Skip to main content
SpringerLink
Log in

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

  • Published:
Journal of Optimization Theory and Applications Aims and scope Submit manuscript

Abstract

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

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Galperin, E. A., Nonscalarized Multiobjective Global Optimization, Journal of Optimization Theory and Applications, Vol. 75,No. 1, pp. 69–85, 1992.

    Google Scholar 

  2. Hamacher, H. W., and Nickel, S., Multicriteria Planar Location Problems, Technical Report 243, Fachbereich Mathematik, Universität Kaiserslautern, 1993.

Download references

Author information

Authors and Affiliations

  1. Fachbereich Mathetnatik, Universität Kaiserslautern, Kaiserslautern, Germany

    M. Ehrgott

  2. Fachbereich Mathematik, Universität Kaiserslautern, Kaiserslautern, Germany

    H. W. Hamacher

  3. Fachbereich Mathematik, Universität Kaiserslautern, Kaiserslautern, Germany

    K. Klamroth

  4. Fachbereich Mathematik, Universität Kaiserslautern, Kaiserslautern, Germany

    S. Nickel

  5. Fachbereich Mathematik, Universität Kaiserslautern, Kaiserslautern, Germany

    A. Schöbel

  6. Fachbereich Mathematik, Universität Kaiserslautern, Germany

    M. M. Wiecek

  7. Department of Mathematical Sciences, Clemson University, Clemson, South Carolina

    M. M. Wiecek

Authors
  1. M. Ehrgott
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. H. W. Hamacher
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. K. Klamroth
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. S. Nickel
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. A. Schöbel
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. M. M. Wiecek
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ehrgott, M., Hamacher, H.W., Klamroth, K. et al. Equivalence of Balance Points and Pareto Solutions in Multiple-Objective Programming. Journal of Optimization Theory and Applications 92, 209–212 (1997). https://doi.org/10.1023/A:1022600416297

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1022600416297

Search

Navigation