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An outcome space algorithm for optimization over the weakly efficient set of a multiple objective nonlinear programming problem

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  • Harold Benson

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  • Harold Benson, 2012. "An outcome space algorithm for optimization over the weakly efficient set of a multiple objective nonlinear programming problem," Journal of Global Optimization, Springer, vol. 52(3), pages 553-574, March.
    • Handle: RePEc:spr:jglopt:v:52:y:2012:i:3:p:553-574
    DOI: 10.1007/s10898-011-9786-y
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    References listed on IDEAS

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    1. Jonathan M. Borwein, 1983. "On the Existence of Pareto Efficient Points," Mathematics of Operations Research, INFORMS, vol. 8(1), pages 64-73, February.
    2. Dessouky, M. I. & Ghiassi, M. & Davis, W. J., 1986. "Estimates of the minimum nondominated criterion values in multiple-criteria decision-making," Engineering Costs and Production Economics, Elsevier, vol. 10(2), pages 95-104, June.
    3. Benson, Harold P., 1986. "An algorithm for optimizing over the weakly-efficient set," European Journal of Operational Research, Elsevier, vol. 25(2), pages 192-199, May.
    4. Thoai, Nguyen V., 2000. "A class of optimization problems over the efficient set of a multiple criteria nonlinear programming problem," European Journal of Operational Research, Elsevier, vol. 122(1), pages 58-68, April.
    5. Yamada, Syuuji & Tanino, Tetsuzo & Inuiguchi, Masahiro, 2001. "An inner approximation method incorporating a branch and bound procedure for optimization over the weakly efficient set," European Journal of Operational Research, Elsevier, vol. 133(2), pages 267-286, January.
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    Cited by:

    1. Schöbel, Anita & Zhou-Kangas, Yue, 2021. "The price of multiobjective robustness: Analyzing solution sets to uncertain multiobjective problems," European Journal of Operational Research, Elsevier, vol. 291(2), pages 782-793.
    2. Erjiang Sun, 2017. "On Optimization Over the Efficient Set of a Multiple Objective Linear Programming Problem," Journal of Optimization Theory and Applications, Springer, vol. 172(1), pages 236-246, January.
    3. Kahina Ghazli & Nicolas Gillis & Mustapha Moulaï, 2020. "Optimizing over the properly efficient set of convex multi-objective optimization problems," Annals of Operations Research, Springer, vol. 295(2), pages 575-604, December.

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