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Scalarizations for adaptively solving multi-objective optimization problems

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  • Gabriele Eichfelder

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  • Gabriele Eichfelder, 2009. "Scalarizations for adaptively solving multi-objective optimization problems," Computational Optimization and Applications, Springer, vol. 44(2), pages 249-273, November.
    • Handle: RePEc:spr:coopap:v:44:y:2009:i:2:p:249-273
    DOI: 10.1007/s10589-007-9155-4
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    References listed on IDEAS

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    1. Li, Duan & Yang, Jian-Bo & Biswal, M. P., 1999. "Quantitative parametric connections between methods for generating noninferior solutions in multiobjective optimization," European Journal of Operational Research, Elsevier, vol. 117(1), pages 84-99, August.
    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.
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    Cited by:

    1. Tsionas, Mike G., 2019. "Multi-objective optimization using statistical models," European Journal of Operational Research, Elsevier, vol. 276(1), pages 364-378.
    2. Stephan Dempe & Gabriele Eichfelder & Jörg Fliege, 2015. "On the effects of combining objectives in multi-objective optimization," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 82(1), pages 1-18, August.
    3. R. S. Burachik & C. Y. Kaya & M. M. Rizvi, 2014. "A New Scalarization Technique to Approximate Pareto Fronts of Problems with Disconnected Feasible Sets," Journal of Optimization Theory and Applications, Springer, vol. 162(2), pages 428-446, August.
    4. Rastegar, Narges & Khorram, Esmaile, 2014. "A combined scalarizing method for multiobjective programming problems," European Journal of Operational Research, Elsevier, vol. 236(1), pages 229-237.
    5. N. T. T. Huong & N. D. Yen, 2014. "The Pascoletti–Serafini Scalarization Scheme and Linear Vector Optimization," Journal of Optimization Theory and Applications, Springer, vol. 162(2), pages 559-576, August.
    6. Benjamin Martin & Alexandre Goldsztejn & Laurent Granvilliers & Christophe Jermann, 2016. "On continuation methods for non-linear bi-objective optimization: towards a certified interval-based approach," Journal of Global Optimization, Springer, vol. 64(1), pages 3-16, January.
    7. Katrin Teichert & Tobias Seidel & Philipp Süss, 2024. "Combining discrete and continuous information for multi-criteria optimization problems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 100(1), pages 153-173, August.
    8. Victor Gergel & Evgeny Kozinov, 2018. "Efficient multicriterial optimization based on intensive reuse of search information," Journal of Global Optimization, Springer, vol. 71(1), pages 73-90, May.
    9. Fereshteh Akbari & Mehrdad Ghaznavi & Esmaile Khorram, 2018. "A Revised Pascoletti–Serafini Scalarization Method for Multiobjective Optimization Problems," Journal of Optimization Theory and Applications, Springer, vol. 178(2), pages 560-590, August.
    10. Raimundo, Marcos M. & Ferreira, Paulo A.V. & Von Zuben, Fernando J., 2020. "An extension of the non-inferior set estimation algorithm for many objectives," European Journal of Operational Research, Elsevier, vol. 284(1), pages 53-66.

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