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Criteria and dimension reduction of linear multiple criteria optimization problems

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  • Nguyen Thoai

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  • Nguyen Thoai, 2012. "Criteria and dimension reduction of linear multiple criteria optimization problems," Journal of Global Optimization, Springer, vol. 52(3), pages 499-508, March.
    • Handle: RePEc:spr:jglopt:v:52:y:2012:i:3:p:499-508
    DOI: 10.1007/s10898-011-9764-4
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    References listed on IDEAS

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    1. N.V. Thoai, 2002. "Convergence and Application of a Decomposition Method Using Duality Bounds for Nonconvex Global Optimization," Journal of Optimization Theory and Applications, Springer, vol. 113(1), pages 165-193, April.
    2. A. B. Malinowska & D. F. M. Torres, 2008. "Computational Approach to Essential and Nonessential Objective Functions in Linear Multicriteria Optimization," Journal of Optimization Theory and Applications, Springer, vol. 139(3), pages 577-590, December.
    3. N. V. Thoai, 2010. "Reverse Convex Programming Approach in the Space of Extreme Criteria for Optimization over Efficient Sets," Journal of Optimization Theory and Applications, Springer, vol. 147(2), pages 263-277, November.
    4. Agrell, Per J., 1997. "On redundancy in multi criteria decision making," European Journal of Operational Research, Elsevier, vol. 98(3), pages 571-586, May.
    5. Dimo Brockhoff & Eckart Zitzler, 2007. "Dimensionality Reduction in Multiobjective Optimization: The Minimum Objective Subset Problem," Operations Research Proceedings, in: Karl-Heinz Waldmann & Ulrike M. Stocker (ed.), Operations Research Proceedings 2006, pages 423-429, Springer.
    6. Lindroth, Peter & Patriksson, Michael & Strömberg, Ann-Brith, 2010. "Approximating the Pareto optimal set using a reduced set of objective functions," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1519-1534, December.
    7. R. Horst & N. V. Thoai & Y. Yamamoto & D. Zenke, 2007. "On Optimization over the Efficient Set in Linear Multicriteria Programming," Journal of Optimization Theory and Applications, Springer, vol. 134(3), pages 433-443, September.
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    Cited by:

    1. Dranichak, Garrett M. & Wiecek, Margaret M., 2019. "On highly robust efficient solutions to uncertain multiobjective linear programs," European Journal of Operational Research, Elsevier, vol. 273(1), pages 20-30.
    2. Chassein, André & Goerigk, Marc & Kasperski, Adam & Zieliński, Paweł, 2020. "Approximating combinatorial optimization problems with the ordered weighted averaging criterion," European Journal of Operational Research, Elsevier, vol. 286(3), pages 828-838.
    3. Kostin, Andrei & Guillén-Gosálbez, Gonzalo & Jiménez, Laureano, 2015. "Dimensionality reduction applied to the simultaneous optimization of the economic and life cycle environmental performance of supply chains," International Journal of Production Economics, Elsevier, vol. 159(C), pages 223-232.
    4. Boland, Natashia & Charkhgard, Hadi & Savelsbergh, Martin, 2019. "Preprocessing and cut generation techniques for multi-objective binary programming," European Journal of Operational Research, Elsevier, vol. 274(3), pages 858-875.

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