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The Pascoletti–Serafini Scalarization Scheme and Linear Vector Optimization

Author

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  • N. T. T. Huong

    (Le Qui Don University)

  • N. D. Yen

    (Vietnam Academy of Science and Technology)

Abstract

The Pascoletti–Serafini scalarization scheme for general vector optimization problems is studied. It is specified to linear vector optimization to give minimal representation formulae for the weakly efficient solution set and the efficient solution set. Several facts on connectedness of the solution sets of Pascoletti–Serafini’s scalar auxiliary problems, both for linear vector optimization and for nonlinear vector optimization, are established.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:joptap:v:162:y:2014:i:2:d:10.1007_s10957-013-0294-8
    DOI: 10.1007/s10957-013-0294-8
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    References listed on IDEAS

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    1. X. H. Gong, 2007. "Connectedness of the Solution Sets and Scalarization for Vector Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 133(2), pages 151-161, May.
    2. X. H. Gong, 2001. "Efficiency and Henig Efficiency for Vector Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 108(1), pages 139-154, January.
    3. Gabriele Eichfelder, 2009. "Scalarizations for adaptively solving multi-objective optimization problems," Computational Optimization and Applications, Springer, vol. 44(2), pages 249-273, November.
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    Cited by:

    1. Yangdong Xu & Pingping Zhang, 2018. "Connectedness of Solution Sets of Strong Vector Equilibrium Problems with an Application," Journal of Optimization Theory and Applications, Springer, vol. 178(1), pages 131-152, July.
    2. Oscar Rodríguez-Espíndola, 2023. "Two-stage stochastic formulation for relief operations with multiple agencies in simultaneous disasters," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 45(2), pages 477-523, June.

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