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On Dialogue Algorithms for Linear and Nonlinear Vector Optimization from the Point of View of Parametric Optimization

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Interactive Decision Analysis

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 229))

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Abstract

In treating vector optimization problems, dialogue methods play an ever increasing role (see e.g. R. Dupré et al /2/, A. Wierzbicki /1 1 /, A. Lewandowski et al /8/, S. Zionts et al /13 /).

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References

  1. Bank, B., Guddat, J., Klatte, D., Kummer, B., Tammer, K.

    Google Scholar 

  2. Nonlinear parametric optimization, Akademie-Verlag Berlin 1982

    Google Scholar 

  3. Dupré, R., Huckert, K., Jahn, J.. Lösung linearer Vektoroptimierungsprobleme durch das STEM-Verfahren. In H. Späth, Ausgewählte Operations Research Software in Fortran, Oldenbourg

    Google Scholar 

  4. Verlag München, Wien, 1979

    Google Scholar 

  5. Guddat, J., Wendler, K.. 0 primenenyi parametriceskovo

    Google Scholar 

  6. progammirovanija v vektornoi optimisazii - ob odnom dialogovom algoritme dlja resenija linejnych i nelinejnych sadac vektornoi optimisazii. To appear in Institut Report of Inst. Math. Mech. of Ac. of Science USSR, Swerdlowsk

    Google Scholar 

  7. Guddat, J., Wendler, K., Wernsdorf, R.. Über die Lösung von

    Google Scholar 

  8. Vektor-optimierungsproblemen mit Hilfe der parametrischen Optimierung. In Seminarbericht Nr. 37 der Sektion Mathematik der Humboldt-Universität Berlin

    Google Scholar 

  9. Guddat, J., Wendler, K.. Über zwei Dialogverfahren zur Vektor-

    Google Scholar 

  10. optimierung basierend auf der parametrischen Optimierung. To appear in Seminarbericht Nr. 50 der Sektion Mathematik der Humboldt-Universität Berlin

    Google Scholar 

  11. Guddat, J., Wacker, Hj., Zulehner, W.. On imbedding and parametric optimization - a concept of a globally convergent algorithm for nonlinear optimization. Institutsbericht Nr. 200, Math. Inst. Universität Linz. To appear in: Math. Programming Study

    Google Scholar 

  12. / Gfrerer, H., Guddat, J., Wacker, Hj.. A globally convergent algorithm based on imbedding and parametric optimization. Computing 30, 225–252 (1983)

    Article  Google Scholar 

  13. Lewandowski, A., Grauer, M.. The reference point optimization

    Google Scholar 

  14. approach–methods of efficient implementation in multiobjective and stochastic optimization. Proceedings of an IIASA Task Force Meeting Nov. 30–Dec. 4, 1981, 353–376

    Google Scholar 

  15. Nozieka, F., Guddat, J., Hollatz, H., Bank, B.. Theorie der

    Google Scholar 

  16. linearen parametrischen Optimierung. Akademie-Verlag Berlin 1974

    Google Scholar 

  17. / van de Panne, C.. Methods for linear and quadratic programming. North Holland, Amsterdam-Oxford 1975

    Google Scholar 

  18. Wierzbicki, A.. The use of reference objectives in multiobjective

    Google Scholar 

  19. optimization - Theoretical implications and practical experience. IIASA-Working Paper 79–66

    Google Scholar 

  20. / Zeleny, M.. Linear multiobjective Programming, Lecture Notes 95, Springer-Verlag, Berlin, Heidelberg, New York 1974

    Google Scholar 

  21. Zionts, S., Wallenius, J.. An interactive programming method for solving the multiple criteria problem. Man. Science, 22(1976),6, 652–663

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mathematics, Humboldt University, Berlin, GDR

    Jürgen Guddat & Klaus Wendler

Authors
  1. Jürgen Guddat
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  2. Klaus Wendler
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Editor information

Editors and Affiliations

  1. International Institute for Applied Systems Analysis, Schlossplatz 1, A-2361, Laxenburg, Austria

    M. Grauer  & A. P. Wierzbicki  & 

  2. Division of Mathematics and Cybernetics, Academy of Sciences of the GDR, Berlin, GDR

    M. Grauer

  3. Institute of Automatic Control, Technical University of Warsaw, Warsaw, Poland

    A. P. Wierzbicki

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© 1984 Springer-Verlag Berlin Heidelberg

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Guddat, J., Wendler, K. (1984). On Dialogue Algorithms for Linear and Nonlinear Vector Optimization from the Point of View of Parametric Optimization. In: Grauer, M., Wierzbicki, A.P. (eds) Interactive Decision Analysis. Lecture Notes in Economics and Mathematical Systems, vol 229. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-00184-4_14

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  • DOI: https://doi.org/10.1007/978-3-662-00184-4_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13354-4

  • Online ISBN: 978-3-662-00184-4

  • eBook Packages: Springer Book Archive

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