrgott

    (Universität Kaiserslautern)

  • H. W. Hamacher

    (Universität Kaiserslautern)

  • K. Klamroth

    (Universität Kaiserslautern)

  • S. Nickel

    (Universität Kaiserslautern)

  • A. Schöbel

    (Universität Kaiserslautern)

  • M. M. Wiecek

    (Universität Kaiserslautern
    Clemson University)

Abstract

It is shown that the concept of balance points introduced by Galperin (Ref. 1) is equivalent to the concept of Pareto optimality.

Suggested Citation

  • M. Ehrgott & H. W. Hamacher & K. Klamroth & S. Nickel & A. Schöbel & M. M. Wiecek, 1997. "Equivalence of Balance Points and Pareto Solutions in Multiple-Objective Programming," Journal of Optimization Theory and Applications, Springer, vol. 92(1), pages 209-212, January.
    • Handle: RePEc:spr:joptap:v:92:y:1997:i:1:d:10.1023_a:1022600416297
    DOI: 10.1023/A:1022600416297
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    Citations

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    Cited by:

    1. E. A. Galperin, 1997. "Pareto Analysis vis-à-vis Balance Space Approach in Multiobjective Global Optimization," Journal of Optimization Theory and Applications, Springer, vol. 93(3), pages 533-545, June.
    2. E. Galperin & P. Jimenez Guerra, 2001. "Duality of Nonscalarized Multiobjective Linear Programs: Dual Balance, Level Sets, and Dual Clusters of Optimal Vectors," Journal of Optimization Theory and Applications, Springer, vol. 108(1), pages 109-137, January.
    3. Zerdani, Ouiza & Moulai, Mustapha, 2011. "Optimization over an integer efficient set of a Multiple Objective Linear Fractional Problem," MPRA Paper 35579, University Library of Munich, Germany.
    4. A. Balbás & E. Galperin & P. Jiménez-Guerra, 2002. "Radial Solutions and Orthogonal Trajectories in Multiobjective Global Optimization," Journal of Optimization Theory and Applications, Springer, vol. 115(2), pages 315-344, November.
    5. Wassila Drici & Fatma Zohra Ouail & Mustapha Moulaï, 2018. "Optimizing a linear fractional function over the integer efficient set," Annals of Operations Research, Springer, vol. 267(1), pages 135-151, August.

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