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Enhancement of Sandwich Algorithms for Approximating Higher Dimensional Convex Pareto Sets

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  • Rennen, G.

    (Tilburg University, School of Economics and Management)

  • van Dam, E.R.

    (Tilburg University, School of Economics and Management)

  • den Hertog, D.

    (Tilburg University, School of Economics and Management)

Abstract

No abstract is available for this item.

Suggested Citation

  • Rennen, G. & van Dam, E.R. & den Hertog, D., 2009. "Enhancement of Sandwich Algorithms for Approximating Higher Dimensional Convex Pareto Sets," Other publications TiSEM e2255959-6691-4ef1-88a4-5, Tilburg University, School of Economics and Management.
  • Handle: RePEc:tiu:tiutis:e2255959-6691-4ef1-88a4-537977c80ffd
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    References listed on IDEAS

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    1. JosÉ Figueira & Salvatore Greco & Matthias Ehrogott, 2005. "Multiple Criteria Decision Analysis: State of the Art Surveys," International Series in Operations Research and Management Science, Springer, number 978-0-387-23081-8, April.
    2. S. Ruzika & M. M. Wiecek, 2005. "Approximation Methods in Multiobjective Programming," Journal of Optimization Theory and Applications, Springer, vol. 126(3), pages 473-501, September.
    3. Solanki, Rajendra S. & Appino, Perry A. & Cohon, Jared L., 1993. "Approximating the noninferior set in multiobjective linear programming problems," European Journal of Operational Research, Elsevier, vol. 68(3), pages 356-373, August.
    4. Siem, A.Y.D. & den Hertog, D. & Hoffmann, A.L., 2008. "The effect of transformations on the approximation of univariate (convex) functions with applications to Pareto curves," European Journal of Operational Research, Elsevier, vol. 189(2), pages 347-362, September.
    5. H. Romeijn & James Dempsey, 2008. "Rejoinder on: Intensity modulated radiation therapy treatment plan optimization," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(2), pages 256-257, December.
    6. H. Romeijn & James Dempsey, 2008. "Intensity modulated radiation therapy treatment plan optimization," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(2), pages 215-243, December.
    7. Lizhen Shao & Matthias Ehrgott, 2008. "Approximately solving multiobjective linear programmes in objective space and an application in radiotherapy treatment planning," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 68(2), pages 257-276, October.
    8. Hoffmann, A.L. & Siem, A.Y.D. & den Hertog, D. & Kaanders, J.H.A.M. & Huizenga, H., 2008. "Convex reformulation of biologically-based multi-crtiteria intensity-modulated radiation therapy optimization including fractionation effects," Other publications TiSEM a5430d1f-6b88-43ba-af32-6, Tilburg University, School of Economics and Management.
    9. Kathrin Klamroth & Kaisa Miettinen, 2008. "Integrating Approximation and Interactive Decision Making in Multicriteria Optimization," Operations Research, INFORMS, vol. 56(1), pages 222-234, February.
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