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Multiobjective Optimization: A Brief Overview

In: Pareto Optimality, Game Theory And Equilibria

Author

Listed:
  • Massimo Pappalardo

    (University of Pisa)

Abstract

To define optimality when we are in presence of several conflicting objectives, we need “good” definition of order in R p . After this, we can study many types of problems: existence of solutions, optimality conditions, and solution methods.

Suggested Citation

  • Massimo Pappalardo, 2008. "Multiobjective Optimization: A Brief Overview," Springer Optimization and Its Applications, in: Altannar Chinchuluun & Panos M. Pardalos & Athanasios Migdalas & Leonidas Pitsoulis (ed.), Pareto Optimality, Game Theory And Equilibria, pages 517-528, Springer.
    • Handle: RePEc:spr:spochp:978-0-387-77247-9_19
    DOI: 10.1007/978-0-387-77247-9_19
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    Citations

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    Cited by:

    1. Zhang, Weihua & Reimann, Marc, 2014. "A simple augmented ∊-constraint method for multi-objective mathematical integer programming problems," European Journal of Operational Research, Elsevier, vol. 234(1), pages 15-24.
    2. Brito, A.S. & Cruz Neto, J.X. & Santos, P.S.M. & Souza, S.S., 2017. "A relaxed projection method for solving multiobjective optimization problems," European Journal of Operational Research, Elsevier, vol. 256(1), pages 17-23.
    3. Nikolai Krivulin, 2020. "Using tropical optimization techniques in bi-criteria decision problems," Computational Management Science, Springer, vol. 17(1), pages 79-104, January.
    4. Jose Pangilinan & Gerrit Janssens, 2011. "Pareto-optimality of oblique decision trees from evolutionary algorithms," Journal of Global Optimization, Springer, vol. 51(2), pages 301-311, October.
    5. Nikolai Krivulin, 2021. "Algebraic Solution to Constrained Bi-Criteria Decision Problem of Rating Alternatives through Pairwise Comparisons," Mathematics, MDPI, vol. 9(4), pages 1-22, February.

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